Structural static reanalysis for modification of supports

被引：12

作者：

Liu, H. F. ^{[1
]}

Wu, B. S. ^{[2
]}

Li, Z. G. ^{[2
]}

Zheng, S. P. ^{[2
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Dept Math, Xian 710049, Peoples R China

[2] Jilin Univ, Sch Math, Dept Mech & Engn Sci, Changchun 130012, Peoples R China

来源：

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION | 2014年 / 50卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Structural static reanalysis; Modification of supports; Inclined supports; Rank-one decomposition; Sparse Cholesky factorization; OPTIMIZATION; ELEMENTS; ALGORITHM; MATRIX;

D O I：

10.1007/s00158-014-1063-5

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper is focused on structural static reanalysis problem with modification of supports. An efficient reanalysis method is proposed. The method is based on the introduction of the modified master stiffness matrices, the rank-one decomposition of the corresponding incremental stiffness matrix, and the sparse Cholesky rank-one update/downdate algorithm. Adding and deleting of supports with arbitrary orientations can be dealt with. Numerical examples show that exact results can be obtained by the proposed method, and the computational times can be significantly reduced in comparison with the direct analysis method.

引用

页码：425 / 435

页数：11

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