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Free vibrations of non-linear cubic spring mass systems in the presence of coulomb damping

✍ Scribed by V.A. Bapat; P. Srinivasan

Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
586 KB
Volume
11
Category
Article
ISSN
0022-460X

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✦ Synopsis

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.

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