WANG Chun-ling, HUANG Yi, JIA Ji-hong. Analytical Solutions of Steady Vibration of a Free Rectangular Plate on the Semi-Infinite Elastic Foundation[J]. Applied Mathematics and Mechanics, 2007, 28(2): 156-164.
Citation: WANG Chun-ling, HUANG Yi, JIA Ji-hong. Analytical Solutions of Steady Vibration of a Free Rectangular Plate on the Semi-Infinite Elastic Foundation[J]. Applied Mathematics and Mechanics, 2007, 28(2): 156-164.

Analytical Solutions of Steady Vibration of a Free Rectangular Plate on the Semi-Infinite Elastic Foundation

  • Received Date: 2006-01-17
  • Rev Recd Date: 2006-11-11
  • Publish Date: 2007-02-15
  • 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 of the parameters influence were presented.
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