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

Abstract:

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.

• Periodical: Advanced Materials Research (Volumes 291-294)
• Pages: 2094-2097
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.291-294.2094
• Online since: July 2011
• Authors: Chun Ling Wang, Huan Ding, Hai Xia Zhang
• Keywords: Analytic Solution, Elastic Half-Space, Interaction, Orthotropic Rectangular Plate with Four Free Edges, Steady Vibration

References

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