according to the stress and displacement variational principle, the mixed variational equations are established from which the state equation is established . thus, the theory of state space is combined with variational principle and the variational solutions are presented under arbitrary loads for transverse isotropic orthortropic bodies on general boundary conditions . thick plates on winkler's foundations are researched thoroughly 本文根据应力变分原理和位移变分原理,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原理相结合,给出了一般边界条件下横观各向同性和正交各向异性体在任意荷载作用下的变分解。