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.
出处
《应用数学和力学》
CSCD
北大核心
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)
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
semi-infinite elastic foundation
rectangular plate with four free edges
steady vibration
interaction
analytical solution
