Affiliation:
1. Department of Mechanical Engineering, Yamagata University, Yonezawa, Yamagata 992, Japan
Abstract
In this paper, a discrete model of an extensible string in three-dimensional space is presented. The model contains the bending and twisting of a string, and becomes the special Cosserat string in the continuous limit. We also present a new method of analyzing a string in space by the soliton theory, which can reduce the basic equations to a simpler tractable form. Some exact solutions are obtained by the soliton theory. The discrete basic equations are also shown to be suitable for numerical simulations of string dynamics.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference21 articles.
1. Antman, S. S., 1995, Nonlinear Problems of Elasticity, Springer-Verlag, New York.
2. Coleman
B. D.
, and DillE. H., 1992, “Flexure Waves in Elastic Rods,” Journal of the Acoustical Society of America, Vol. 91, pp. 2663–2673.
3. Doi, M., and Edwards, S. F., 1986, The Theory of Polymer Dynamics Oxford University Press, New York.
4. Doliwa
A.
, and SantiniP. M., 1994, “An Elementary Geometric Characterization of the Integrable Motions of a Curve,” Physics Letters A, Vol. 185, pp. 373–384.
5. Fukumoto
Y.
, 1997, “Stationary Configurations of a Vortex Filament in Background Flows,” Proceedings of the Royal Society of London, Vol. A453, pp. 1205–1232.
Cited by
13 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献