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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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|
|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|
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