# 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 Copyright of this article belongs to Elsevier. Division of Mechanical Sciences > Mechanical Engineering 30 Apr 2007 19 Sep 2010 04:37 http://eprints.iisc.ernet.in/id/eprint/10754