关键词: 应用力学, 拓扑修改, 结构静态重分析, BFGS拟牛顿法, Hesse矩阵, 有限元系统

Abstract: A new method for the structural static reanalysis of the topological modification was presented using the superlinear convergence property of the BFGS quasiNewton algorithm. According to the analysis results of the original system, the starting iterative matrixes of the BFGS modification iterative matrixapproximation inverse Hesse matrix for all three cases of modification corresponding the number of DoF is unchanged, decreased, or increased were set. Compared with the BFGS algorithm with traditional random selecting the starting iterative as the unit matrix, application of the proposed algorithm to get the response of the modified structure leading to reduce significantly the computational cost. The numerical results proved the exactitude and effectiveness of the proposed structure reanalysis algorithm.

Key words: applied mechanics, topological modification, structural static reanalysis, BFGS quasiNewton algorithm, Hesse matrix, finite element system