Method of Updating the Cholesky Factorization for Structural Reanalysis with Added Degrees of Freedom
Publication: Journal of Engineering Mechanics
Volume 140, Issue 2
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.
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Acknowledgments
The work was partially supported by the National Natural Science Foundation of China (Grant Nos. 11072085 and 51005096) and the Fundamental Research Funds for the Central Universities.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 140 • Issue 2 • February 2014
Pages: 384 - 392
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Oct 26, 2012
Accepted: May 2, 2013
Published online: May 4, 2013
Published in print: Feb 1, 2014
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