弹性半空间地基上四边自由矩形板稳态振动的解析解

基金项目: 陕西省自然科学基金资助项目(2006D23)

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

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

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．
- 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
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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