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Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (2): 173-182 .doi: https://doi.org/10.1007/s10483-007-0205-z

• Articles • Previous Articles     Next Articles

Analytical solutions of steady vibration of
free rectangular plate on semi-infinite elastic foundation

WANG Chun-ling, HUANG Yi, JIA Ji-hong   

    1. School of Science, Xi'an University ofArchitecture and Technology, Xi'an 710055, P. R. China;
    2. School of Software, Dongguan University of Technology, Dongguan 523808,Guangdong Province, P. R. China
    3. Contributed by HUANG Yi, Original Member of Editorial Committee, AMM
  • Received:2006-01-17 Revised:2006-11-11 Online:2007-02-18 Published:2007-02-18

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Abstract: The method of double Fourier transform was employed in the analysis of the semi-infinite elastic foundation with vertical load. And an integral representations for the displacements of the semi-infinite elastic foundation was presented. The analytical solution of steady vibration of an elastic rectangle plate with four free edges on the semi-infinite elastic foundation was also given by combining the analytical solution of the elastic rectangle plate with the integral representation for displacements of the semi-infinite elastic foundation. Some computational results and the analysis on the influence of parameters were presented.

Key words: semi-infinite elastic foundation, rectangular plate with four free edges, steady vibration, interaction, analytical solution

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