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

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

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(2): 156-164

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.

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

1.
School of Science, Xi'an University of Architecture & Technology, Xi'an 710055, P. R. China;

Received Date: 2006-01-17
Rev Recd Date: 2006-11-11
Publish Date: 2007-02-15

Abstract

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 of the parameters influence were presented.
- semi-infinite elastic foundation,
- rectangular plate with four free edges,
- steady vibration,
- interaction,
- analytical solution

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References(11)

References

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