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You searched for +publisher:"Georgia Tech" +contributor:("Frostig, Yeoshua"). Showing records 1 – 2 of 2 total matches.

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Georgia Tech

1. Yuan, Zhangxian. Geometric nonlinearity effects on the behavior of sandwich structures.

Degree: PhD, Aerospace Engineering, 2017, Georgia Tech

The Extended High-order Sandwich Panel Theory (EHSAPT) accounts for the axial rigidity, the transverse compressibility, and the shear effect of the core. Thus, it is suitable for sandwich composites made of a wide range of core materials, including soft cores and stiff cores. However, its analytical solution is only available to particular cases, i.e., sandwich panels with simply supported edges and subjected to sinusoidally distributed transverse loads. To obtain its solutions under general boundary conditions and loadings, a special finite element is first proposed to implement the EHSAPT with the finite element method. The proposed method extends the application of the EHSAPT and can easily handle arbitrary combinations of boundary conditions and loadings. Small deformation and infinitesimal strain were considered in the EHSAPT. In this dissertation, the EHSAPT is further developed to include geometric nonlinearities. Both faces and core are considered undergoing large deformation and moderate rotation. The weak form nonlinear governing equations of static behavior are derived from the principle of minimum total potential energy, and the equations of motion for dynamic response are derived from Hamilton's principle. The geometric nonlinearity effects on both static behavior and dynamic response of sandwich structures are investigated. In the literature, there are various simplifying assumptions adopted in the kinematic relations of the faces and the core when considering the geometric nonlinearities in sandwich structures. It is common that only one nonlinear term that appears in faces is included, and the core nonlinearities are neglected. A critical assessment of these assumptions, as well as the effects of including the other nonlinear terms in the faces and the core is made. It shows that the geometric nonlinearities of the core have significant effects on the behavior of sandwich structures. The stability behavior is very important to sandwich structures. The compressive strength of the thin faces and the overall behavior of sandwich structure can be realized only if it is stabilized against buckling. As a compound structure, a sandwich structure has more complicated stability behavior than an ordinary beam. The compressibility of the core significantly affects the stability response and contributes to the local instability phenomenon. Therefore, despite the global buckling (Euler buckling), very common in ordinary beams and plates, wrinkling, characterized as short-wave buckling, may also occur in sandwich structures. The stability investigation of sandwich structures is carried out based on the derived weak form nonlinear governing equations. The buckling analysis, which determines the buckling mode shape and critical buckling load at a convenient manner, and the nonlinear post-buckling analysis, which evaluates the post-buckling response of sandwich structures, are both presented. Both wrinkling and global buckling are observed. It is shown that although the axial rigidity of the core usually is… Advisors/Committee Members: Kardomateas, George A. (advisor), Hodges, Dewey H. (committee member), Ruzzene, Massimo (committee member), Rimoli, Julian J. (committee member), Frostig, Yeoshua (committee member).

Subjects/Keywords: Sandwich structures; Geometric nonlinearity; High-order theory; Dynamic; Stability; Post-buckling

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

APA (6th Edition):

Yuan, Z. (2017). Geometric nonlinearity effects on the behavior of sandwich structures. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/59271

Chicago Manual of Style (16th Edition):

Yuan, Zhangxian. “Geometric nonlinearity effects on the behavior of sandwich structures.” 2017. Doctoral Dissertation, Georgia Tech. Accessed December 16, 2019. http://hdl.handle.net/1853/59271.

MLA Handbook (7th Edition):

Yuan, Zhangxian. “Geometric nonlinearity effects on the behavior of sandwich structures.” 2017. Web. 16 Dec 2019.

Vancouver:

Yuan Z. Geometric nonlinearity effects on the behavior of sandwich structures. [Internet] [Doctoral dissertation]. Georgia Tech; 2017. [cited 2019 Dec 16]. Available from: http://hdl.handle.net/1853/59271.

Council of Science Editors:

Yuan Z. Geometric nonlinearity effects on the behavior of sandwich structures. [Doctoral Dissertation]. Georgia Tech; 2017. Available from: http://hdl.handle.net/1853/59271

2. Phan, Catherine Ninh. The extended high-order sandwich panel theory.

Degree: PhD, Aerospace Engineering, 2012, Georgia Tech

A new high order theory, referred to as the Extended High-Order Sandwich Panel Theory (EHSAPT), was formulated for orthotropic sandwich beams/wide panels with a general layout. This new theory accounts for the axial, transverse normal, and shear rigidity of the core. Validation of the present theory was performed for several structural analysis problems including: static loading, static instability (global buckling and wrinkling), free vibrations (natural frequencies), and dynamic loading (blast and impact). The accuracy of the theory was assessed by comparison with elasticity solutions and with experiment. It is shown that this new theory has superior accuracy over other available computational models, especially for sandwich beams/wide panel configurations with stiffer cores. Advisors/Committee Members: Kardomateas, George A. (Committee Chair), Frostig, Yeoshua (Committee Co-Chair), Birman, Victor (Committee Member), Hodges, Dewey H. (Committee Member), Massimo, Ruzzene (Committee Member).

Subjects/Keywords: Sandwich composites; High-order theory; Sandwich construction; Sandwich construction Vibration

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Record DetailsSimilar RecordsGoogle PlusoneFacebookTwitterCiteULikeMendeleyreddit

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

APA (6th Edition):

Phan, C. N. (2012). The extended high-order sandwich panel theory. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/43578

Chicago Manual of Style (16th Edition):

Phan, Catherine Ninh. “The extended high-order sandwich panel theory.” 2012. Doctoral Dissertation, Georgia Tech. Accessed December 16, 2019. http://hdl.handle.net/1853/43578.

MLA Handbook (7th Edition):

Phan, Catherine Ninh. “The extended high-order sandwich panel theory.” 2012. Web. 16 Dec 2019.

Vancouver:

Phan CN. The extended high-order sandwich panel theory. [Internet] [Doctoral dissertation]. Georgia Tech; 2012. [cited 2019 Dec 16]. Available from: http://hdl.handle.net/1853/43578.

Council of Science Editors:

Phan CN. The extended high-order sandwich panel theory. [Doctoral Dissertation]. Georgia Tech; 2012. Available from: http://hdl.handle.net/1853/43578

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