Response of Undamped Non-linear Spring Mass Systems Subjected to Constant Force Excitation

Bapat, VA and Srinivasan, P (1969) Response of Undamped Non-linear Spring Mass Systems Subjected to Constant Force Excitation. In: Journal of Sound and Vibration, 9 (3). pp. 438-446.

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Abstract

The step function response of non-linear spring mass systems with restoring force characteristics of the form (i) $f(x) = \alpha x + \beta(sgnx)|x|^2, (ii) f(x) =\beta(sgnx)|x|^2 + yx^3, (iii) f(x) = \alpha x + \beta(sgn x)|x|^2 + yx^3$, is investigated. Exact expressions are obtained for the maximum response and the period of oscillation in terms of well-tabulated special functions. Results are presented in graphical form for a wide range of parameters.

Item Type:	Journal Article
Publication:	Journal of Sound and Vibration
Publisher:	Elsevier
Additional Information:	Copyright of this article belongs to Elsevier.
Department/Centre:	Division of Mechanical Sciences > Mechanical Engineering
Date Deposited:	30 Apr 2007
Last Modified:	19 Sep 2010 04:37
URI:	http://eprints.iisc.ac.in/id/eprint/10754

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