Analytical solutions of steady vibration of free rectangular plate on semi-infinite elastic foundation |
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| Authors: | Wang Chun-ling Huang Yi Jia Ji-hong |
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| Institution: | School of Science, Xi'an University ofArchitecture and Technology, Xi'an 710055, P. R. China;School of Software, Dongguan University of Technology, Dongguan 523808,Guangdong Province, P. R. China;Contributed by HUANG Yi, Original Member of Editorial Committee, AMM |
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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. |
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| Keywords: | semi-infinite elastic foundation rectangular plate with four free edges steady vibration interaction analytical solution |
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