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

Author:

Lee Shiang-Yu1,Ames W. F.1

Affiliation:

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

Abstract

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Cited by 9 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

1. A tribute to Professor William F. Ames on his 80th birthday;Journal of Mathematical Analysis and Applications;2007-09

2. Solitary Waves in Flexible, Arbitrary Elastic Helix;Journal of Engineering Mechanics;1998-09

3. Nonlinear Response of a Taut String to Longitudinal and Transverse End Excitation;Journal of Vibration and Control;1995-07

4. Bibliography;Applied Nonlinear Dynamics;1995-03-29

5. Group properties of the non-linear dynamic equations of elastic strings;International Journal of Non-Linear Mechanics;1990-01

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