任意厚度横观各向同性地基板的混合变分解  

MIXED VARIATIONAL SOLUTIONS OF TRANSVERSE ISOTROPIC FOUNDATION PLATES WITH ARBITRARY THICKNESS

作　　者：高荣誉[1] 盛宏玉[2] 

机构地区：[1]安徽建筑工业学院土木工程系,合肥230022 [2]合肥工业大学土木工程学院,合肥230009

出　　处：《工业建筑》2004年第10期40-43,共4页Industrial Construction

基　　金：安徽省教育厅自然科学基金资助项目 (编号 :97JL0 12 );安徽省科技厅重点科研项目 (编号 :0 2 0 2 10 3 3 )

摘　　要：根据应力变分方程和伽辽金变分方程原理 ,推导出混合变分方程 ,并将其转换成状态方程 ,使状态空间理论和变分解相结合。将地基反力作为非独立状态变量直接引入到状态方程表达式中 ,给出横观各向同性地基厚板的变分解。对数值结果与精确解进行了对比 。According to the stress and displacement variational principles, the mixed variational equations are established, from which the state equation is obtained. Thus, the theory of state space is combined with variational solution. The foundation reaction as non-independent state variable is introduced in the expression of state equation, and the variational solutions are presented for transverse isotropic foundation plates with arbitrary thickness. Numerical results are compared with exact solutions, whose result is satisfactory.

关 键 词：横观各向同性地基 地基反力 厚板 变分 厚度 相结合 应力 混合 分解 直接 

分 类 号：TU470[建筑科学—结构工程]