Self-Contact of Rods via Unconstrained Energy Minimization Techniques

dc.contributor.advisorHoffman, Kathleen A
dc.contributor.advisorManning, Robert S
dc.contributor.authorBattaglino, Frank Louis
dc.contributor.departmentMathematics and Statistics
dc.contributor.programMathematics, Applied
dc.date.accessioned2021-01-29T18:12:49Z
dc.date.available2021-01-29T18:12:49Z
dc.date.issued2018-01-01
dc.description.abstractThe 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.formatapplication:pdf
dc.genretheses
dc.identifierdoi:10.13016/m2dztq-mdgu
dc.identifier.other11880
dc.identifier.urihttp://hdl.handle.net/11603/20758
dc.languageen
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mathematics and Statistics Department Collection
dc.relation.ispartofUMBC Theses and Dissertations Collection
dc.relation.ispartofUMBC Graduate School Collection
dc.relation.ispartofUMBC Student Collection
dc.sourceOriginal File Name: Battaglino_umbc_0434M_11880.pdf
dc.subjectDiscrete
dc.subjectElastic
dc.subjectOptimization
dc.subjectRod
dc.subjectUnconstrained
dc.titleSelf-Contact of Rods via Unconstrained Energy Minimization Techniques
dc.typeText
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