Free Vibration of Orthotropic Plate on Foundation with Four Edges Free by Finite Integral Transform Method

Abstract:

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The double finite cosine integral transform method is exploited to obtain explicit solutions for the natural frequencies and mode shapes of the orthotropic rectangular plate on foundation with four edges free. In the analysis procedure, the classical Kirchhohh orthotropic rectangular plate is considered and the Winkler elastic foundation is utilized to represent the elastic foundation. Because only are the basic dynamic elasticity equations of the orthotropic thin plate on elastic foundation adopted, it is not need prior to select the deformation function arbitrarily. Therefore, the solution developed by present paper is reasonable and theoretical. In order to illuminate the correction of formulations, the numerical results are also presented to comparing with that of the other references.

Info:

Periodical:

Advanced Materials Research (Volumes 243-249)

Edited by:

Chaohe Chen, Yong Huang and Guangfan Li

Pages:

4253-4256

DOI:

10.4028/www.scientific.net/AMR.243-249.4253

Citation:

Y. Zhong and Y. Y. Gao, "Free Vibration of Orthotropic Plate on Foundation with Four Edges Free by Finite Integral Transform Method", Advanced Materials Research, Vols. 243-249, pp. 4253-4256, 2011

Online since:

May 2011

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Price:

$35.00

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