A Class of General Solutions to the Nonlinear Dynamic Equations of Elastic Strings

[+] Author and Article Information
Shiang-Yu Lee, W. F. Ames

Department of Mechanics and Hydraulics, University of Iowa, Iowa City, Iowa

J. Appl. Mech 40(4), 1035-1039 (Dec 01, 1973) (5 pages) doi:10.1115/1.3423121 History: Received August 01, 1972; Revised February 01, 1973; Online July 12, 2010


A class of general solutions to the nonlinear dynamic equations for large deflections of an elastic string is developed. These solutions, obtained under a condition of decoupling, are valid for transverse waves traveling in one direction on semi-infinite or infinite regions. An example is given and the results demonstrate clearly the effect of transverse wave distortion.

Copyright © 1973 by ASME
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