Free Vibration of Thin Circular Plates Resting on an Elastic Foundation with a Variable Modulus
Publication: Journal of Engineering Mechanics
Volume 142, Issue 4
Abstract
An exact solution is established pertaining to the problem of undamped free vibration of a thin circular plate resting on a Winkler foundation with variable subgrade modulus. The solution is performed by applying the infinite power series method. Moreover, the solution procedure is demonstrated through an illustrative example, wherein the general frequency equation is derived for two different boundary conditions. The correctness of the solution is also verified using results available in the literature. Finally, it is shown that the proposed method of solution is directly applicable to the more-general problem of circular plates on a variable-modulus Pasternak-type foundation.
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Published In
Journal of Engineering Mechanics
Volume 142 • Issue 4 • April 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Sep 4, 2015
Accepted: Oct 26, 2015
Published online: Jan 8, 2016
Published in print: Apr 1, 2016
Discussion open until: Jun 8, 2016
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