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- Title
Method of Updating the Cholesky Factorization for Structural Reanalysis with Added Degrees of Freedom.
- Authors
Liu, H. F.; Wu, B. S.; Li, Z. G.
- Abstract
This paper deals with structural static reanalysis with added degrees of freedom. An efficient reanalysis method is proposed. The Cholesky factorization of the stiffness matrix corresponding to the newly added degrees of freedom is completed first, and then the algorithm of updating the Cholesky factorization following a rank-one modification is employed to obtain the factorization of the stiffness matrix for the modified structure. The method preserves the ease of implementation. Numerical examples show that the calculated results of the proposed method are the same as those of direct analysis, while the computational times can be reduced significantly.
- Subjects
STRUCTURAL analysis (Engineering); DEGREES of freedom; FACTORIZATION; STATICS; STIFFNESS (Mechanics); NUMERICAL calculations
- Publication
Journal of Engineering Mechanics, 2014, Vol 140, Issue 2, p384
- ISSN
0733-9399
- Publication type
Article
- DOI
10.1061/(ASCE)EM.1943-7889.0000661