| Analytical solutions of steady vibration of free rectangular plate on semi-infinite elastic foundation |
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| 作者姓名： | 王春玲 黄义 贾继红 |
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| 作者单位： | School of Science Xi'an University of Architecture and Technology，School of Science，Xi'an University of Architecture and Technology，School of Software，Dongguan University of Technology，Xi'an 710055，P.R.China，Xi'an 710055，P.R.China，Dongguan 523808，Guangdong Province，P.R.China |
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| 摘 要： | 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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| 关 键 词： | 结构振动 傅立叶转换 弹性地基 垂直载荷 结构动力学 |
| 收稿时间： | 2006-01-17 |
| 修稿时间： | 2006-11-11 |
Analytical solutions of steady vibration of free rectangular plate on semi-infinite elastic foundation |
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| Wang?Chun-ling,Huang?Yi,Jia?Ji-hong.Analytical solutions of steady vibration of free rectangular plate on semi-infinite elastic foundation[J].Applied Mathematics and Mechanics(English Edition),2007,28(2):173-182. |
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| Authors: | Wang Chun-ling Huang Yi Jia Ji-hong |
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| Institution: | 1. School of Science, Xi'an University of Architecture and Technology, Xi'an 710055, P. R. China
2. School of Software, Dongguan University of Technology, Dongguan 523808,Guangdong Province, P. R. China |
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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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