Subharmonic Oscillations of a Pendulum

Author:

Skalak Richard1,Yarymovych M. I.2

Affiliation:

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

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

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

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