Forced nonlinear oscillations of an autoparametric system-Part 1: Periodic responses

Hatwal, H. ; Mallik, A. K. ; Ghosh, A. (1983) Forced nonlinear oscillations of an autoparametric system-Part 1: Periodic responses Journal of Applied Mechanics, 50 (3). pp. 657-662. ISSN 0021-8936

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Related URL: http://dx.doi.org/10.1115/1.3167106

Abstract

Forced oscillations of a two degree-of-freedom autoparametric system are studied with moderately high excitations. The approximate results obtained by the method of harmonic balance are found to be satisfactory by comparing with those obtained by numerical integration. In the primary parametric instability zone, separate regions of stable and unstable harmonic solutions are obtained. In the regions of unstable harmonic solutions, depending on the forcing amplitude and frequency, the solutions may be amplitude modulated or completely nonperiodic. In the latter case the numerical integrations do not converge.

Item Type:Article
Source:Copyright of this article belongs to The American Society of Mechanical Engineers.
ID Code:73579
Deposited On:06 Dec 2011 08:47
Last Modified:06 Dec 2011 08:47

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