矩形薄板与无限层土地基的相互作用

用半解析单元法分析了矩形薄板与无限层土地基的静动力相互作用，提出了板单元和地基单元半解析位移函数。采用在水平两方向解析，在竖向进行离散化的方法，使三维相互作用的问题简化为一维数值计算问题。根据半解析单元法编制的程序操作简单，收敛速度快，提高了计算精度，大大减少了计算工作量。数值计算表明，在工程上必须注意基础附近的表层土的弹性模量的确定，而较深处层土的特性可粗略估计。

Interaction between thin rectangle plate and infinite layer foundation

The interaction between thin rectangular rectangle plate and infinite layer foundation is analyzed by the semi-analytic element. Two sets of analytic functions are used in the horizontal directions and the method of discreteness is used in vertical direction. Thus the three dimensional interaction problem can be simplified to one dimensional numerical problem. The program based on the principle of semi-analytic element method can save compution time dramatically for its quick convergence. The numerical result shows that the elastic modulus of topsoil nearby foundation must taken into account, because it has a influence on statics and dynamics of system, and the characteristic of deep soil can be estimatd approximately. 3 tabs, 3 figs, 10 refs.