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RESEARCH PAPERS

Subharmonic Oscillations of a Pendulum

[+] Author and Article Information
Richard Skalak

Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, N. Y.

M. I. Yarymovych

Research and Advanced Development Division, AVCO Corporation, Wilmington, Mass.

J. Appl. Mech 27(1), 159-164 (Mar 01, 1960) (6 pages) doi:10.1115/1.3643891 History: Received January 13, 1959; Online September 16, 2011

Abstract

Large amplitude oscillations of a simple pendulum whose support moves with a prescribed vertical oscillation are studied by an approximate method. Subharmonics of order 1/2, 1/4, 1/6, and 1/8 are discussed and the theoretical results are compared with experiments. The stability of the theoretical steady states is investigated by the method of Andronow and Will.

Copyright © 1960 by ASME
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