A Discrete Model of an Extensible String in Three-Dimensional Space

[+] Author and Article Information
K. Nishinari

Department of Mechanical Engineering, Yamagata University, Yonezawa, Yamagata 992, Japan

J. Appl. Mech 66(3), 695-701 (Sep 01, 1999) (7 pages) doi:10.1115/1.2791597 History: Received May 18, 1998; Revised January 27, 1999; Online October 25, 2007


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.

Copyright © 1999 by The American Society of Mechanical Engineers
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