首页 | 本学科首页   官方微博 | 高级检索  
     


Fast exact linear and non‐linear structural reanalysis and the Sherman–Morrison–Woodbury formulas
Authors:Mehmet A. Akgü  n,John H. Garcelon,Raphael T. Haftka
Abstract:Several exact fast static structural reanalysis techniques, introduced by researchers mostly for truss structures and some for frames and plate structures, are reviewed. Most utilize the property that the solution of a system of linear equations can be updated inexpensively when the matrix is changed by a low‐rank increment. This paper shows that these methods are variants of the well‐known Sherman–Morrison and Woodbury (SMW) formulas for the update of the inverse of a matrix. In addition, the paper extends the low‐cost linear reanalysis in the spirit of the SMW formulas to some non‐linear reanalysis problems. For a linear reanalysis, the extension reduces to the SMW formulas. Copyright © 2001 John Wiley & Sons, Ltd.
Keywords:structural  reanalysis  non‐linear  Sherman–  Morrison–  Woodbury
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号