Author:
Zhang Shuai,Zhang Yitong,Wang Peng
Abstract
Abstract
Inspired by Kirchhoff dynamic analogy, we write the Kirchhoff equation of thin elastic rod in form of curvature expression. Compared it with nonlinear Schrödinger equation, we extend a Jacobi elliptic function analogy solution to elastic rod equation and give a new alternative way to solve the Kirchhoff equation.
Subject
General Physics and Astronomy
Reference12 articles.
1. DNA mechanics[J];Benham;Annu. Rev. Biomed. Eng.,2005
2. Nonlinear Mechanics of Thin Elastic Rod-Theoretical Basis of Mechanical Model of DNA[M];Liu,2006
3. Stability and vibration of a helical rod with circular cross section in a viscous medium[J];Liu;Chinese Physics,2007
4. Stability of a straight Kirchhoff elastic rod under the force screws[J];Xue;Acta Physica Sinica,2009
5. Biological Applications of the Dynamics of Twisted Elastic Rods[J];Klapper;Journal of Computational Physics,1996