基于偶数行Epsilon加速的结构拓扑修改重分析算法

基于Guyan缩聚和Neumann级数展开方法,提出了一个新的结构拓扑修改静态重分析方法。首先,将增加的自由度通过Guyan缩聚方法凝聚到原始结构自由度上,形成缩聚方程。其次,根据刚度矩阵增量,利用Neumann级数展开建立向量序列,采用偶数行Epsilon加速算法对向量系列进行迭代加速求和,从而快速求出原结构自由度的位移,增加自由度的位移可从缩聚方程得到。数值算例表明,本文算法计算量是基于直接Epsilon的重分析算法的一半,而计算精度相当。

Structural reanalysis algorithm study of topological modifications based on even lines Epsilon accelerated method

A new method for structural static reanalysis of topological modifications is presented.The proposed procedure is easy to implement and suit for the case of topological modifications.First,the newly added degrees of freedom are assumed to be linked to the original DOFs of the modified structure by means of the Guyan reduction so as to obtain the condensed equation.Second,the displacements of the original DOFs of the modified structure are solved using the even lines Epsilon accelerated method.And the displacements of the newly added DOFs resulting from topological modification can be recovered.In order to illustrate the application of the present method,the present method is applied to a numerical example.The numerical results show the exactitude and effectiveness of the presented reanalysis algorithm.