Self-Contact of Rods via Unconstrained Energy Minimization Techniques
dc.contributor.advisor | Hoffman, Kathleen A | |
dc.contributor.advisor | Manning, Robert S | |
dc.contributor.author | Battaglino, Frank Louis | |
dc.contributor.department | Mathematics and Statistics | |
dc.contributor.program | Mathematics, Applied | |
dc.date.accessioned | 2021-01-29T18:12:49Z | |
dc.date.available | 2021-01-29T18:12:49Z | |
dc.date.issued | 2018-01-01 | |
dc.description.abstract | The objective of this project is to use numerical optimization methods to investigate the feasibility of obtaining self-contact solutions for inextensible, shear- able, and isotropic thin rods via numerical continuation of a twist parameter applied at one end and a static potential along the rod. A semi-circular boundary condition is considered as a common example which can readily produce contact phenomena. We impose an energy potential of the form e^?kx /x as presented in [1], that will prevent self-penetration of the elastic rod. Using these techniques, we observe the emergence of multiple contact points dependent upon the applied twist. | |
dc.format | application:pdf | |
dc.genre | theses | |
dc.identifier | doi:10.13016/m2dztq-mdgu | |
dc.identifier.other | 11880 | |
dc.identifier.uri | http://hdl.handle.net/11603/20758 | |
dc.language | en | |
dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
dc.relation.ispartof | UMBC Mathematics and Statistics Department Collection | |
dc.relation.ispartof | UMBC Theses and Dissertations Collection | |
dc.relation.ispartof | UMBC Graduate School Collection | |
dc.relation.ispartof | UMBC Student Collection | |
dc.source | Original File Name: Battaglino_umbc_0434M_11880.pdf | |
dc.subject | Discrete | |
dc.subject | Elastic | |
dc.subject | Optimization | |
dc.subject | Rod | |
dc.subject | Unconstrained | |
dc.title | Self-Contact of Rods via Unconstrained Energy Minimization Techniques | |
dc.type | Text | |
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