The Cholesky rank-one update/downdate algorithm for static reanalysis with modifications of support constraints

被引:0
作者
Liu, Haifeng [1 ]
Zhu, Jihua [2 ]
Li, Mingming [3 ]
机构
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
[2] Xi An Jiao Tong Univ, Sch Software Engn, Xian 710049, Peoples R China
[3] Jilin Univ, Network Ctr, Changchun 130025, Peoples R China
关键词
structural reanalysis; stiffness matrix; support constraints; Cholesky factorization; computational cost; OPTIMIZATION; ELEMENTS;
D O I
10.12989/sem.2017.62.3.297
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
Structural reanalysis is frequently utilized to reduce the computational cost so that the process of design or optimization can be accelerated. The supports can be regarded as the design variables and may be modified in various types of structural optimization problems. The location, number, and type of supports can make a great impact on the performance of the structure. This paper presents a unified method for structural static reanalysis with imposition or relaxation of some support constraints. The information from the initial analysis has been fully utilized and the computational time can be significantly reduced. Numerical examples are used to validate the effectiveness of the proposed method.
引用
收藏
页码:297 / 302
页数:6
相关论文
共 19 条
[1]  
ABUKASSIM AM, 1987, J STRUCT ENG-ASCE, V113, P1029
[2]  
[Anonymous], 2013, MATRIX COMPUTATIONS
[3]  
Davis T. A., 2006, DIRECT METHODS SPARS
[4]   An improved adaptive constraint aggregation for integrated layout and topology optimization [J].
Gao Huan-Huan ;
Zhu Ji-Hong ;
Zhang Wei-Hong ;
Zhou Ying .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2015, 289 :387-408
[5]  
GILL PE, 1974, MATH COMPUT, V28, P505, DOI 10.1090/S0025-5718-1974-0343558-6
[6]   Mass optimization of four bar linkage using genetic algorithms with dual bending and buckling constraints [J].
Hassan, M. R. A. ;
Azid, I. A. ;
Ramasamy, M. ;
Kadesan, J. ;
Seetharamu, K. N. ;
Kwan, A. S. K. ;
Arunasalam, P. .
STRUCTURAL ENGINEERING AND MECHANICS, 2010, 35 (01) :83-98
[7]  
Kirsch U, 2008, SOLID MECH APPL, V151, P1
[8]  
Kozikowska A, 2011, J THEOR APP MECH-POL, V49, P1079
[9]   Applications of a reduction method for reanalysis to nonlinear dynamic analysis of framed structures [J].
Leu, LJ ;
Tsou, CH .
COMPUTATIONAL MECHANICS, 2000, 26 (05) :497-505
[10]   Structural static reanalysis for modification of supports [J].
Liu, H. F. ;
Wu, B. S. ;
Li, Z. G. ;
Zheng, S. P. .
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2014, 50 (03) :425-435