Sparse matrix factor modification in structural reanalysis
作者:
Kincho H. Law,
期刊:
International Journal for Numerical Methods in Engineering
(WILEY Available online 1985)
卷期:
Volume 21,
issue 1
页码: 37-63
ISSN:0029-5981
年代: 1985
DOI:10.1002/nme.1620210106
出版商: John Wiley&Sons, Ltd
数据来源: WILEY
摘要:
AbstractStructural reanalysis problems, such as in nonlinear finite element analysis or optimum design, involve progressive changes in the global stiffness matrix and its matrix factors. Although many studies have been devoted to the subject of matrix factor modification, most investigations have dealt with the problem separately from sparse matrix methods. This paper introduces a graph‐theoretic model for the forward solution procedure which is applicable for identifying the modified entries of the matrix factors due to changes in the original matrix. Applications of this graph‐theoretic model to existing refactorization methods are presented. The relation between substructuring and sparse matrix ordering strategies, and their effects on reanalysis are discussed. Modification of a sparse matrix associated with an n × n finite element grid ordered by the nested dissection scheme is anal
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