Nonlinear dynamic strand model with coupled tension and torsion
Computational Physics
2007-05-23 v1
Abstract
We simulate the nonlinear dynamic responses in Kirchhoff rod by including the important effects due to inertia and kinematic coupling of tension and torsion. We begin by reviewing a dynamic rod model of a strand (length of cable or DNA) in the form of a 12th order partial differential equation system. Numerical solutions reveal the effects of dynamics on clamped strands due to slow movements of their ends. We note that inertia plays a critical role in this process, particularly under loading conditions that pass through an instability. For example, we simulated a dynamic trasition path between two possible equilibria of a clamped rod subject to very slow compression.
Cite
@article{arxiv.physics/0702201,
title = {Nonlinear dynamic strand model with coupled tension and torsion},
author = {Sachin Goyal and Noel C. Perkins},
journal= {arXiv preprint arXiv:physics/0702201},
year = {2007}
}
Comments
2 pages, 2 figures, Nonlinear Vibrations, July 25-28, 2004, Blacksburg, VA