考虑前屈曲几何非线性影响的结构稳定性分析

本文采用有限元法分析考虑前屈曲几何非线性影响的结构稳定性。应用伴有线性搜索和各种牛顿型解法的组合弧长法可以顺利地描述包含有极值点的载荷一位移曲线,与此同时,若在加载点处计算结构刚度矩阵的行列式值、临界载荷因子和特性刚度参数等值,则可根据稳定准则,通过插值确定临界点的位置。从而为研究复杂结构稳定性提供简便而有效的方法。

STRUCTURAL STABILITY ANALYSIS CONSIDERING GEOMETRIC NONLIEARITY ON THE PREBUCKBVG PATH

This paper provides the structural stability analysis considering geometric nonlinearity on the prebuckling path by the finite element method. The combination of the arc-length method with line search and various Newton type procedures is ideally suited for tracking the nonlinear response from the pre-limit to the post-limit range and can also improve the solution quality. At the same time, calculating the determinant and eigenvalue analysis for load parameter and the current stiffness parameter at the beginning in the each load step, we can get the critical points including bifurcation point and limit point according to the stability criterion. Two examples involving the stability analysis of the shells have shown that the provided methods are simple and effective and can be recommended.