Analytically Approximate Solutions for Vibrations of a Long Discrete Chain

[+] Author and Article Information
W. Lee

Department of Physics, Chung Yuan Christian University, Chung-Li, Taiwan 32023, ROC e-mail: wlee@phys.cycu.edu.tw

J. Appl. Mech 70(2), 302-304 (Mar 27, 2003) (3 pages) doi:10.1115/1.1526120 History: Received June 19, 2001; Revised July 26, 2002; Online March 27, 2003
Copyright © 2003 by ASME
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Grahic Jump Location
A plot of frequency ratio; i.e., the natural frequency of a chain with rotational inertia divided by that of a hanging cable, versus the radius of gyration, k, for the first three modes of vibration. L=2 m and g=9.8 ms−2 .
Grahic Jump Location
A hanging chain of discrete links. (a) The coordinate system and (b) the free body diagram of the jth link. Counterclockwise displacement angles are taken positive.




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