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 本文根據(jù)應(yīng)力變分原理和位移變分原理,導(dǎo)出混合變分方程,并將其轉(zhuǎn)換成狀態(tài)方程,使?fàn)顟B(tài)空間理論和變分原理相結(jié)合,給出了一般邊界條件下橫觀各向同性和正交各向異性體在任意荷載作用下的變分解。