Nonlinear dynamic strand model with coupled tension and torsion

Details Nonlinear dynamic strand model with coupled tension and torsion Nonlinear dynamic strand model with coupled tension and torsion

2007-02-23

arxiv.org/abs/physics/0702201v1

Physics

Computational Physics

2 pages, 2 figures, Nonlinear Vibrations, July 25-28, 2004, Blacksburg, VA

Scientific paper

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.

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