首先用解析方法得到了正交异性层合板在大位移自振时的基本解 ,又用伽辽金变分方法求出了非线性振动时的频率 ,最后用网格法算出了最佳铺层角 Firstly, the basic solution of the orthotropic laminated plate subjected to large-displacement self-vibration is obtained by analytical method. The frequency of nonlinear vibration is also obtained by the Galerkin’s variational method. Finally, the optimal layer is calculated by the grid method. angle