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You searched for subject:(Periodic forcing). Showing records 1 – 2 of 2 total matches.

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Clemson University

1. Fedonyuk, Vitaliy. Dynamics and Control of Nonholonomic Systems with Internal Degrees of Freedom.

Degree: PhD, Mechanical Engineering, 2020, Clemson University

Nonholonomic systems model many robots as well as animals and other systems. Although such systems have been studied extensively over the last century, much work still remains to be done on their dynamics and control. Many techniques have been developed for controlling kinematic nonholonomic systems or simplified dynamic versions, however control of high dimensional, underactuated nonholonomic systems remains to be addressed. This dissertation helps fill this gap by developing a control algorithm that can be applied to systems with three or more configuration variables and just one input. We also analyze the dynamic effects of passive degrees of freedom and elastic potentials which are commonly observed in such systems showing that the addition of a passive degree of freedom can even be used to improve the locomotion characteristics of a system. Such elastic potentials can be present due to compliant mechanisms or origami, both of which can exhibit bistability and many other properties that can be useful in the design of robots. Advisors/Committee Members: Phanindra Tallapragada, Suyi Li, Ardalan Vahidi, Martin Schmoll.

Subjects/Keywords: compliance; internal degrees of freedom; mechanics; nonholonomic systems; periodic forcing

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APA (6th Edition):

Fedonyuk, V. (2020). Dynamics and Control of Nonholonomic Systems with Internal Degrees of Freedom. (Doctoral Dissertation). Clemson University. Retrieved from https://tigerprints.clemson.edu/all_dissertations/2645

Chicago Manual of Style (16th Edition):

Fedonyuk, Vitaliy. “Dynamics and Control of Nonholonomic Systems with Internal Degrees of Freedom.” 2020. Doctoral Dissertation, Clemson University. Accessed September 28, 2020. https://tigerprints.clemson.edu/all_dissertations/2645.

MLA Handbook (7th Edition):

Fedonyuk, Vitaliy. “Dynamics and Control of Nonholonomic Systems with Internal Degrees of Freedom.” 2020. Web. 28 Sep 2020.

Vancouver:

Fedonyuk V. Dynamics and Control of Nonholonomic Systems with Internal Degrees of Freedom. [Internet] [Doctoral dissertation]. Clemson University; 2020. [cited 2020 Sep 28]. Available from: https://tigerprints.clemson.edu/all_dissertations/2645.

Council of Science Editors:

Fedonyuk V. Dynamics and Control of Nonholonomic Systems with Internal Degrees of Freedom. [Doctoral Dissertation]. Clemson University; 2020. Available from: https://tigerprints.clemson.edu/all_dissertations/2645


The Ohio State University

2. Zhang, Yanyan. Periodic Forcing of a System near a Hopf Bifurcation Point.

Degree: PhD, Mathematics, 2010, The Ohio State University

We study a periodically forced system of ODEs near a point of Hopf bifurcation, where the forcing is pure harmonic with small amplitude. We assume that the ratio of the Hopf frequency of the ODE system and the forcing frequency is close to k/l where k and l are coprime. We look for all small periodic solutions of the forced system as the forcing frequency varies. In other words, we examine the influence of the forcing frequency on the number of periodic solutions to the forced system. This problem is complicated because of the existence of three small parameters: the amplitude of the forcing, the deviation of the bifurcation parameter from the point of Hopf bifurcation, and the deviation of the ratio of the Hopf and forcing frequencies from a rational number. Our results are presented in terms of bifurcation diagrams of amplitude of periodic solutions versus the forcing parameter for fixed forcing amplitude and Hopf parameter. Advisors/Committee Members: Golubitsky, Martin (Advisor).

Subjects/Keywords: Mathematics; Hopf bifurcation; Periodic forcing; S1 symmetry; Liapunov-Schmidt reduction; Normal Form; Universal unfolding; Singularity theory; Transition set

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

APA (6th Edition):

Zhang, Y. (2010). Periodic Forcing of a System near a Hopf Bifurcation Point. (Doctoral Dissertation). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1291174795

Chicago Manual of Style (16th Edition):

Zhang, Yanyan. “Periodic Forcing of a System near a Hopf Bifurcation Point.” 2010. Doctoral Dissertation, The Ohio State University. Accessed September 28, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1291174795.

MLA Handbook (7th Edition):

Zhang, Yanyan. “Periodic Forcing of a System near a Hopf Bifurcation Point.” 2010. Web. 28 Sep 2020.

Vancouver:

Zhang Y. Periodic Forcing of a System near a Hopf Bifurcation Point. [Internet] [Doctoral dissertation]. The Ohio State University; 2010. [cited 2020 Sep 28]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1291174795.

Council of Science Editors:

Zhang Y. Periodic Forcing of a System near a Hopf Bifurcation Point. [Doctoral Dissertation]. The Ohio State University; 2010. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1291174795

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