弹性接触问题的常刚度迭代方法及其加速

An Accelerated Iterative Procedure with Constant Stiffness for the Analysis of Elastic Contact Problems

通过引入接触间隙荷载 ,在荷载项中反映接触状态变化的影响 ,避免了重新形成接触刚度矩阵 ,构造了弹性接触问题的常刚度迭代格式。然后借助于不动点迭代的Steffensen加速技术给出了一种求解弹性接触问题的常刚度迭代加速算法。文中最后给出两个算例表明了本文方法的有效性。

A gap load was used in the analysis of elastic contact problems to indicate the change of contact state. In the study, the re forming of stiffness matrix was avoided and an iterative procedure with constant stiffness was presented. Furthermore, using Steffensen technology for fix point iteration, an acceleration algorithm was carried out. In the end of this paper, some numerical examples illustrated the effectiveness of the presented method.