| 弹性半空间地基上四边自由矩形板稳态振动的解析解 |
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| 引用本文： | 王春玲,黄义,贾继红. 弹性半空间地基上四边自由矩形板稳态振动的解析解[J]. 应用数学和力学, 2007, 28(2): 156-164 |
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| 作者姓名： | 王春玲 黄义 贾继红 |
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| 作者单位： | 西安建筑科技大学 理学院,西安 710055;2.东莞理工学院 软件学院,广东 东莞 523808 |
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| 摘 要： | 采用双重Fourier变换，分析得到弹性半空间地基受竖向稳态荷载作用下的积分变换解．与四边自由矩形板的振动解析解相结合，得出弹性半空间地基上四边自由矩形板稳态振动的解析解．还给出算例及参数影响分析．
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| 关 键 词： | 弹性半空间地基 四边自由矩形板 稳态振动 相互作用 解析解 |
| 文章编号： | 1000-0887（2007）02-0156-09 |
| 收稿时间： | 2006-01-17 |
| 修稿时间： | 2006-01-17 |
Analytical Solutions of Steady Vibration of a Free Rectangular Plate on the Semi-Infinite Elastic Foundation |
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| 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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| Authors: | WANG Chun-ling HUANG Yi JIA Ji-hong |
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| Affiliation: | School of Science, Xi'an University of Architecture & Technology, Xi'an 710055, 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 of the parameters influence 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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