This brief note studies small transverse vibrations of a long hanging chain of discrete links. Analytical approximate solutions are obtained when the number of links is considered large while they still posses nontrivial rotary inertia. The results imply that the rotary inertia becomes more significant for higher modes of vibration.
Analytically Approximate Solutions for Vibrations of a Long Discrete Chain
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, June 19, 2001; final revision, July 26, 2002. Associate Editor: A. A. Ferri.
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Lee , W. (March 27, 2003). "Analytically Approximate Solutions for Vibrations of a Long Discrete Chain ." ASME. J. Appl. Mech. March 2003; 70(2): 302–304. https://doi.org/10.1115/1.1526120
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