Effect of static deflection on natural frequency of non-linear spring mass system by direct linearization method

Bapat, VA and Srinivasan, P (1969) Effect of static deflection on natural frequency of non-linear spring mass system by direct linearization method. In: Journal of Sound and Vibration, 10 (3). pp. 444-446.

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Abstract

An exact expression for the frequency of a non-linear cubic spring mass system is obtained considering the effect of static deflection. An alternative expression for the approximate frequency is also obtained by the direct linearization procedure; it is shown that this is very accurate as compared with the exact method. This approximate frequency equation is used to explain a “dual behaviour” of the frequency amplitude curves.

Item Type:	Journal Article
Publication:	Journal of Sound and Vibration
Publisher:	Elsevier Science
Additional Information:	Copyright of this article belongs to Elsevier Science.
Department/Centre:	Division of Mechanical Sciences > Mechanical Engineering
Date Deposited:	18 May 2010 05:53
Last Modified:	19 Sep 2010 06:05
URI:	http://eprints.iisc.ac.in/id/eprint/27624

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