高耸构筑物厚地基圆板的混合变分解  

Mixed variational solutions of thick foundation circular plates for topping construct

作　　者：高荣誉[1] 

机构地区：[1]安徽建筑工业学院土木工程系,安徽合肥230022

出　　处：《四川建筑科学研究》2005年第6期101-105,共5页Sichuan Building Science

基　　金：安徽省科技厅重点科研资助项目(02021033);安徽省教育厅自然科学基金资助项目(97JL012)

摘　　要：根据应力变分和位移变分原理,导出圆板的混合变分方程,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,得出任意厚地基圆板的变分解,同时给出了数值结果。According to the stress and displacement variational principle, the mixed variational equations of a plate are presented, from which the state equation is obtained. Thus, the theory of state space is combined with variational solution. The foundation reaction as nondependent state variable is directly introduced in the formulate of state equation, and the variational solutions of foundation circular plate, are presented for arbitrary thickness, and numerical results are applied also.

关 键 词：厚地基圆板 状态方程 CAYLEY-HAMILTON定理 变分解 

分 类 号：TU470.3[建筑科学—结构工程]