Self-Contact of Rods via Unconstrained Energy Minimization Techniques
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Date
2018-01-01
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Department
Mathematics and Statistics
Program
Mathematics, Applied
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Access limited to the UMBC community. Item may possibly be obtained via Interlibrary Loan thorugh a local library, pending author/copyright holder's permission.
This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.
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.