Vibration Cosine Solutions of Free Orthotropic Rectangular Plates on the Elastic Half-Space

Abstract:

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In this paper, the analytic solutions of steady vibration of free orthotropic rectangular plate loaded with vertical steady loading on the elastic half-space was given by combining the general solution of double trigonometrically cosine series with supplementary terms with dynamic integral representations for displacements of the elastic half-space loaded with arbitrary vertical steady loading. This solution not only is four-order derivative, but also has less undetermined coefficients. It can be used to solve the problems of bending and steady vibration of orthotropic rectangular plates on the elastic half-space without be classified and be superimposed. This causes this kind of things, bending and steady vibration of orthotropic rectangular plates with four free edges on the elastic half-space, unionization, simplification and systematization. When the material is isotropic, the solutions are turned into analytic solutions of steady vibration of free rectangular plate on the elastic half-space. At last some computational examples are presented and the results are coincided with those in literatures. Then the method in this paper will be of important practical applications.

Info:

Periodical:

Advanced Materials Research (Volumes 291-294)

Edited by:

Yungang Li, Pengcheng Wang, Liqun Ai, Xiaoming Sang and Jinglong Bu

Pages:

2094-2097

DOI:

10.4028/www.scientific.net/AMR.291-294.2094

Citation:

C. L. Wang et al., "Vibration Cosine Solutions of Free Orthotropic Rectangular Plates on the Elastic Half-Space", Advanced Materials Research, Vols. 291-294, pp. 2094-2097, 2011

Online since:

July 2011

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Price:

$35.00

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