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Method of Updating the Cholesky Factorization for Structural Reanalysis with Added Degrees of Freedom
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.
Method of Updating the Cholesky Factorization for Structural Reanalysis with Added Degrees of Freedom
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.
Method of Updating the Cholesky Factorization for Structural Reanalysis with Added Degrees of Freedom
Liu, H. F. (author) / Wu, B. S. (author) / Li, Z. G. (author)
Journal of Engineering Mechanics ; 140 ; 384-392
2013-05-04
92014-01-01 pages
Article (Journal)
Electronic Resource
Unknown
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