Bapat, VA and Srinivasan, P (1970) Free vibrations of non-linear cubic spring mass systems in the presence of coulomb damping. In: Journal of Sound and Vibration, 11 (1). pp. 121-137.
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Abstract
An exact solution for the free vibration problem of non-linear cubic spring mass system with Coulomb damping is obtained during each half cycle, in terms of elliptic functions. An expression for the half cycle duration as a function of the mean amplitude during the half cycle is derived in terms of complete elliptic integrals of the first kind. An approximate solution based on a direct linearization method is developed alongside this method, and excellent agreement is obtained between the results gained by this method and the exact results. © 1970 Academic Press Inc. (London) Limited.
Item Type: | Journal Article |
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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: | 04 Jun 2010 09:35 |
Last Modified: | 19 Sep 2010 06:08 |
URI: | http://eprints.iisc.ac.in/id/eprint/28277 |
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