Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/11322
Title: Free vibration analysis of a plate on foundation with completely free boundary by finite integral transform method
Authors: Zhong, Y
Yin, JH 
Keywords: Eigenfrequencies
Elastic foundation
Finite cosine integral transform
Free boundary
Rectangular thin plate
Vibration modes
Issue Date: 2008
Source: Mechanics research communications, 2008, v. 35, no. 4, p. 268-275 How to cite?
Journal: Mechanics Research Communications 
Abstract: The theoretical solutions of eigenfrequencies and vibration modes of a rectangular thin plate on an elastic foundation with completely free boundary are derived by using a double finite cosine integral transform method. In the analysis procedure, the elastic foundation is regarded as a Winkler elastic foundation model. Because the basic dynamic elasticity equations of the thin plate on elastic foundation are only used, it is not needed to select the deformation function arbitrarily. Therefore, the solution developed in the present paper is more reasonable and more accurate. To prove the correctness of the solutions, numerical results obtained using the present solutions are compared with those in the literatures.
URI: http://hdl.handle.net/10397/11322
ISSN: 0093-6413
DOI: 10.1016/j.mechrescom.2008.01.004
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