层合圆板与弹性地基相互作用分析

用半解析元法分析了轴对称横观各向同性层合圆厚板与弹性地基的相互作用，提出了一种新的半解析位移函数。采用在水平方向解析，在竖向进行离散化的方法，使动力相互作用问题化为一维数值计算问题，大大减少了计算工作量。数值计算结果表明：考虑相互作用后，层合圆板自振周期大于不考虑相互作用时的自振周期；在结构和地基动力相互作用分析中，地基的计算厚度可取为地基深度与基础的半径之比大于10，地基的计算面积可取在地基计算面积与基础面积之比大于30。

Dynamics Interaction Analysis between Laminated Circular Plate and Elastic Foundation

In this paper, the interaction between laminated transversely isotropic circular plate and elastic foundation is analyzed by using the Semi-Analytic Element Method, a kind of semi-analytic displacement function is suggested. A analytic function set is used in the horizontal directions and the method of discreteness is used in vertical direction. Thus, the interaction problem can be simplified to one dimensional numerical problem whereby computation work can be greatly reduced. Numerical calculation results indicate that after taking interaction into account, the self-vibrating circle of laminated plate is larger than that without taking interaction into account; and that in analyzing the dynamic interaction between the structure and foundation, the calculated thickness of foundation can be 10 times larger than the ratio between the foundation depth and the radius of laminated circular plate and the foundation and the calculated area of the foundation can be 30 times larger than the ratio between the foundation calculated area and area of laminated circular plate.