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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。
In order to solve the bending problem of thick and thin plates subjected to arbitrary loads acting on non-tension Winkler foundations, based on the generalized coordination theory, from the generalized potential energy functionals of the plate-foundation contact system, the board unit area and the foundation unit area are established and analyzed. A generalized coordinated element method for solving the contact problem of plate-foundation is proposed. The two generalized coordinated rectangular plates-foundation contact elements FZC11 and FZC12 are constructed. The numerical calculation of the application unit FZC11 and FZC12 verifies that the structural element analysis of the tensionless Winkler foundation plate bending problem is effective.