An Exactly Solvable Case for a Thin Elastic Rod

2006/02/11 by Dandoloff, Rossen, Grahovski, Georgi G.
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS)

paper · doi:10.48550/arxiv.nlin/0602025

Abstract

We present a new exact solution for the twist of an asymmetric thin elastic rods. The shape of such rods is described by the static Kirchhoff equations. In the case of constant curvatire and torsion the twist of the asymmetric rod represents a soliton lattice.

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