加权残数法分析前屈曲变形对复合材料层迭圆柱壳屈曲载荷的影响

Analysing the Influence of Prebuckling Deformation on the Buckling of Laminated Cylindrical Shells by the Method of Weighted Residuals

用加权残数法求解复合材料层迭圆柱壳在考虑前屈曲变形影响时的屈曲载荷。文中从Donnell大挠度方程出发推导了屈曲方程，然后以满足部分边界条件的三角级数作为试函数，通过分离变量使二维问题转化为一维问题，并采用改进的权函数矩阵使残值为零得到特征方程，求得了较为优良的屈曲载荷。

The buckling load of laminated comPOsite cylindrical shells considering the prebuckling deformations is worked out by the method of weighted residuals. Buckling equations are derived based on the Dennell nonlinear geometric equations,then the Fourier series is used as the trial function which can fit the boundary conditions,and the 2-dimensional problem is converted into 1-dimensional problem by separating variables. The characteristic equations are established by using a new weighting matrix,and a more excellent buckling load is obtained.