关于结构刚度修改的一个新算法

A New Algorithm for Modification of Structural Stiffness

提出结构刚度修改的一个新算法.该方法基于预条件共轭梯度法,易于辅助、能自适应地改进逼近精度,适用于设计变量的大变化(包括单元删除与几何变化),可用于一般的有限元系统.

An iterative method is presented for the modification of structural stiffness. The present method is a preconditioned conjugate gradientbased technique and is intended to utilize the existing stiffness matrix factorization developed for the initial design. It can preserve the ease of implementation and improve significantly the quality of the results. In particular, the method can adaptively monitor the accuracy of approximate solutions. The method is suitable for general finite element systems. The computational cost is significantly reduced. It has been validated by numerical examples that the proposed reanalysis method can achieve excellent approximate results for large changes in crosssections and in structural geometry.