加权残数法分析前屈曲变形对正交各向异性层迭圆柱壳屈曲载荷的影响

Analysys of the Effect of Prebuckling Deformation on Buckling of Laminated Orthotropic Cylinders by the Method of Weighted Residuals

用加权残数法求解考虑前屈曲变形影响时正交各向异性层迭圆柱壳的屈曲载荷。文中采用满足边界条件的三角级数作为试函数,然后用最小二乘法得到特征方程,求得屈曲载荷,并与差分法的结果作一对比,得到了一些满意的结论。

In the paper,the influence of prebuckling deformation on buckling of anisotropic circular cylinders is strudied using the Method of Weighted Residuals. The trial function used here is Fourier Series which can satisfy all the boundary conditions of the cylinder,and the characteristic equation of buckling is obtained by the least square method. The critical buckling load calculated in this paper is compared with the results given in paper [4] ,and some useful conclusion are obtained.