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在非线性有限元法的基础上，提出了一个新的搜索及确定结构非线性分支点并跟踪屈曲平衡路径全过程的求解方法─—改进弧长法.利用弧长控制多数和结构协线刚度矩阵特征值之间的非线性关系，建立了搜索并确定位于结构屈曲平街路往任一区段内的分支点的精确分析方法.改进弧长法已用于薄壳结构的非线性屈曲分析之中，数值结果表明了新方法的精确性、可靠性及计算效率.
On the basis of the nonlinear finite element method, a new method for searching and determining the nonlinear bifurcation of the structure and tracking the entire process of the buckling equilibrium path is proposed--Improved arc length method. The arc length is used to control the majority and the structural linearity Based on the nonlinear relationship between the matrix eigenvalues, an accurate analysis method is established to search for and determine the branch points located in any section of the Qufuping Street of the structure. The improved arc length method has been applied to nonlinear buckling analysis of thin shell structures. The numerical results show the accuracy, reliability and computational efficiency of the new method.