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Non-Linear Vibration Analysis of a Rectangular Plate on a Viscoelastic Foundation

Published online by Cambridge University Press:  07 June 2016

B Kishor  and
J S Rao
B Kishor
Affiliation:
University of Jodhpur
J S Rao
Affiliation:
Indian Institute of Technology, Kharagpur
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Summary

An analysis is presented for the non-linear vibrations of an elastic rectangular plate resting on a viscoelastic foundation. Hamilton’s principle is used for obtaining coupled non-linear partial differential equations of the system. These equations are uncoupled with the help of Berger’s approximation and the Galerkin method is used to obtain the solution of the resulting equations. Particular cases of the plates on an elastic foundation are also discussed.

Type
Research Article
Information
Aeronautical Quarterly , Volume 25 , Issue 1 , February 1974 , pp. 37 - 46
Copyright
Copyright © Royal Aeronautical Society. 1974

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