圆柱壳板非线性屈曲的分叉解

Nonlinear Bifurcation Buckling Solution of Circular Cylindrical Shell Panel

采用商用有限元分析软件MSC/Nastran,对两直边铰支、其余两边自由的各向同性圆柱壳板中心受横向集中载荷下的非线性屈曲和后屈曲过程进行了分析,简单地采用了不对称网格技术就可获得该基准问题的分叉屈曲解,计算得到分叉屈曲解的极限载荷比基准解极限载荷小10%左右。对采用了多种不对称网格划分得到的模型进行了分析,以研究不同网格划分对最终结果的影响。结果表明,虽然不对称网格技术十分简单,但是也有一定的局限性,文中给出了能得到分叉屈曲解的网格划分方法,还分析了类似的复合材料圆柱壳板问题。研究结果表明,即使采用对称网格划分也能够得到该问题的分叉屈曲解,并阐述了其原因。

Nonlinear buckling and post-buckling of the circular cylindrical panel with its straight edges hinged and the other free edges subjected to a transversely concentrated load at its center are analyzed by using the commercial finite element（FE） software MSC/Nastran. Its bifurcation buckling load is solution obtained hy using an asymmetric mesh technique （AMT）. Computing data indicate that the limited load of bifurcation buckling solution is lower about 10% than that of the available benchmark solution. To study the effects of different meshes on the final results, various models obtained by different asymmetric meshes are used. It is shown that although the AMT is simple but it has some limitations. A meshing method for obtaining bifurcation buckling solution is given. A similar problem to a circular cylindrical composite panel is analyzed. The result shows show that the bifurcation buckling solution can also be obtained even with a symmetric mesh. Finally, the reasons are described.