Nonlinear Dynamics and Loop Formation in Kirchoff Rods with Implications to the Mechanics of DNA and Cables2005
AbstractThe paper contributes a general dynamical formulation and numerical solution procedure for studying nonlinear and three-dimensional dynamics of Kirchhoffrods. Target applications include the dynamic formation of DNA loops and supercoils as well as loops (hockles) in marine cables. The formulation accommodates non-homogeneous and non-isotropic inextensible rods both with and without coupling of tension and torsion. The utility of this formulation is illustrated by studying the dynamics and quasi-static response of a clamped–clamped rod subject to compression and/or twist. For slow loading rates, the computed quasi-static responses converge to published equilibrium solutions for a benchmark problem. As loading rates increase, new behaviors are observed including hysteresis in the neighborhood of equilibrium bifurcations. The addition of chirality in the form of tension–torsion coupling has a pronounced influence on the computed looped geometries. This finding has implications for DNAloops formed by DNA–protein binding as well as loop formation in helically wound wire and synthetic cables.
Citation InformationSachin Goyal, Noel C. Perkins and Christopher L Lee. "Nonlinear Dynamics and Loop Formation in Kirchoff Rods with Implications to the Mechanics of DNA and Cables" (2005)
Available at: http://works.bepress.com/christopher_lee/35/