In state-space framework , there exist many references for exact solutions of laminates with four sides simply supported , and the literature on the other boundary conditions is rare .For rectangular laminates with two op-posite sides simply supported and other sides slippery surface , the state variables are expressed in appropriate trigo-nometric form according to the boundary conditions .Then, after expanding the state variables in the form of series , three-dimensional state equation of rectangular laminates corresponding to the boundary conditions is derived by three-dimensional state space approach .By combining method of analyzing rectangular laminates with four sides simply supported , numerical examples under uniform pressure are investigated for rectangular laminates with two opposite sides simply supported and other sides slippery surface .The numerical results and displacement distribu-tion diagram demonstrate that the laminates investigated have obvious cylindrical bending characteristics .The re-sults of this paper can be used as standard solutions for other numerical methods .%在状态空间体系下，研究四边简支层合板壳精确解的文献较多，而关于其它边界条件问题的文献却不多见。根据矩形板一对对边简支（ simply supported ）另一对边滑移（ slippery surface ）的边界条件特征，构造了状态变量三角函数形式表达式。然后，基于三维的状态空间方法，将状态变量以级数形式展开，推导了相应的三维状态方程。借助四边简支矩形层合板的求解方法，给出了矩形层合板表面受均布压应力作用下的数值实例。从数值结果和位移图形可以看出，本文的矩形层合板弯曲变形具有明显的圆柱弯曲特征，其数值结果可作为其它数值法的标准解。
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