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.
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Subharmonic Oscillations of a Pendulum
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.
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Skalak, R., and Yarymovych, M. I. (March 1, 1960). "Subharmonic Oscillations of a Pendulum." ASME. J. Appl. Mech. March 1960; 27(1): 159–164. https://doi.org/10.1115/1.3643891
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