subject:(Kelvin Voigt fractional derivative model)

University of Illinois – Urbana-Champaign

1. Wang, Yue. Soft tissue viscoelastic properties: measurements, models and interpretation.

Degree: PhD, Bioengineering, 2016, University of Illinois – Urbana-Champaign

► The quantification of mechanical properties of soft tissues has been of great interest for more than two decades because they have the potential of being… (more)

▼ The quantification of mechanical properties of soft tissues has been of great interest for more than two decades because they have the potential of being used as biomarkers for disease diagnosis. Indentation techniques, the most recognized techniques for characterizing mechanical properties, are widely used for basic science investigations in research labs. The use of elastography techniques coupled with imaging technologies has been growing rapidly in recent years, which is promising for clinical applications. Each technique produces different mechanical behaviors due to the interaction of the stimuli and the structure of the tissue. An appropriate model will parameterize these behaviors to reflect the corresponding tissue microscopic features with high fidelity. The objective of this thesis is to identify combinations of techniques and models that will yield mechanical parameters with diagnostic interpretations about tissue microenvironment. Three techniques for characterizing tissue viscoelastic properties were developed and validated, each offers strengths in a large variety of applications. Indentation based techniques measure low-frequency force-displacement curves under different loading profiles. Ultrasound-based techniques and optical based techniques measure the dispersion behaviors of the propagating wave velocities at mid-to-high frequency ranges. When a material is linear, isotropic, and contains only elastic components, the “intrinsic” elastic modulus of the material can be obtained independently of the technique used when corrections are properly made to eliminate the bias from boundary effects. If the material includes time-dependent components, models must be included in the analysis to provide parametric estimates. Classical models for viscoelastic solids such as the Kelvin-Voigt model do not fully represent mechanical measurements in tissues because they are not material continua. Tissue properties are determined in part by fluid movement in the open- and closed-cell compartments found within a viscoelastic collagen matrix that is actively maintained by the embedded cells to meet programmed needs. These biphasic (solid/fluid) media exhibit multifaceted deformation responses that are particularly difficult to model using a concise feature set. The Kelvin-Voigt fractional derivative (KVFD) model introduced in this study represents the measurement data of a broad range in both time and frequency domain with a small number of parameters, and it yields stable estimates for many types of phantoms and tissues. It is superior to the integer derivative models for the materials and techniques we used in this study. Moreover, the KVFD model provides a three-dimensional feature space of mechanical properties that properly characterizes the composition and structure of a material. This was validated through measurements on gelatin-cream emulsion samples exhibiting viscoelastic behavior, as well as ex vivo liver tissue samples. For the elastic property, KVFD parameter E_0 mainly represents the elasticity of… Advisors/Committee Members: Insana, Michael F (advisor), Insana, Michael F (Committee Chair), Boppart, Stephen A (committee member), Sutton, Brad P (committee member), Wagoner Johnson, Amy (committee member).

Subjects/Keywords: Tissue mechanical property; viscoelastic properties; shear wave imaging; indentation; Kelvin-Voigt fractional derivative model

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APA (6^th Edition):

Wang, Y. (2016). Soft tissue viscoelastic properties: measurements, models and interpretation. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/90855

Chicago Manual of Style (16^th Edition):

Wang, Yue. “Soft tissue viscoelastic properties: measurements, models and interpretation.” 2016. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed December 16, 2019. http://hdl.handle.net/2142/90855.

MLA Handbook (7^th Edition):

Wang, Yue. “Soft tissue viscoelastic properties: measurements, models and interpretation.” 2016. Web. 16 Dec 2019.

Vancouver:

Wang Y. Soft tissue viscoelastic properties: measurements, models and interpretation. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2016. [cited 2019 Dec 16]. Available from: http://hdl.handle.net/2142/90855.

Council of Science Editors:

Wang Y. Soft tissue viscoelastic properties: measurements, models and interpretation. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2016. Available from: http://hdl.handle.net/2142/90855

Delft University of Technology

2. Linskens, H.T.K. Tether Dynamics Analysis and Guidance & Control Design for Active Space Debris Removal:.

Degree: 2015, Delft University of Technology

URL: http://resolver.tudelft.nl/uuid:ea17ecb8-a9c1-4ac0-a209-75526ad54f14

► Recent years have seen a steep increase in research being performed towards active space debris removal: space debris has proven to be a very real… (more)

▼ Recent years have seen a steep increase in research being performed towards active space debris removal: space debris has proven to be a very real threat to operational spacecraft, and studies indicate that the frequency of collisions will only increase if nothing is done to remove large pieces of debris. In particular, ESA has done studies towards removing Envisat from orbit, after communications were lost and were unable to be reestablished. To this end, a scenario was proposed in which a robotic chaser satellite would use a tether to interface with Envisat, either using a net or a harpoon, and proceed to deorbit the resulting tethered system. This research tackles two main challenges relating to this scenario. First, a suitable model for the tether was developed by discretizing the tether into a number of point masses and massless Kelvin-Voigt elements. The influence of the number of nodes was investigated, showing that increasing the number of nodes used does not significantly increase the fidelity of the solution. Therefore, it was chosen to model the tether with two nodes and three elements. Additionally, multiple combinations of tether length, stiffness, and damping were investigated. Second, a preliminary design for a guidance and control system was developed. This system uses multiple fixed-duration burns as the main deorbit strategy. The guidance system controls the relative state of the chaser with respect to the target during and after these main engine burns: during burns, a hold point is established at the equilibrium length of the tether, and during coasting phases the tether is kept slightly in tension to reduce target and tether motion. At the transition between thrusting and coasting phases, the thrust is gradually throttled down to further decrease these motions. The control system is designed to keep the chaser level with the local horizon at all times. During the design process, the performance of guidance and control systems based on linear quadratic regulators was used as a baseline for the same systems based on sliding-mode control. Furthermore, three different thrust levels for the deorbit burn were examined. It was found that the system based on sliding-mode control offered considerable performance improvements over the LQR-based system: total propellant consumption was reduced by an average of 48%, while adhering to the same tolerances. Furthermore, it was determined that high thrust levels are desirable for both reducing propellant consumption as well as reducing target rotation. In terms of safety, collision can best be avoided by using lower thrust levels or longer tethers. While this seems to conflict with minimizing required propellant, minimal target rotation and minimal propellant consumption can still be achieved by using long tethers with high stiffness. Finally, it was found that while sensitive to small changes in the initial conditions, the precision of the terminal point is still high enough to allow the target to be deorbited in the South Pacific Ocean. This result was… Advisors/Committee Members: Mooij, E..

Subjects/Keywords: space debris; active debris removal; tether dynamics; guidance; control; sliding mode control; Envisat; lumped-mass model; Kelvin-Voigt material

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APA (6^th Edition):

Linskens, H. T. K. (2015). Tether Dynamics Analysis and Guidance & Control Design for Active Space Debris Removal:. (Masters Thesis). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:ea17ecb8-a9c1-4ac0-a209-75526ad54f14

Chicago Manual of Style (16^th Edition):

Linskens, H T K. “Tether Dynamics Analysis and Guidance & Control Design for Active Space Debris Removal:.” 2015. Masters Thesis, Delft University of Technology. Accessed December 16, 2019. http://resolver.tudelft.nl/uuid:ea17ecb8-a9c1-4ac0-a209-75526ad54f14.

MLA Handbook (7^th Edition):

Linskens, H T K. “Tether Dynamics Analysis and Guidance & Control Design for Active Space Debris Removal:.” 2015. Web. 16 Dec 2019.

Vancouver:

Linskens HTK. Tether Dynamics Analysis and Guidance & Control Design for Active Space Debris Removal:. [Internet] [Masters thesis]. Delft University of Technology; 2015. [cited 2019 Dec 16]. Available from: http://resolver.tudelft.nl/uuid:ea17ecb8-a9c1-4ac0-a209-75526ad54f14.

Council of Science Editors:

Linskens HTK. Tether Dynamics Analysis and Guidance & Control Design for Active Space Debris Removal:. [Masters Thesis]. Delft University of Technology; 2015. Available from: http://resolver.tudelft.nl/uuid:ea17ecb8-a9c1-4ac0-a209-75526ad54f14

RMIT University

3. Hii, K. Rheological characterisation of thermally hydrolysed waste activated sludge.

Degree: 2019, RMIT University

URL: http://researchbank.rmit.edu.au/view/rmit:162790

► Hydrothermal sludge processing is a branch of sludge treatment technologies finding increased adoption in modern sewage treatment processes. These technologies involve the use of elevated… (more)

▼ Hydrothermal sludge processing is a branch of sludge treatment technologies finding increased adoption in modern sewage treatment processes. These technologies involve the use of elevated temperature conditions to desirably alter sludge characteristics in the liquid phase. Benefits of these processes, such as thermal hydrolysis pre-treatment, include increased biogas production during anaerobic digestion, improved sludge dewaterability, sterilization of sludge, and improved transport operations due to desirable rheological enhancements. Sludge rheology plays a significant role in the design and operation of these sludge-handling processes. Despite this, rheological studies related to sludge in hydrothermal processing conditions is very scarce. Therefore, a better understanding of sludge’s rheological properties, especially at the high temperature conditions encountered during hydrothermal processing is required for better optimization of these processes. This study investigates the rheological characteristics of thickened waste activated sludge (WAS) in thermal hydrolysis (TH) processes. Using in-situ rheometric measurements, changes in the sludge’s flow properties due to the impact of treatment conditions (temperature, time, and sludge concentration) were examined. These changes were related to the solubilisation of sludge organics, measured by the chemical oxygen demand (COD) of sludge. Based on these observations, equations were derived to predict the rheological properties of sludge at various conditions of TH and its link to COD. Furthermore, the viscoelastic properties of the thickened, untreated and thermally-treated sludges were studied in order to characterize sludge’s solid-like properties. A correlation was proposed to associate sludge’s viscoelastic data to flow curve data such that oscillatory measurement techniques could be used to collect steadyshear data which are traditionally obtained via rotational measurement. In-situ rheological measurements revealed WAS behaved as a shear-thinning, yield stress fluid which could be described by the Herschel-Bulkley model. Despite elevated treatment temperatures (80 – 140 °C), Newtonian flow behaviour was not observed at any time in the sludge. The flow behaviour of the sludge at all treatment conditions examined could be described by a single master curve. This means sludge’s flow behaviour was governed by a similar network of physical interactions regardless of its concentration or treatment conditions. As a result of TH, the apparent viscosity, η, and Herschel-Bulkley rheological parameters (yield stress, σc, and consistency index, k) were reduced irreversibly. The extent of this reduction followed a linear relationship with treatment temperature. The in-situ values of η, σc, and k were up to 92% lower compared to measurements after the thermally-treated sludge is cooled to ambient temperature. In-situ measurements also showed that…

Subjects/Keywords: Fields of Research; Waste activated sludge; Sewage sludge rheology; Thermal hydrolysis; Yield stress; Viscoelasticity; Cox-Merz; Sludge concentration; Fractional Kelvin-Voigt; Apparent viscosity; Hydrothermal processing

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APA (6^th Edition):

Hii, K. (2019). Rheological characterisation of thermally hydrolysed waste activated sludge. (Thesis). RMIT University. Retrieved from http://researchbank.rmit.edu.au/view/rmit:162790

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Hii, K. “Rheological characterisation of thermally hydrolysed waste activated sludge.” 2019. Thesis, RMIT University. Accessed December 16, 2019. http://researchbank.rmit.edu.au/view/rmit:162790.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Hii, K. “Rheological characterisation of thermally hydrolysed waste activated sludge.” 2019. Web. 16 Dec 2019.

Vancouver:

Hii K. Rheological characterisation of thermally hydrolysed waste activated sludge. [Internet] [Thesis]. RMIT University; 2019. [cited 2019 Dec 16]. Available from: http://researchbank.rmit.edu.au/view/rmit:162790.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Hii K. Rheological characterisation of thermally hydrolysed waste activated sludge. [Thesis]. RMIT University; 2019. Available from: http://researchbank.rmit.edu.au/view/rmit:162790

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Western Kentucky University

4. Uyanik, Meltem. Analysis of Discrete Fractional Operators and Discrete Fractional Rheological Models.

Degree: MS, Department of Mathematics, 2015, Western Kentucky University

URL: https://digitalcommons.wku.edu/theses/1491

► This thesis is comprised of two main parts: Monotonicity results on discrete fractional operators and discrete fractional rheological constitutive equations. In the first part… (more)

Subjects/Keywords: Discrete fractional calculus; discrete forward operator; discrete fractional Maxwell model; discrete fractional Kelvin-Voight model; Discrete Mathematics and Combinatorics; Mathematics; Other Applied Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Uyanik, M. (2015). Analysis of Discrete Fractional Operators and Discrete Fractional Rheological Models. (Masters Thesis). Western Kentucky University. Retrieved from https://digitalcommons.wku.edu/theses/1491

Chicago Manual of Style (16^th Edition):

Uyanik, Meltem. “Analysis of Discrete Fractional Operators and Discrete Fractional Rheological Models.” 2015. Masters Thesis, Western Kentucky University. Accessed December 16, 2019. https://digitalcommons.wku.edu/theses/1491.

MLA Handbook (7^th Edition):

Uyanik, Meltem. “Analysis of Discrete Fractional Operators and Discrete Fractional Rheological Models.” 2015. Web. 16 Dec 2019.

Vancouver:

Uyanik M. Analysis of Discrete Fractional Operators and Discrete Fractional Rheological Models. [Internet] [Masters thesis]. Western Kentucky University; 2015. [cited 2019 Dec 16]. Available from: https://digitalcommons.wku.edu/theses/1491.

Council of Science Editors:

Uyanik M. Analysis of Discrete Fractional Operators and Discrete Fractional Rheological Models. [Masters Thesis]. Western Kentucky University; 2015. Available from: https://digitalcommons.wku.edu/theses/1491

5. Najdi, Nadine. Étude de la stabilisation exponentielle et polynomiale de certains systèmes d'équations couplées par des contrôles indirects bornés ou non bornés : Study of the exponential and polynomial stability of some systems of coupled equations with indirect bounded or unbounded control.

Degree: Docteur es, Mathématiques. Mathématiques appliquées, 2016, Valenciennes; Université libanaise

URL: http://www.theses.fr/2016VALE0017

►

La thèse porte essentiellement sur la stabilisation indirecte de certains systèmes d’équations couplées moyennant un seul contrôle agissant localement à l’intérieur ou sur le bord… (more)

Subjects/Keywords: Stabilisation d'équations; Équations d'ondes couplées; Système de Bresse; Décroissance polynomiale; Modèle de Kelvin-Voigt; Wave equations; Bresse system; Polynomial decay; Kelvin-Voigt damping

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APA (6^th Edition):

Najdi, N. (2016). Étude de la stabilisation exponentielle et polynomiale de certains systèmes d'équations couplées par des contrôles indirects bornés ou non bornés : Study of the exponential and polynomial stability of some systems of coupled equations with indirect bounded or unbounded control. (Doctoral Dissertation). Valenciennes; Université libanaise. Retrieved from http://www.theses.fr/2016VALE0017

Chicago Manual of Style (16^th Edition):

Najdi, Nadine. “Étude de la stabilisation exponentielle et polynomiale de certains systèmes d'équations couplées par des contrôles indirects bornés ou non bornés : Study of the exponential and polynomial stability of some systems of coupled equations with indirect bounded or unbounded control.” 2016. Doctoral Dissertation, Valenciennes; Université libanaise. Accessed December 16, 2019. http://www.theses.fr/2016VALE0017.

MLA Handbook (7^th Edition):

Najdi, Nadine. “Étude de la stabilisation exponentielle et polynomiale de certains systèmes d'équations couplées par des contrôles indirects bornés ou non bornés : Study of the exponential and polynomial stability of some systems of coupled equations with indirect bounded or unbounded control.” 2016. Web. 16 Dec 2019.

Vancouver:

Najdi N. Étude de la stabilisation exponentielle et polynomiale de certains systèmes d'équations couplées par des contrôles indirects bornés ou non bornés : Study of the exponential and polynomial stability of some systems of coupled equations with indirect bounded or unbounded control. [Internet] [Doctoral dissertation]. Valenciennes; Université libanaise; 2016. [cited 2019 Dec 16]. Available from: http://www.theses.fr/2016VALE0017.

Council of Science Editors:

Najdi N. Étude de la stabilisation exponentielle et polynomiale de certains systèmes d'équations couplées par des contrôles indirects bornés ou non bornés : Study of the exponential and polynomial stability of some systems of coupled equations with indirect bounded or unbounded control. [Doctoral Dissertation]. Valenciennes; Université libanaise; 2016. Available from: http://www.theses.fr/2016VALE0017

New Jersey Institute of Technology

6. Causley, Matthew Frank. Asymptotic and numerical analysis of time-dependent wave propagation in dispersive dielectric media that exhibit fractional relaxation.

Degree: PhD, Mathematical Sciences, 2011, New Jersey Institute of Technology

URL: https://digitalcommons.njit.edu/dissertations/253

► This dissertation addresses electromagnetic pulse propagation through anomalously dispersive dielectric media. The Havriliak-Negami (H-N) and Cole-Cole (C-C) models capture the non-exponential nature of such… (more)

▼ This dissertation addresses electromagnetic pulse propagation through anomalously dispersive dielectric media. The Havriliak-Negami (H-N) and Cole-Cole (C-C) models capture the non-exponential nature of such dielectric relaxation phenomena, which is manifest in a variety of dispersive dielectric media. In the C-C model, the dielectric polarization is coupled to the time-dependent Maxwell's equations by a fractional differential equation involving the electric field. In the H-N case, a more general pseudo-fractional differential operator describes the polarization. The development and analysis of a robust method for implementing such models is presented, with an emphasis on algorithmic efficiency. Separate numerical schemes are presented for C-C and H-N media. A straightforward numerical implementation of these models using finite-difference time-domain (FD-TD) techniques is expected to be second order accurate in both space and time. However due to the singular nature of the kernels appearing in the fractional convolution operators, the standard C-C implementation, produces first order accuracy in time. As we show, this method is equivalent to most approaches presented in the current literature, which implies that they are also first order. The desired accuracy is instead achieved by applying multistep methods to the fractional differential equation; however multistep methods are unnecessary in the H-N implementation to preserve the accuracy. Furthermore, the C-C model is a specific case of the H-N model and can therefore be constructed using the latter of these approaches. The FD-TD methods are validated by evaluating the electric field for the signaling problem, using numerical quadrature to evaluate the integral form of the solution. This is accomplished using the Green's function of the dispersive medium; in addition, the behavior of pulse propagation is studied asymptotically using the Green's function, which further validates the observed results of the numerical experiments. Advisors/Committee Members: Peter G. Petropoulos, Gregory A. Kriegsmann, Jonathan H.C. Luke.

Subjects/Keywords: Time-dependent Maxwell's equations; FDTD method; Cole-Cole model; Dispersive dielectric; Havrilink-Negami model; Fractional derivative; Mathematics

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APA (6^th Edition):

Causley, M. F. (2011). Asymptotic and numerical analysis of time-dependent wave propagation in dispersive dielectric media that exhibit fractional relaxation. (Doctoral Dissertation). New Jersey Institute of Technology. Retrieved from https://digitalcommons.njit.edu/dissertations/253

Chicago Manual of Style (16^th Edition):

Causley, Matthew Frank. “Asymptotic and numerical analysis of time-dependent wave propagation in dispersive dielectric media that exhibit fractional relaxation.” 2011. Doctoral Dissertation, New Jersey Institute of Technology. Accessed December 16, 2019. https://digitalcommons.njit.edu/dissertations/253.

MLA Handbook (7^th Edition):

Causley, Matthew Frank. “Asymptotic and numerical analysis of time-dependent wave propagation in dispersive dielectric media that exhibit fractional relaxation.” 2011. Web. 16 Dec 2019.

Vancouver:

Causley MF. Asymptotic and numerical analysis of time-dependent wave propagation in dispersive dielectric media that exhibit fractional relaxation. [Internet] [Doctoral dissertation]. New Jersey Institute of Technology; 2011. [cited 2019 Dec 16]. Available from: https://digitalcommons.njit.edu/dissertations/253.

Council of Science Editors:

Causley MF. Asymptotic and numerical analysis of time-dependent wave propagation in dispersive dielectric media that exhibit fractional relaxation. [Doctoral Dissertation]. New Jersey Institute of Technology; 2011. Available from: https://digitalcommons.njit.edu/dissertations/253

Universiteit Utrecht

7. Benedetti, D. Quantum gravity from simplices: analytical investigations of causal dynamical triangulations.

Degree: 2007, Universiteit Utrecht

URL: http://dspace.library.uu.nl:8080/handle/1874/21745

► A potentially powerful approach to quantum gravity has been developed over the last few years under the name of Causal Dynamical Triangulations. Although these models… (more)

▼ A potentially powerful approach to quantum gravity has been developed over the last few years under the name of Causal Dynamical Triangulations. Although these models can be solved exactly in a variety of ways in the case of pure gravity in (1+1) dimensions,it is difficult to extend any of the analytical treatments to the case of higher dimensions and/or to that of matter coupling. The aim of this thesis is to try to take a small step beyond this impasse. After reviewing in Chapter 1 the methods and the results of causal dynamical triangulations, we proceed in the next two chapters to illustrate in detail two original pieces of work which both represent a small step away from the special case of pure gravity in two dimensions. In Chapter 2 we tackle the problem of coupling matter to causal dynamical triangulations in two dimensions. To fix a starting point we choose one of the simplest, and certainly the most notorious, matter fields on a lattice, the Ising model.We show how an old method of investigation for spin systems on a lattice, the high- and low-temperature expansion, can be applied on the dynamical lattice represented by the triangulation. The application is not trivial as it requires an ensemble average over the lattices for the graphs appearing in the expansion, but we will develop a scheme that allows the computation of such averages. The method is quite general and can in principle be used for other kinds of matter models. The work presented in Chapter 3 goes into the realm of higher dimensions. We introduce a particular model of three-dimensional causal dynamical triangulations and show that it can be solved in an asymptotic limit and a continuum quantum Hamiltonian is found. This is an important step in the understanding of these kinds of models, because this is the first case in which, for a dimension larger than two, a continuum limit has been obtained analytically, although many things remain to be understood and some approximations still removed. Together, the works presented in Chapter 2 and 3 constitute an advance in the analytical understanding of causal dynamical triangulations and have the appealing feature of indicating directions for further development.

Subjects/Keywords: Natuur- en Sterrenkunde; quantum gravity; causal dynamical triangulations; Ising model; random lattices; graph expansion; heap of pieces; replica method; fractional derivative

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APA (6^th Edition):

Benedetti, D. (2007). Quantum gravity from simplices: analytical investigations of causal dynamical triangulations. (Doctoral Dissertation). Universiteit Utrecht. Retrieved from http://dspace.library.uu.nl:8080/handle/1874/21745

Chicago Manual of Style (16^th Edition):

Benedetti, D. “Quantum gravity from simplices: analytical investigations of causal dynamical triangulations.” 2007. Doctoral Dissertation, Universiteit Utrecht. Accessed December 16, 2019. http://dspace.library.uu.nl:8080/handle/1874/21745.

MLA Handbook (7^th Edition):

Benedetti, D. “Quantum gravity from simplices: analytical investigations of causal dynamical triangulations.” 2007. Web. 16 Dec 2019.

Vancouver:

Benedetti D. Quantum gravity from simplices: analytical investigations of causal dynamical triangulations. [Internet] [Doctoral dissertation]. Universiteit Utrecht; 2007. [cited 2019 Dec 16]. Available from: http://dspace.library.uu.nl:8080/handle/1874/21745.

Council of Science Editors:

Benedetti D. Quantum gravity from simplices: analytical investigations of causal dynamical triangulations. [Doctoral Dissertation]. Universiteit Utrecht; 2007. Available from: http://dspace.library.uu.nl:8080/handle/1874/21745

Virginia Tech

8. Chang, Tsu-Sheng. Seismic Response of Structures with Added Viscoelastic Dampers.

Degree: PhD, Engineering Science and Mechanics, 2002, Virginia Tech

URL: http://hdl.handle.net/10919/29915

► Several passive energy dissipation devices have been implemented in practice as the seismic protective systems to mitigate structural damage caused by earthquakes. The solid viscoelastic… (more)

▼ Several passive energy dissipation devices have been implemented in practice as the seismic protective systems to mitigate structural damage caused by earthquakes. The solid viscoelastic dampers are among such passive energy dissipation systems. To examine the response reducing effectiveness of these dampers, it is necessary that engineers are able to conduct response analysis of structures installed with added dampers accurately and efficiently. The main objective of this work, therefore, is to develop formulations that can be effectively used with various models of the viscoelastic dampers to calculate the seismic response of a structure-damper system. To incorporate the mechanical effect from VE dampers in the structural dynamic design, it is important to use a proper force-deformation model to correctly describe the frequency dependence of the damper. The fractional derivative model and the general linear model are capable of capturing the frequency dependence of viscoelastic materials accurately. In our research, therefore, we have focused on the development of systematic procedures for calculating the seismic response for these models. For the fractional derivative model, we use the G1 and L1 algorithms to derive various numerical schemes for solving the fractional differential equations for earthquake motions described by acceleration time histories at discrete time points. For linear systems, we also develop a modal superposition method for this model of the damper. This superposition approach can be implemented to obtain the response time history for seismic input defined by the ground acceleration time history. For random ground motion that is described stochastically by the spectral density function, we derive an expression based on random vibration analysis to compute the mean square response of the system. It is noted that the numerical computations involved with the fractional derivative model can be complicated and cumbersome. To alleviate computation difficulty, we explore the use of a general linear model with Kelvin chain analog as a physical representation of the damper properties. The parameters in the model are determined through a curve fitting optimization process. To simplify the analytical work, a self-adjoint system of state equations are formulated by introducing auxiliary displacements for the internal elements in the Kelvin chain. This self-adjoint system can then be solved by using the modal superposition method, which can be extended to develop a response spectrum approach to calculate the seismic design response for the structural system for seismic inputs defined by design ground response spectra. Numerical studies are carried out to demonstrate the applicability of these formulations. Results show that all the proposed approaches provide accurate response values, and the response reduction effects of the viscoelastic dampers can be evaluated to assess their performance using these models and methods. However, the use of a general linear model of the damper is the most… Advisors/Committee Members: Singh, Mahendra P. (committeechair), Heller, Robert A. (committee member), Ragab, Saad A. (committee member), Plaut, Raymond H. (committee member), Hendricks, Scott L. (committee member).

Subjects/Keywords: seismic response; fractional derivative; general linear model; viscoelastic damper

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APA (6^th Edition):

Chang, T. (2002). Seismic Response of Structures with Added Viscoelastic Dampers. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/29915

Chicago Manual of Style (16^th Edition):

Chang, Tsu-Sheng. “Seismic Response of Structures with Added Viscoelastic Dampers.” 2002. Doctoral Dissertation, Virginia Tech. Accessed December 16, 2019. http://hdl.handle.net/10919/29915.

MLA Handbook (7^th Edition):

Chang, Tsu-Sheng. “Seismic Response of Structures with Added Viscoelastic Dampers.” 2002. Web. 16 Dec 2019.

Vancouver:

Chang T. Seismic Response of Structures with Added Viscoelastic Dampers. [Internet] [Doctoral dissertation]. Virginia Tech; 2002. [cited 2019 Dec 16]. Available from: http://hdl.handle.net/10919/29915.

Council of Science Editors:

Chang T. Seismic Response of Structures with Added Viscoelastic Dampers. [Doctoral Dissertation]. Virginia Tech; 2002. Available from: http://hdl.handle.net/10919/29915

Colorado School of Mines

9. Gladkina, Anastasia. Realizing fractional derivatives of elementary and composite functions through the generalized Euler's integral transform and integer derivative series : building the mathematical framework to model the fractional Schrödinger equation in fractional spacetime.

Degree: MS(M.S.), Physics, 2018, Colorado School of Mines

URL: http://hdl.handle.net/11124/172416

► Since the engenderment of fractional derivatives in 1695 as a continuous transformation between integer order derivatives, the physical applicability of fractional derivatives has been questioned.… (more)

Subjects/Keywords: Fractional calculus; Fractional Schroedinger equation; Nonlocality; Fractional derivative; Euler's integral transform; Multiscale material

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APA (6^th Edition):

Gladkina, A. (2018). Realizing fractional derivatives of elementary and composite functions through the generalized Euler's integral transform and integer derivative series : building the mathematical framework to model the fractional Schrödinger equation in fractional spacetime. (Masters Thesis). Colorado School of Mines. Retrieved from http://hdl.handle.net/11124/172416

Chicago Manual of Style (16^th Edition):

Gladkina, Anastasia. “Realizing fractional derivatives of elementary and composite functions through the generalized Euler's integral transform and integer derivative series : building the mathematical framework to model the fractional Schrödinger equation in fractional spacetime.” 2018. Masters Thesis, Colorado School of Mines. Accessed December 16, 2019. http://hdl.handle.net/11124/172416.

MLA Handbook (7^th Edition):

Gladkina, Anastasia. “Realizing fractional derivatives of elementary and composite functions through the generalized Euler's integral transform and integer derivative series : building the mathematical framework to model the fractional Schrödinger equation in fractional spacetime.” 2018. Web. 16 Dec 2019.

Vancouver:

Gladkina A. Realizing fractional derivatives of elementary and composite functions through the generalized Euler's integral transform and integer derivative series : building the mathematical framework to model the fractional Schrödinger equation in fractional spacetime. [Internet] [Masters thesis]. Colorado School of Mines; 2018. [cited 2019 Dec 16]. Available from: http://hdl.handle.net/11124/172416.

Council of Science Editors:

Gladkina A. Realizing fractional derivatives of elementary and composite functions through the generalized Euler's integral transform and integer derivative series : building the mathematical framework to model the fractional Schrödinger equation in fractional spacetime. [Masters Thesis]. Colorado School of Mines; 2018. Available from: http://hdl.handle.net/11124/172416

Southern Illinois University

10. Pathak, Nimishaben Shailesh. Lyapunov-type inequality and eigenvalue estimates for fractional problems.

Degree: PhD, Mathematics, 2016, Southern Illinois University

URL: http://opensiuc.lib.siu.edu/dissertations/1249

► In this work, we establish the Lyapunov-type inequalities for the fractional boundary value problems with Hilfer derivative for different boundary conditions. We apply this… (more)

Subjects/Keywords: fractional derivative; Green’s function; Hilfer derivative; Laplace transforms; Lyapunov inequality; Mittag-Leffler function

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APA (6^th Edition):

Pathak, N. S. (2016). Lyapunov-type inequality and eigenvalue estimates for fractional problems. (Doctoral Dissertation). Southern Illinois University. Retrieved from http://opensiuc.lib.siu.edu/dissertations/1249

Chicago Manual of Style (16^th Edition):

Pathak, Nimishaben Shailesh. “Lyapunov-type inequality and eigenvalue estimates for fractional problems.” 2016. Doctoral Dissertation, Southern Illinois University. Accessed December 16, 2019. http://opensiuc.lib.siu.edu/dissertations/1249.

MLA Handbook (7^th Edition):

Pathak, Nimishaben Shailesh. “Lyapunov-type inequality and eigenvalue estimates for fractional problems.” 2016. Web. 16 Dec 2019.

Vancouver:

Pathak NS. Lyapunov-type inequality and eigenvalue estimates for fractional problems. [Internet] [Doctoral dissertation]. Southern Illinois University; 2016. [cited 2019 Dec 16]. Available from: http://opensiuc.lib.siu.edu/dissertations/1249.

Council of Science Editors:

Pathak NS. Lyapunov-type inequality and eigenvalue estimates for fractional problems. [Doctoral Dissertation]. Southern Illinois University; 2016. Available from: http://opensiuc.lib.siu.edu/dissertations/1249

Queensland University of Technology

11. Hejazi, Hala Ahmad. Finite volume methods for simulating anomalous transport.

Degree: 2015, Queensland University of Technology

URL: https://eprints.qut.edu.au/81751/

► In this thesis a new approach for solving a certain class of anomalous diffusion equations was developed. The theory and algorithms arising from this work… (more)

Subjects/Keywords: Riemann-Liouville fractional derivative; Grunwald-Letnikov fractional derivative; Caputo fractional derivative; Riesz fractional derivative; Anomalous diffusion; Composite medium; Finite volume method; Fractional advection-dispersion equation; Second-order accurate shifted Grunwald; Stability and Convergence

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APA (6^th Edition):

Hejazi, H. A. (2015). Finite volume methods for simulating anomalous transport. (Thesis). Queensland University of Technology. Retrieved from https://eprints.qut.edu.au/81751/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Hejazi, Hala Ahmad. “Finite volume methods for simulating anomalous transport.” 2015. Thesis, Queensland University of Technology. Accessed December 16, 2019. https://eprints.qut.edu.au/81751/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Hejazi, Hala Ahmad. “Finite volume methods for simulating anomalous transport.” 2015. Web. 16 Dec 2019.

Vancouver:

Hejazi HA. Finite volume methods for simulating anomalous transport. [Internet] [Thesis]. Queensland University of Technology; 2015. [cited 2019 Dec 16]. Available from: https://eprints.qut.edu.au/81751/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Hejazi HA. Finite volume methods for simulating anomalous transport. [Thesis]. Queensland University of Technology; 2015. Available from: https://eprints.qut.edu.au/81751/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Queensland University of Technology

12. Yang, Qianqian. Novel analytical and numerical methods for solving fractional dynamical systems.

Degree: 2010, Queensland University of Technology

URL: https://eprints.qut.edu.au/35750/

► During the past three decades, the subject of fractional calculus (that is, calculus of integrals and derivatives of arbitrary order) has gained considerable popularity and… (more)

Subjects/Keywords: Riemann-Liouville fractional derivative, Grunwald-Letnikov fractional derivative, Caputo fractional derivative, Riesz fractional derivative, fractional Laplacian, anomalous diffusion, fractional diffusion equation, fractional advection-dispersion equation; fractional Fokker-Planck equation, fractional cable equation, numerical method, stability and convergence, L1/L2-approximation, standard/shifted Grunwald method, matrix transform method, fractional method of lines, Lanczos approximation; M-Lanczos approximation, matrix functions, Mittag-Leffler function, Laplace transform of fractional derivative; ODTA

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APA (6^th Edition):

Yang, Q. (2010). Novel analytical and numerical methods for solving fractional dynamical systems. (Thesis). Queensland University of Technology. Retrieved from https://eprints.qut.edu.au/35750/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Yang, Qianqian. “Novel analytical and numerical methods for solving fractional dynamical systems.” 2010. Thesis, Queensland University of Technology. Accessed December 16, 2019. https://eprints.qut.edu.au/35750/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Yang, Qianqian. “Novel analytical and numerical methods for solving fractional dynamical systems.” 2010. Web. 16 Dec 2019.

Vancouver:

Yang Q. Novel analytical and numerical methods for solving fractional dynamical systems. [Internet] [Thesis]. Queensland University of Technology; 2010. [cited 2019 Dec 16]. Available from: https://eprints.qut.edu.au/35750/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Yang Q. Novel analytical and numerical methods for solving fractional dynamical systems. [Thesis]. Queensland University of Technology; 2010. Available from: https://eprints.qut.edu.au/35750/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

13. Coussot, Cecile. Fractional derivative models and their use in the characterization of hydropolymer and in-vivo breast tissue viscoelasticity.

Degree: MS, Bioengineering, 2008, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/5160

► The Viscoelastic response of hydropolymers, which include gelatin phantom and glandular breast tissue, may be accurately characterized with as few as three parameters using the… (more)

Subjects/Keywords: Fractional derivative models; Viscoelasticity

…is to review the extensive literature on Kelvin-Voigt fractional derivative (KVFD)… …been described by a generalized Kelvin-Voigt model consisting of the sum of many real… …generalized Kelvin-Voigt model by applying singular-value decomposition methods [23]… …two component Kelvin-Voigt model was proposed. Parameters were then associated with the two… …x28;Kelvin Voigt units) in the VE response. We then apply a three-parameter KVFD model…

10 more images…

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APA (6^th Edition):

Coussot, C. (2008). Fractional derivative models and their use in the characterization of hydropolymer and in-vivo breast tissue viscoelasticity. (Thesis). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/5160

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Coussot, Cecile. “Fractional derivative models and their use in the characterization of hydropolymer and in-vivo breast tissue viscoelasticity.” 2008. Thesis, University of Illinois – Urbana-Champaign. Accessed December 16, 2019. http://hdl.handle.net/2142/5160.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Coussot, Cecile. “Fractional derivative models and their use in the characterization of hydropolymer and in-vivo breast tissue viscoelasticity.” 2008. Web. 16 Dec 2019.

Vancouver:

Coussot C. Fractional derivative models and their use in the characterization of hydropolymer and in-vivo breast tissue viscoelasticity. [Internet] [Thesis]. University of Illinois – Urbana-Champaign; 2008. [cited 2019 Dec 16]. Available from: http://hdl.handle.net/2142/5160.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Coussot C. Fractional derivative models and their use in the characterization of hydropolymer and in-vivo breast tissue viscoelasticity. [Thesis]. University of Illinois – Urbana-Champaign; 2008. Available from: http://hdl.handle.net/2142/5160

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of New South Wales

14. Donnelly, Isaac. Continuous and discrete time stochastic transport: mathematical models of fractional transport on networks and in a continuum.

Degree: Mathematics & Statistics, 2016, University of New South Wales

URL: http://handle.unsw.edu.au/1959.4/56850 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:41647/SOURCE02?view=true

► Analysing and predicting dynamics of stochastic transport systems is paramount in fields including chemistry, physics and finance. A major component of these systems is diffusion;… (more)

▼ Analysing and predicting dynamics of stochastic transport systems is paramount in fields including chemistry, physics and finance. A major component of these systems is diffusion; a transport process whereby particles move from a region of high concentration to a region of low concentration. Incorporating non-Markovian behaviour, as many real systems do, may lead to subdiffusion.A widely used model of diffusion is a continuous time random walk, which involves separate jump and waiting time densities. A waiting time density with a finite mean leads to standard diffusion whilst a density where the mean diverges leads to subdiffusion. Additional processes such as reactions and forcing for single and multiple species can be readily incorporated.In this thesis we review the rich literature of continuous time random walk models of subdiffusion with extensions to reactions and forcing and we put forward a model incorporating all three components. We analyse the behaviour of the continuous time random walk model both in and away from the diffusion limit. This limit corresponds to instantaneous local jumps in a spatial continuum. We then develop a new model of subdiffusion known as the discrete time random walk and highlight beneficial properties including it being an explicit numerical method. Historically continuous time random walks and subdiffusion have been analysed on lattice models of the continuum but we extend this to a generalized network model. We highlight interesting behaviour that arises due to the irregular nature of the topology of many random and real-world networks. We conclude by considering the relationship of both continuous and discrete time random walks on regular lattices and networks as well as the diffusion limit. We have also included examples of both toy and real systems to guide the reader through technical discussions as well as highlighting theimportance of diffusion in many stochastic transport systems. Advisors/Committee Members: Henry, Bruce, Mathematics & Statistics, Faculty of Science, UNSW, Angstmann, Chris, Mathematics & Statistics, Faculty of Science, UNSW, Froyland, Gary, Mathematics & Statistics, Faculty of Science, UNSW.

Subjects/Keywords: Complex system; Stochastic process; Network; Stochastic transport; Fractional derivative; Limit process

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APA (6^th Edition):

Donnelly, I. (2016). Continuous and discrete time stochastic transport: mathematical models of fractional transport on networks and in a continuum. (Doctoral Dissertation). University of New South Wales. Retrieved from http://handle.unsw.edu.au/1959.4/56850 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:41647/SOURCE02?view=true

Chicago Manual of Style (16^th Edition):

Donnelly, Isaac. “Continuous and discrete time stochastic transport: mathematical models of fractional transport on networks and in a continuum.” 2016. Doctoral Dissertation, University of New South Wales. Accessed December 16, 2019. http://handle.unsw.edu.au/1959.4/56850 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:41647/SOURCE02?view=true.

MLA Handbook (7^th Edition):

Donnelly, Isaac. “Continuous and discrete time stochastic transport: mathematical models of fractional transport on networks and in a continuum.” 2016. Web. 16 Dec 2019.

Vancouver:

Donnelly I. Continuous and discrete time stochastic transport: mathematical models of fractional transport on networks and in a continuum. [Internet] [Doctoral dissertation]. University of New South Wales; 2016. [cited 2019 Dec 16]. Available from: http://handle.unsw.edu.au/1959.4/56850 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:41647/SOURCE02?view=true.

Council of Science Editors:

Donnelly I. Continuous and discrete time stochastic transport: mathematical models of fractional transport on networks and in a continuum. [Doctoral Dissertation]. University of New South Wales; 2016. Available from: http://handle.unsw.edu.au/1959.4/56850 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:41647/SOURCE02?view=true

University of South Africa

15. Toudjeu, Ignace Tchangou. Mathematical analysis of generalized linear evolution equations with the non-singular kernel derivative .

Degree: 2019, University of South Africa

URL: http://hdl.handle.net/10500/25774

► Linear Evolution Equations (LEE) have been studied extensively over many years. Their extension in the field of fractional calculus have been defined by Dαu(x, t)… (more)

Subjects/Keywords: Mathematical analysis; Evolution equation; Caputo-Fabrizio derivative; Diffusion equation; Fractional calculus; Non-singular kernel derivative; Fractional derivative; Solution operators; Semigroup; Well-posedness

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APA (6^th Edition):

Toudjeu, I. T. (2019). Mathematical analysis of generalized linear evolution equations with the non-singular kernel derivative . (Masters Thesis). University of South Africa. Retrieved from http://hdl.handle.net/10500/25774

Chicago Manual of Style (16^th Edition):

Toudjeu, Ignace Tchangou. “Mathematical analysis of generalized linear evolution equations with the non-singular kernel derivative .” 2019. Masters Thesis, University of South Africa. Accessed December 16, 2019. http://hdl.handle.net/10500/25774.

MLA Handbook (7^th Edition):

Toudjeu, Ignace Tchangou. “Mathematical analysis of generalized linear evolution equations with the non-singular kernel derivative .” 2019. Web. 16 Dec 2019.

Vancouver:

Toudjeu IT. Mathematical analysis of generalized linear evolution equations with the non-singular kernel derivative . [Internet] [Masters thesis]. University of South Africa; 2019. [cited 2019 Dec 16]. Available from: http://hdl.handle.net/10500/25774.

Council of Science Editors:

Toudjeu IT. Mathematical analysis of generalized linear evolution equations with the non-singular kernel derivative . [Masters Thesis]. University of South Africa; 2019. Available from: http://hdl.handle.net/10500/25774

University of South Africa

16. Ncube, Mahluli Naisbitt. The natural transform decomposition method for solving fractional differential equations .

Degree: 2018, University of South Africa

URL: http://hdl.handle.net/10500/25348

► In this dissertation, we use the Natural transform decomposition method to obtain approximate analytical solution of fractional differential equations. This technique is a combination of… (more)

Subjects/Keywords: Fractional differential equations; Special functions; Natural transform; Decomposition methods; Caputo fractional derivative; Caputo-Fabrizio fractional derivative; Adomian decomposition method; Homotopy perturbation method; Daftardar-Jafari method; Integral transform

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APA (6^th Edition):

Ncube, M. N. (2018). The natural transform decomposition method for solving fractional differential equations . (Masters Thesis). University of South Africa. Retrieved from http://hdl.handle.net/10500/25348

Chicago Manual of Style (16^th Edition):

Ncube, Mahluli Naisbitt. “The natural transform decomposition method for solving fractional differential equations .” 2018. Masters Thesis, University of South Africa. Accessed December 16, 2019. http://hdl.handle.net/10500/25348.

MLA Handbook (7^th Edition):

Ncube, Mahluli Naisbitt. “The natural transform decomposition method for solving fractional differential equations .” 2018. Web. 16 Dec 2019.

Vancouver:

Ncube MN. The natural transform decomposition method for solving fractional differential equations . [Internet] [Masters thesis]. University of South Africa; 2018. [cited 2019 Dec 16]. Available from: http://hdl.handle.net/10500/25348.

Council of Science Editors:

Ncube MN. The natural transform decomposition method for solving fractional differential equations . [Masters Thesis]. University of South Africa; 2018. Available from: http://hdl.handle.net/10500/25348

Brno University of Technology

17. Šustková, Apolena. Analýza dvoudimenzionálních modelů neceločíselného řádu .

Degree: 2019, Brno University of Technology

URL: http://hdl.handle.net/11012/179512

► Tato bakalářská práce se zabývá analýzou dvoudimenzionálních modelů neceločíselného řádu. Samotné analýze předchází seznámení se základní problematikou týkající se teorie celočíselného a neceločíselného řádu. Analýza… (more)

Subjects/Keywords: Teorie neceločíselného řádu; Caputova derivace; soustavy diferenciálních rovnic; stabilita; bod rovnováhy; Lotkův-Volterrův model; bruselátor; Theory of fractional calculus; Caputo derivative; systems of differential equations; stability; equilibrium point; Lotka-Volterra model; Brusselator

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APA (6^th Edition):

Šustková, A. (2019). Analýza dvoudimenzionálních modelů neceločíselného řádu . (Thesis). Brno University of Technology. Retrieved from http://hdl.handle.net/11012/179512

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Šustková, Apolena. “Analýza dvoudimenzionálních modelů neceločíselného řádu .” 2019. Thesis, Brno University of Technology. Accessed December 16, 2019. http://hdl.handle.net/11012/179512.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Šustková, Apolena. “Analýza dvoudimenzionálních modelů neceločíselného řádu .” 2019. Web. 16 Dec 2019.

Vancouver:

Šustková A. Analýza dvoudimenzionálních modelů neceločíselného řádu . [Internet] [Thesis]. Brno University of Technology; 2019. [cited 2019 Dec 16]. Available from: http://hdl.handle.net/11012/179512.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Šustková A. Analýza dvoudimenzionálních modelů neceločíselného řádu . [Thesis]. Brno University of Technology; 2019. Available from: http://hdl.handle.net/11012/179512

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

18. Joseph, Claire. Sur le contrôle optimal des équations de diffusion et onde fractionnaires en temps à données incomplètes : On optimal control of fractional diffusion and wave equations in time with incomplete data.

Degree: Docteur es, Mathématiques, 2017, Antilles

URL: http://www.theses.fr/2017ANTI0164

►

Dans cette thèse, nous nous intéressons a la résolution de problèmes de contrôle optimal associés a des équations de diffusion et onde fractionnaires en temps… (more)

Subjects/Keywords: Dérivée fractionnaire; Equations de diffusion et onde fractionnaires; Contrôle optimal; Fractional derivative; Fractional diffusion and wave équations; Optimal control; 515

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APA (6^th Edition):

Joseph, C. (2017). Sur le contrôle optimal des équations de diffusion et onde fractionnaires en temps à données incomplètes : On optimal control of fractional diffusion and wave equations in time with incomplete data. (Doctoral Dissertation). Antilles. Retrieved from http://www.theses.fr/2017ANTI0164

Chicago Manual of Style (16^th Edition):

Joseph, Claire. “Sur le contrôle optimal des équations de diffusion et onde fractionnaires en temps à données incomplètes : On optimal control of fractional diffusion and wave equations in time with incomplete data.” 2017. Doctoral Dissertation, Antilles. Accessed December 16, 2019. http://www.theses.fr/2017ANTI0164.

MLA Handbook (7^th Edition):

Joseph, Claire. “Sur le contrôle optimal des équations de diffusion et onde fractionnaires en temps à données incomplètes : On optimal control of fractional diffusion and wave equations in time with incomplete data.” 2017. Web. 16 Dec 2019.

Vancouver:

Joseph C. Sur le contrôle optimal des équations de diffusion et onde fractionnaires en temps à données incomplètes : On optimal control of fractional diffusion and wave equations in time with incomplete data. [Internet] [Doctoral dissertation]. Antilles; 2017. [cited 2019 Dec 16]. Available from: http://www.theses.fr/2017ANTI0164.

Council of Science Editors:

Joseph C. Sur le contrôle optimal des équations de diffusion et onde fractionnaires en temps à données incomplètes : On optimal control of fractional diffusion and wave equations in time with incomplete data. [Doctoral Dissertation]. Antilles; 2017. Available from: http://www.theses.fr/2017ANTI0164

19. C.D. Bucur. SOME NONLOCAL OPERATORS AND EFFECTS DUE TO NONLOCALITY.

Degree: 2017, Università degli Studi di Milano

URL: http://hdl.handle.net/2434/488032

► In this thesis, we deal with problems related to nonlocal operators, in particular to the fractional Laplacian and some other types of fractional derivatives. We… (more)

Subjects/Keywords: Fractional Laplacian; nonlocal operators; nonlocal minimal surfaces; fractional derivative; Caputo; Marchaud; Schauder estimates; Settore MAT/05 - Analisi Matematica

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APA (6^th Edition):

Bucur, C. (2017). SOME NONLOCAL OPERATORS AND EFFECTS DUE TO NONLOCALITY. (Thesis). Università degli Studi di Milano. Retrieved from http://hdl.handle.net/2434/488032

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Bucur, C.D.. “SOME NONLOCAL OPERATORS AND EFFECTS DUE TO NONLOCALITY.” 2017. Thesis, Università degli Studi di Milano. Accessed December 16, 2019. http://hdl.handle.net/2434/488032.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Bucur, C.D.. “SOME NONLOCAL OPERATORS AND EFFECTS DUE TO NONLOCALITY.” 2017. Web. 16 Dec 2019.

Vancouver:

Bucur C. SOME NONLOCAL OPERATORS AND EFFECTS DUE TO NONLOCALITY. [Internet] [Thesis]. Università degli Studi di Milano; 2017. [cited 2019 Dec 16]. Available from: http://hdl.handle.net/2434/488032.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Bucur C. SOME NONLOCAL OPERATORS AND EFFECTS DUE TO NONLOCALITY. [Thesis]. Università degli Studi di Milano; 2017. Available from: http://hdl.handle.net/2434/488032

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of North Texas

20. Bologna, Mauro. The Dynamic Foundation of Fractal Operators.

Degree: 2003, University of North Texas

URL: https://digital.library.unt.edu/ark:/67531/metadc4235/

► The fractal operators discussed in this dissertation are introduced in the form originally proposed in an earlier book of the candidate, which proves to be… (more)

Subjects/Keywords: Fractional calculus.; Le'vy; statistics; fractional derivative; decoherence

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APA (6^th Edition):

Bologna, M. (2003). The Dynamic Foundation of Fractal Operators. (Thesis). University of North Texas. Retrieved from https://digital.library.unt.edu/ark:/67531/metadc4235/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Bologna, Mauro. “The Dynamic Foundation of Fractal Operators.” 2003. Thesis, University of North Texas. Accessed December 16, 2019. https://digital.library.unt.edu/ark:/67531/metadc4235/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Bologna, Mauro. “The Dynamic Foundation of Fractal Operators.” 2003. Web. 16 Dec 2019.

Vancouver:

Bologna M. The Dynamic Foundation of Fractal Operators. [Internet] [Thesis]. University of North Texas; 2003. [cited 2019 Dec 16]. Available from: https://digital.library.unt.edu/ark:/67531/metadc4235/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Bologna M. The Dynamic Foundation of Fractal Operators. [Thesis]. University of North Texas; 2003. Available from: https://digital.library.unt.edu/ark:/67531/metadc4235/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

21. Zhou, H. Numerical approximation of time-fractional diﬀerential equations.

Degree: 2017, University Utrecht

URL: http://dspace.library.uu.nl/handle/1874/355280 ; URN:NBN:NL:UI:10-1874-355280 ; urn:isbn:978-90-393-6863-3 ; URN:NBN:NL:UI:10-1874-355280 ; http://dspace.library.uu.nl/handle/1874/355280

► Fractional calculus, as a generalization of ordinary calculus, has been an interesting topic since the end of the 17th century. In comparison with ordinary derivatives… (more)

Subjects/Keywords: Caputo fractional derivative; anomalous diﬀusion; fractional diﬀusion equation

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APA (6^th Edition):

Zhou, H. (2017). Numerical approximation of time-fractional diﬀerential equations. (Doctoral Dissertation). University Utrecht. Retrieved from http://dspace.library.uu.nl/handle/1874/355280 ; URN:NBN:NL:UI:10-1874-355280 ; urn:isbn:978-90-393-6863-3 ; URN:NBN:NL:UI:10-1874-355280 ; http://dspace.library.uu.nl/handle/1874/355280

Chicago Manual of Style (16^th Edition):

Zhou, H. “Numerical approximation of time-fractional diﬀerential equations.” 2017. Doctoral Dissertation, University Utrecht. Accessed December 16, 2019. http://dspace.library.uu.nl/handle/1874/355280 ; URN:NBN:NL:UI:10-1874-355280 ; urn:isbn:978-90-393-6863-3 ; URN:NBN:NL:UI:10-1874-355280 ; http://dspace.library.uu.nl/handle/1874/355280.

MLA Handbook (7^th Edition):

Zhou, H. “Numerical approximation of time-fractional diﬀerential equations.” 2017. Web. 16 Dec 2019.

Vancouver:

Zhou H. Numerical approximation of time-fractional diﬀerential equations. [Internet] [Doctoral dissertation]. University Utrecht; 2017. [cited 2019 Dec 16]. Available from: http://dspace.library.uu.nl/handle/1874/355280 ; URN:NBN:NL:UI:10-1874-355280 ; urn:isbn:978-90-393-6863-3 ; URN:NBN:NL:UI:10-1874-355280 ; http://dspace.library.uu.nl/handle/1874/355280.

Council of Science Editors:

Zhou H. Numerical approximation of time-fractional diﬀerential equations. [Doctoral Dissertation]. University Utrecht; 2017. Available from: http://dspace.library.uu.nl/handle/1874/355280 ; URN:NBN:NL:UI:10-1874-355280 ; urn:isbn:978-90-393-6863-3 ; URN:NBN:NL:UI:10-1874-355280 ; http://dspace.library.uu.nl/handle/1874/355280

University of South Africa

22. Mugisha, Stella. Applied mathematical modelling with new parameters and applications to some real life problems.

Degree: 2018, University of South Africa

URL: http://hdl.handle.net/10500/24973

► Some Epidemic models with fractional derivatives were proved to be well-defined, well-posed and more accurate [34, 51, 116], compared to models with the conventional derivative.… (more)

▼ Some Epidemic models with fractional derivatives were proved to be well-defined, well-posed and more accurate [34, 51, 116], compared to models with the conventional derivative. An Ebola epidemic model with non-linear transmission is fully analyzed. The model is expressed with the conventional time derivative with a new parameter included, which happens to be fractional (that derivative is called the 􀀀derivative). We proved that the model is well-de ned and well-posed. Moreover, conditions for boundedness and dissipativity of the trajectories are established. Exploiting the generalized Routh-Hurwitz Criteria, existence and stability analysis of equilibrium points for the Ebola model are performed to show that they are strongly dependent on the non-linear transmission. In particular, conditions for existence and stability of a unique endemic equilibrium to the Ebola system are given. Numerical simulations are provided for particular expressions of the non-linear transmission, with model's parameters taking di erent values. The resulting simulations are in concordance with the usual threshold behavior. The results obtained here may be signi cant for the ght and prevention against Ebola haemorrhagic fever that has so far exterminated hundreds of families and is still a ecting many people in West-Africa and other parts of the world. The full comprehension and handling of the phenomenon of shattering, sometime happening during the process of polymer chain degradation [129, 142], remains unsolved when using the traditional evolution equations describing the degradation. This traditional model has been proved to be very hard to handle as it involves evolution of two intertwined quantities. Moreover, the explicit form of its solution is, in general, impossible to obtain. We explore the possibility of generalizing evolution equation modeling the polymer chain degradation and analyze the model with the conventional time derivative with a new parameter. We consider the general case where the breakup rate depends on the size of the chain breaking up. In the process, the alternative version of Sumudu integral transform is used to provide an explicit form of the general solution representing the evolution of polymer sizes distribution. In particular, we show that this evolution exhibits existence of complex periodic properties due to the presence of cosine and sine functions governing the solutions. Numerical simulations are performed for some particular cases and prove that the system describing the polymer chain degradation contains complex and simple harmonic poles whose e ects are given by these functions or a combination of them. This result may be crucial in the ongoing research to better handle and explain the phenomenon of shattering. Lastly, it has become a conjecture that power series like Mittag-Le er functions and their variants naturally govern solutions to most of generalized fractional evolution models such as kinetic, di usion or relaxation equations. The question is to say whether or not… Advisors/Committee Members: Doungmo Goufo, Emile Franc (advisor).

Subjects/Keywords: Conventional derivative with a new parameter; Ebola epidemic model; Non-linear incidence; Existence; Stability; Depolymerization; Replicated Fractional poles; Simple and complex harmonic motion; Shattering; Generalized evolution models; Exponential with a parameter; Sumudu transform; Mittag-Leffler functions

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Mugisha, S. (2018). Applied mathematical modelling with new parameters and applications to some real life problems. (Doctoral Dissertation). University of South Africa. Retrieved from http://hdl.handle.net/10500/24973

Chicago Manual of Style (16^th Edition):

Mugisha, Stella. “Applied mathematical modelling with new parameters and applications to some real life problems.” 2018. Doctoral Dissertation, University of South Africa. Accessed December 16, 2019. http://hdl.handle.net/10500/24973.

MLA Handbook (7^th Edition):

Mugisha, Stella. “Applied mathematical modelling with new parameters and applications to some real life problems.” 2018. Web. 16 Dec 2019.

Vancouver:

Mugisha S. Applied mathematical modelling with new parameters and applications to some real life problems. [Internet] [Doctoral dissertation]. University of South Africa; 2018. [cited 2019 Dec 16]. Available from: http://hdl.handle.net/10500/24973.

Council of Science Editors:

Mugisha S. Applied mathematical modelling with new parameters and applications to some real life problems. [Doctoral Dissertation]. University of South Africa; 2018. Available from: http://hdl.handle.net/10500/24973

23. Benedetti, D. Quantum gravity from simplices: analytical investigations of causal dynamical triangulations.

Degree: 2007, University Utrecht

URL: http://dspace.library.uu.nl/handle/1874/21745 ; URN:NBN:NL:UI:10-1874-21745 ; URN:NBN:NL:UI:10-1874-21745 ; http://dspace.library.uu.nl/handle/1874/21745

► A potentially powerful approach to quantum gravity has been developed over the last few years under the name of Causal Dynamical Triangulations. Although these models… (more)

▼ A potentially powerful approach to quantum gravity has been developed over the last few years under the name of Causal Dynamical Triangulations. Although these models can be solved exactly in a variety of ways in the case of pure gravity in (1+1) dimensions,it is difficult to extend any of the analytical treatments to the case of higher dimensions and/or to that of matter coupling. The aim of this thesis is to try to take a small step beyond this impasse. After reviewing in Chapter 1 the methods and the results of causal dynamical triangulations, we proceed in the next two chapters to illustrate in detail two original pieces of work which both represent a small step away from the special case of pure gravity in two dimensions. In Chapter 2 we tackle the problem of coupling matter to causal dynamical triangulations in two dimensions. To fix a starting point we choose one of the simplest, and certainly the most notorious, matter fields on a lattice, the Ising model.We show how an old method of investigation for spin systems on a lattice, the high- and low-temperature expansion, can be applied on the dynamical lattice represented by the triangulation. The application is not trivial as it requires an ensemble average over the lattices for the graphs appearing in the expansion, but we will develop a scheme that allows the computation of such averages. The method is quite general and can in principle be used for other kinds of matter models. The work presented in Chapter 3 goes into the realm of higher dimensions. We introduce a particular model of three-dimensional causal dynamical triangulations and show that it can be solved in an asymptotic limit and a continuum quantum Hamiltonian is found. This is an important step in the understanding of these kinds of models, because this is the first case in which, for a dimension larger than two, a continuum limit has been obtained analytically, although many things remain to be understood and some approximations still removed. Together, the works presented in Chapter 2 and 3 constitute an advance in the analytical understanding of causal dynamical triangulations and have the appealing feature of indicating directions for further development.

Subjects/Keywords: quantum gravity; causal dynamical triangulations; Ising model; random lattices; graph expansion; heap of pieces; replica method; fractional derivative

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Benedetti, D. (2007). Quantum gravity from simplices: analytical investigations of causal dynamical triangulations. (Doctoral Dissertation). University Utrecht. Retrieved from http://dspace.library.uu.nl/handle/1874/21745 ; URN:NBN:NL:UI:10-1874-21745 ; URN:NBN:NL:UI:10-1874-21745 ; http://dspace.library.uu.nl/handle/1874/21745

Chicago Manual of Style (16^th Edition):

Benedetti, D. “Quantum gravity from simplices: analytical investigations of causal dynamical triangulations.” 2007. Doctoral Dissertation, University Utrecht. Accessed December 16, 2019. http://dspace.library.uu.nl/handle/1874/21745 ; URN:NBN:NL:UI:10-1874-21745 ; URN:NBN:NL:UI:10-1874-21745 ; http://dspace.library.uu.nl/handle/1874/21745.

MLA Handbook (7^th Edition):

Benedetti, D. “Quantum gravity from simplices: analytical investigations of causal dynamical triangulations.” 2007. Web. 16 Dec 2019.

Vancouver:

Benedetti D. Quantum gravity from simplices: analytical investigations of causal dynamical triangulations. [Internet] [Doctoral dissertation]. University Utrecht; 2007. [cited 2019 Dec 16]. Available from: http://dspace.library.uu.nl/handle/1874/21745 ; URN:NBN:NL:UI:10-1874-21745 ; URN:NBN:NL:UI:10-1874-21745 ; http://dspace.library.uu.nl/handle/1874/21745.

Council of Science Editors:

Benedetti D. Quantum gravity from simplices: analytical investigations of causal dynamical triangulations. [Doctoral Dissertation]. University Utrecht; 2007. Available from: http://dspace.library.uu.nl/handle/1874/21745 ; URN:NBN:NL:UI:10-1874-21745 ; URN:NBN:NL:UI:10-1874-21745 ; http://dspace.library.uu.nl/handle/1874/21745

Univerzitet u Beogradu

24. Hodžić, Sandra G., 1987-. Диференцијске схеме за решавање једначине субдифузије.

Degree: Matematički fakultet, 2016, Univerzitet u Beogradu

URL: https://fedorabg.bg.ac.rs/fedora/get/o:12204/bdef:Content/get

►

Matematika - Numeriqka matematika / Mathematics - Numerical mathematics

У последње време порасло је интересовање за моделирањем физичких и хемијских процеса једначинама у којима се… (more)

▼

Matematika - Numeriqka matematika / Mathematics - Numerical mathematics

У последње време порасло је интересовање за моделирањем физичких и хемијских процеса једначинама у којима се појављују изводи и интеграли разломљеног реда. Једна таква једначина је једначина субдифузије која се добија из дифузионе једначине заменом класичног извода по временској променљивој изводом реда а; где је 0 < а < 1: Предмет ове дисертације јесте почетно-гранични проблем за једначину субдифузије и његова апроксимација коначним разликама. Најпре је разматран једнодимензиони проблем. Показана је егзистенција и јединственост слабог реxења. Доказана је стабилност и изведена оцена брзина конвергенције имплицитне и схеме са тежином. Посебна пажња је посвећена дводимензионом проблему субдифузије, како са Лапласовим, тако и општим диференцијалним оператором другог реда. Претпоставка је да његови коефицијенти задовољавају стандардне услове елиптичности што гарантује постојање реxеша у одговарајућим просторима типа Собољева. У том случају су, поред горе поменутих, постављене још и адитивна и факторизована схема. Испитана је њихова стабилност као и брзина конвергенције у зависности од глаткости улазних података и генералисаног решења.

Advisors/Committee Members: Jovanović, Boško, 1946-.

Subjects/Keywords: subdiffusion equation; fractional derivative; finite differences; difference scheme; a priori estimate; stability; convergence rate

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Hodžić, Sandra G., 1. (2016). Диференцијске схеме за решавање једначине субдифузије. (Thesis). Univerzitet u Beogradu. Retrieved from https://fedorabg.bg.ac.rs/fedora/get/o:12204/bdef:Content/get

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Hodžić, Sandra G., 1987-. “Диференцијске схеме за решавање једначине субдифузије.” 2016. Thesis, Univerzitet u Beogradu. Accessed December 16, 2019. https://fedorabg.bg.ac.rs/fedora/get/o:12204/bdef:Content/get.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Hodžić, Sandra G., 1987-. “Диференцијске схеме за решавање једначине субдифузије.” 2016. Web. 16 Dec 2019.

Vancouver:

Hodžić, Sandra G. 1. Диференцијске схеме за решавање једначине субдифузије. [Internet] [Thesis]. Univerzitet u Beogradu; 2016. [cited 2019 Dec 16]. Available from: https://fedorabg.bg.ac.rs/fedora/get/o:12204/bdef:Content/get.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Hodžić, Sandra G. 1. Диференцијске схеме за решавање једначине субдифузије. [Thesis]. Univerzitet u Beogradu; 2016. Available from: https://fedorabg.bg.ac.rs/fedora/get/o:12204/bdef:Content/get

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

25. Malaikah, Honaida Muhammed S. Stochastic volatility Models and Mempry Effect.

Degree: 2011, University of Manchester

URL: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:124348

See the thesis page 8 Advisors/Committee Members: Fedotov, Sergei.

Subjects/Keywords: stochastic volatiltiy; fractional derivative; CTRW

…we get fractional time-space model. We propose to use these models for volatility. In… …leads to fractional derivative, which is given in detail in the last section of chapter two… …models to model the volatility. To nd these models, we introduce the theory of conditional… …probability density function (PDF). In the case of non-Markovian we get fractional-time… …model. As examples, we nd the master equations of the counting process corresponding to…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Malaikah, H. M. S. (2011). Stochastic volatility Models and Mempry Effect. (Doctoral Dissertation). University of Manchester. Retrieved from http://www.manchester.ac.uk/escholar/uk-ac-man-scw:124348

Chicago Manual of Style (16^th Edition):

Malaikah, Honaida Muhammed S. “Stochastic volatility Models and Mempry Effect.” 2011. Doctoral Dissertation, University of Manchester. Accessed December 16, 2019. http://www.manchester.ac.uk/escholar/uk-ac-man-scw:124348.

MLA Handbook (7^th Edition):

Malaikah, Honaida Muhammed S. “Stochastic volatility Models and Mempry Effect.” 2011. Web. 16 Dec 2019.

Vancouver:

Malaikah HMS. Stochastic volatility Models and Mempry Effect. [Internet] [Doctoral dissertation]. University of Manchester; 2011. [cited 2019 Dec 16]. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:124348.

Council of Science Editors:

Malaikah HMS. Stochastic volatility Models and Mempry Effect. [Doctoral Dissertation]. University of Manchester; 2011. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:124348

University of Manchester

26. Malaikah, Honaida Muhammed S. Stochastic volatility models and memory effect.

Degree: PhD, 2011, University of Manchester

URL: https://www.research.manchester.ac.uk/portal/en/theses/stochastic-volatility-models-and-mempry-effect(424f6c71-a0e7-44ba-afbb-cc5f74ae075c).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.548676

Subjects/Keywords: 519.2; stochastic volatiltiy, fractional derivative, CTRW

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Malaikah, H. M. S. (2011). Stochastic volatility models and memory effect. (Doctoral Dissertation). University of Manchester. Retrieved from https://www.research.manchester.ac.uk/portal/en/theses/stochastic-volatility-models-and-mempry-effect(424f6c71-a0e7-44ba-afbb-cc5f74ae075c).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.548676

Chicago Manual of Style (16^th Edition):

Malaikah, Honaida Muhammed S. “Stochastic volatility models and memory effect.” 2011. Doctoral Dissertation, University of Manchester. Accessed December 16, 2019. https://www.research.manchester.ac.uk/portal/en/theses/stochastic-volatility-models-and-mempry-effect(424f6c71-a0e7-44ba-afbb-cc5f74ae075c).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.548676.

MLA Handbook (7^th Edition):

Malaikah, Honaida Muhammed S. “Stochastic volatility models and memory effect.” 2011. Web. 16 Dec 2019.

Vancouver:

Malaikah HMS. Stochastic volatility models and memory effect. [Internet] [Doctoral dissertation]. University of Manchester; 2011. [cited 2019 Dec 16]. Available from: https://www.research.manchester.ac.uk/portal/en/theses/stochastic-volatility-models-and-mempry-effect(424f6c71-a0e7-44ba-afbb-cc5f74ae075c).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.548676.

Council of Science Editors:

Malaikah HMS. Stochastic volatility models and memory effect. [Doctoral Dissertation]. University of Manchester; 2011. Available from: https://www.research.manchester.ac.uk/portal/en/theses/stochastic-volatility-models-and-mempry-effect(424f6c71-a0e7-44ba-afbb-cc5f74ae075c).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.548676

Brno University of Technology

27. Panko, Martin. Tlumení tlakových pulsací v pružných potrubích .

Degree: 2008, Brno University of Technology

URL: http://hdl.handle.net/11012/15973

► Tato diplomová práce se zabývá numerickým modelováním tlakových pulsací v pružných potrubích. V práci je odvozena rovnice kontinuity tekutiny v pružné trubici s uvažováním tlumení… (more)

Subjects/Keywords: FTCS; Lax-Friedrichs; Lax-Wendroff; pulsace; tlak; pružné potrubí; tlumení; rovnice kontinuity; Voigtův (Kelvinův) model; rychlost zvuku; materiálové konstanty; FTCS; Lax- Friedrichs; Lax-Wendroff; pulsation; pressure; elastic pipe; damping; continuity relation; Voigt (Kelvin) model; speed of sound; elastic constants

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Panko, M. (2008). Tlumení tlakových pulsací v pružných potrubích . (Thesis). Brno University of Technology. Retrieved from http://hdl.handle.net/11012/15973

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Panko, Martin. “Tlumení tlakových pulsací v pružných potrubích .” 2008. Thesis, Brno University of Technology. Accessed December 16, 2019. http://hdl.handle.net/11012/15973.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Panko, Martin. “Tlumení tlakových pulsací v pružných potrubích .” 2008. Web. 16 Dec 2019.

Vancouver:

Panko M. Tlumení tlakových pulsací v pružných potrubích . [Internet] [Thesis]. Brno University of Technology; 2008. [cited 2019 Dec 16]. Available from: http://hdl.handle.net/11012/15973.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Panko M. Tlumení tlakových pulsací v pružných potrubích . [Thesis]. Brno University of Technology; 2008. Available from: http://hdl.handle.net/11012/15973

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Akron

28. Bode, Yamini. Vibration analysis of coupled coaxial carbon nanotube with damping in the presence of graphene sheet.

Degree: MSin Engineering, Mechanical Engineering, 2018, University of Akron

URL: http://rave.ohiolink.edu/etdc/view?acc_num=akron1533846556736521

► Nanostructured materials with superior physical properties hold promise for the development of novel nanodevices. Full potential applications of such advanced materials require study of vibrational… (more)

▼ Nanostructured materials with superior physical properties hold promise for the development of novel nanodevices. Full potential applications of such advanced materials require study of vibrational analysis to reduce equipment downtime and maintenance cost of the unit by detecting the experimental faults when applied in industries, in general, it is a study concerning the system under oscillatory motion about a stable equilibrium position focusing on the analysis not the design of the systems. Which in turn necessitates the development of computer-based simulations along with novel experimental techniques. Since controlled experiments are difficult for nanoscale materials and atomic studies are computationally expensive, continuum mechanics-based simulations of nanomaterials and nanostructures have become the focal points of computational nanoscience and materials modeling.In this thesis, the free and forced vibrations of coupled coaxial carbon nanotube in the vicinity of graphene sheet using Euler Bernoulli beam model for free-free end conditions are studied. The multiwalled carbon nanotube can be studied by considering each of the nested nanotubes to be a Euler Bernoulli beam and coupled through the Van der Waals forces. Damping is also considered and modeled using a Kelvin-Voigt damping model. Using the estimated Van der Waals interaction energy potential using Lennard-Jones potential expressed as a function of interlayer spacing. Equilibrium distance affects the natural frequencies of the system and is calculated in the thesis.To study the forced response of coupled co-axial nanotube with damping a modal analysis is performed assuming graphene has a harmonic excitation. There is a necessity to develop a solution method to determine the response of a system for all times and even after the excitation is removed. Many excitations change form at the discrete time, so it is convenient to determine a unified mathematical form of response. In this Thesis, the solution is determined using the convolution integral as it provides a most general closed form of the solution also it only requires an evaluation of integral and is easy to apply. The forcing function is assumed as a function of distance along nanotube and time. Advisors/Committee Members: Kelly, Graham (Advisor).

Subjects/Keywords: Automotive Materials; Chemistry; Design; Engineering; Mechanical Engineering; Mechanics; Molecular Chemistry; Nanoscience; Nanotechnology; Engineering, Mechanical Engineering, Vibration analysis, Carbon nanotubes, a Graphene sheet, Van der Waals, Free and Forced vibrations, damping, continuum mechanics modeling, Nanomaterial, Kelvin Voigt damping, Euler Bernoulli beam

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Bode, Y. (2018). Vibration analysis of coupled coaxial carbon nanotube with damping in the presence of graphene sheet. (Masters Thesis). University of Akron. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=akron1533846556736521

Chicago Manual of Style (16^th Edition):

Bode, Yamini. “Vibration analysis of coupled coaxial carbon nanotube with damping in the presence of graphene sheet.” 2018. Masters Thesis, University of Akron. Accessed December 16, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=akron1533846556736521.

MLA Handbook (7^th Edition):

Bode, Yamini. “Vibration analysis of coupled coaxial carbon nanotube with damping in the presence of graphene sheet.” 2018. Web. 16 Dec 2019.

Vancouver:

Bode Y. Vibration analysis of coupled coaxial carbon nanotube with damping in the presence of graphene sheet. [Internet] [Masters thesis]. University of Akron; 2018. [cited 2019 Dec 16]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=akron1533846556736521.

Council of Science Editors:

Bode Y. Vibration analysis of coupled coaxial carbon nanotube with damping in the presence of graphene sheet. [Masters Thesis]. University of Akron; 2018. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=akron1533846556736521

Texas A&M University

29. Yang, Cheng-Kang. Deformation Processes of Metallic Open-Cell Foam Supported Sheet Metals.

Degree: PhD, Mechanical Engineering, 2016, Texas A&M University

URL: http://hdl.handle.net/1969.1/159081

► Sandwich panel has been widely applied to enhance the stiffness to weight performance of components in many industries. The manufacturing procedure of curved metal sandwich… (more)

▼ Sandwich panel has been widely applied to enhance the stiffness to weight performance of components in many industries. The manufacturing procedure of curved metal sandwich panels typically consists of forming the sheet and core material into prescribed shapes and applying the adhesive to bond the material in shaped molds. An alternative manufacturing method is to apply the conventional sheet metal forming technique to deform the flat sandwich panel into a curved panel. However, the face sheet will significantly limit the formability of the sandwich panel. To solve the problem, one face sheet was removed in the sandwich panel to increase the formability, then the metal sheet and the metallic open-cell foam were selected as the face sheet and the core material to form the metallic open-cell foam supported sheet metals. The main objective of this study is to develop a proper forming method to deform the metallic open-cell foam supported sheet metal without failure occurring. Two forming processes, press brake bending and hydroforming, which can reduce the contact stress to avoid the structure damage were investigated. Experiments were designed to understand the possible failure modes and the failure mechanism. Through the parametric study in the experimental results, the effects of material dimensions, material properties, and test parameters were analyzed to establish a failure criterion. In addition, a finite element analysis with a proper foam model was implemented to further inspect the failure mechanism and develop a guideline for the selection of materials and test parameters. For the press brake bending process, the experiment results have shown that the supported sheet metal can be successfully bent into a curved panel within small thickness reduction. The prediction in both geometric hoop strain failure criterion and shear strain failure in the finite element analysis were matched and agreed with the experimental result. For the hydroforming process, the experimental result indicated that the major failure mode is the adhesive failure. The early adhesive failure at the perimeter of the attached foam disc caused the open-cell foam to separate from the sheet metal. The required adhesive strength to the attainable dome height relationship was given by finite element analysis. Advisors/Committee Members: Wang, Jyhwen (advisor), Muliana, Anatasia (committee member), Karaman, Ibrahim (committee member), Talreja, Ramesh (committee member).

Subjects/Keywords: open-cell foam; Kelvin cell model; press brake bending; hydroforming

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Yang, C. (2016). Deformation Processes of Metallic Open-Cell Foam Supported Sheet Metals. (Doctoral Dissertation). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/159081

Chicago Manual of Style (16^th Edition):

Yang, Cheng-Kang. “Deformation Processes of Metallic Open-Cell Foam Supported Sheet Metals.” 2016. Doctoral Dissertation, Texas A&M University. Accessed December 16, 2019. http://hdl.handle.net/1969.1/159081.

MLA Handbook (7^th Edition):

Yang, Cheng-Kang. “Deformation Processes of Metallic Open-Cell Foam Supported Sheet Metals.” 2016. Web. 16 Dec 2019.

Vancouver:

Yang C. Deformation Processes of Metallic Open-Cell Foam Supported Sheet Metals. [Internet] [Doctoral dissertation]. Texas A&M University; 2016. [cited 2019 Dec 16]. Available from: http://hdl.handle.net/1969.1/159081.

Council of Science Editors:

Yang C. Deformation Processes of Metallic Open-Cell Foam Supported Sheet Metals. [Doctoral Dissertation]. Texas A&M University; 2016. Available from: http://hdl.handle.net/1969.1/159081

University of Washington

30. Conrick, Robert John Cuson. An Evaluation of Simulated Microphysics over Terrain during the OLYMPEX Field Campaign.

Degree: 2018, University of Washington

URL: http://hdl.handle.net/1773/42194

► The OLYMPEX field campaign of winter 2015-2016 offers the opportunity to assess the performance of model physics over a coastal mountain range. This thesis explores… (more)

▼ The OLYMPEX field campaign of winter 2015-2016 offers the opportunity to assess the performance of model physics over a coastal mountain range. This thesis explores precipitation and microphysics simulations, and investigates the ability of full-physics simulations from the Weather Research and Forecasting Model (WRF) to simulate Kelvin-Helmholtz waves. First, moist physics is assessed from the perspective of precipitation for a variety of microphysics and planetary boundary parameterizations. Over the period from November 2015 to February 2016, WRF and the 13-km NOAA/NWS GFS model precipitation accumulation was underpredicted over the windward (western) side and crests of the Olympic Mountains. Underprediction was greatest where observed precipitation was largest. Two major atmospheric river type events (November 12-15, November 16-19) were examined in detail using a variety of physics choices. Improved simulation skill was generally limited to increasing resolution from 36 to 12-km, with substantial variability among microphysics and PBL choices. For the two cases noted above, warm-period precipitation maxima occurred farther up the valley than observed, with a tendency for underprediction. Differences in simulated microphysics are also examined, with results indicating the tendency of WRF to produce rain particles that are larger and less numerous than observations. Next, two Kelvin-Helmholtz wave (KH; December 12th and December 17th) events were simulated to further evaluate model physics at short spatial and temporal scales. Waves were realistically simulated at 444-m grid spacing, including reproducing the location and structure of waves. Waves were shown to be resolution-dependent and only adequately represented at 444-m grid spacing due to their 3-5 km wavelengths. In both cases, waves developed as the result of an intense shear layer, caused by low-level easterly flow. The Olympic Mountains enhanced wave amplitudes, and removing the Olympic Mountains eliminated wave activity in the December 12th case. When waves were within the melting level (December 12th), simulated microphysical fields experienced considerable oscillatory behavior; when waves were below the melting level (December 17th), the microphysical response was attenuated. Turning off moist physics and latent heating resulted in weaker KH waves, while varying physics choices resulted in variability in the amount of hydrometeors produced and the strength of the waves’ vertical velocities. Advisors/Committee Members: Mass, Clifford F (advisor).

Subjects/Keywords: Kelvin-Helmholtz; microphysics; model evaluation; precipitation; WRF; Atmospheric sciences; Atmospheric sciences

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Conrick, R. J. C. (2018). An Evaluation of Simulated Microphysics over Terrain during the OLYMPEX Field Campaign. (Thesis). University of Washington. Retrieved from http://hdl.handle.net/1773/42194

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Conrick, Robert John Cuson. “An Evaluation of Simulated Microphysics over Terrain during the OLYMPEX Field Campaign.” 2018. Thesis, University of Washington. Accessed December 16, 2019. http://hdl.handle.net/1773/42194.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Conrick, Robert John Cuson. “An Evaluation of Simulated Microphysics over Terrain during the OLYMPEX Field Campaign.” 2018. Web. 16 Dec 2019.

Vancouver:

Conrick RJC. An Evaluation of Simulated Microphysics over Terrain during the OLYMPEX Field Campaign. [Internet] [Thesis]. University of Washington; 2018. [cited 2019 Dec 16]. Available from: http://hdl.handle.net/1773/42194.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Conrick RJC. An Evaluation of Simulated Microphysics over Terrain during the OLYMPEX Field Campaign. [Thesis]. University of Washington; 2018. Available from: http://hdl.handle.net/1773/42194

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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Open Access Theses and Dissertations