弹性半空间地基上四边自由矩形板稳态振动的解析解  

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

作　　者：王春玲[1] 黄义[1] 贾继红[2] 

机构地区：[1]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

出　　处：《应用数学和力学》2007年第2期156-164,共9页Applied Mathematics and Mechanics

基　　金：陕西省自然科学基金资助项目(2006D23)

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.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 selid-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.

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 

分 类 号：O343.3[理学—固体力学] O327[理学—力学]