无拉力Winkler地基上板弯曲问题求解的广义协调元法

Generalized conforming element method for analyzing bending problems of plates laid on tensionless Winkler foundations

为求解无拉力 Winkler地基上厚、薄板受任意荷载作用板弯曲问题 ,以广义协调理论为基础 ,从板 -地基接触系统的分区广义势能泛函出发 ,通过建立和分析板单元区、地基单元区和连接板 -地基的接触单元区的势能泛函 ,提出求解板 -地基接触问题的广义协调元法 ;并构造了两个广义协调矩形板 -地基接触单元 FZC11和 FZC12。应用单元 FZC11和 FZC12的数值计算验证了按文中方法构造单元分析无拉力 Winkler地基上板弯曲问题是有效的。

Analysis of building structures should also include the contact between the structure and its foundation. The stresses in a plate, its foundation and the contact area linking them were analyzed as a continuous whole system with different materials. The elemental potential energy functionals for the system's three zones were analyzed using a piecewise generalized potential energy functional. Generalized conforming theory was used to develop a FEM method to analyze the contact problem between plates and foundations using two generalized conforming rectangular contact elements, FZC11 and FZC12. The numerical results show that the method is effective in analyzing the bending of thin and thick plates laid on tensionless Winkler foundations.