厚圆板与无限层土地基的动力相互作用

用半解析元法分析了厚圆板基础与无限层土地基的三维动力相互作用，提出了一种新的半解析位移函数。采用在水平两方向解析，在竖向进行离散化的方法，使三维动力相互作用的问题简化为一维数值计算问题，大大减少了计算工作量。数值计算表明，在结构和地基相互作用分析中，地基的计算厚度可取为地基深度H与基础的半径R之比(H／R)大于10，地基的计算面积可取为地基计算面积与基础面积之比(S1／S2)大于30；同时在基础设计过程中，应该考虑各层土特性对系统动力特性影响的差异。

Dynamic interaction between thick rounded plate and infinite layer foundation

The three dimensional interaction was analyzed by the semi-analytic-element-method.Two sets of analytic functions were used in the horizontal directions and the method of discreteness was used in vertical direction .Thus the three dimensional interaction can be simplified to one dimensional numerical computation. The results show that the calculated thickness of elastic foundation should be ten times as much as the radius of thick rounded plate, and calculated area of elastic foundation should be thirty times as much as the area of thick rounded plate.The characteristic of every layer foundation which influence the dynamic of system must be considered.