Dynamic condensation approach to the calculation of eigensensitivity

被引:20
作者
Weng, Shun [1 ]
Zhu, Ai-Zhu [1 ]
Zhu, Hong-Ping [1 ]
Xia, Yong [2 ]
Mao, Ling [1 ]
Li, Peng-Hui [1 ]
机构
[1] Huazhong Univ Sci & Technol, Sch Civil Engn & Mech, Wuhan 430074, Hubei, Peoples R China
[2] Hong Kong Polytech Univ, Dept Civil & Struct Engn, Kowloon, Hong Kong, Peoples R China
基金
中国国家自然科学基金;
关键词
Dynamic condensation; Eigensensitivity; Eigenvalue derivative; Eigenvector derivative; Large structure; ITERATED IRS METHOD; EIGENVECTOR DERIVATIVES; ORDER-REDUCTION; SUBSTRUCTURING METHOD; REPEATED EIGENVALUES; MODEL; EIGENSOLUTIONS; COMPUTATION; SCHEMES;
D O I
10.1016/j.compstruc.2013.10.012
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Calculation of the eigensensitivity of a large and complex structural system requires considerable computational resources and is time-consuming. This paper derives the eigenvalue and eigenvector derivatives of a structure based on a dynamic condensation technique. The eigensensitivity of a structure are computed by iteratively updating the derivatives of the condensed system matrices and a transformation matrix. As the condensed model is much smaller than the original full model, the proposed method is quite efficient in the calculation of the eigensensitivity. The accuracy and efficiency of the proposed method are verified by the GARTEUR structure and a cantilever plate. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码:55 / 64
页数:10
相关论文
共 30 条
[1]  
[Anonymous], 2007, NUMERICAL RECIPES
[2]   A METHOD FOR SELECTING MASTER DOF IN DYNAMIC SUBSTRUCTURING USING THE GUYAN CONDENSATION METHOD [J].
BOUHADDI, N ;
FILLOD, R .
COMPUTERS & STRUCTURES, 1992, 45 (5-6) :941-946
[3]   Civil structure condition assessment by FE model updating: methodology and case studies [J].
Brownjohn, JMW ;
Xia, PQ ;
Hao, H ;
Xia, Y .
FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2001, 37 (10) :761-775
[4]  
Callahan J O', 1989, 7 INT MOD AN C ORL F
[5]   Iterative method for dynamic condensation combined with substructuring scheme [J].
Choi, Dongsoo ;
Kim, Hyungi ;
Cho, Maenghyo .
JOURNAL OF SOUND AND VIBRATION, 2008, 317 (1-2) :199-218
[6]   Eigensensitivity computation of asymmetric damped systems using an algebraic approach [J].
Chouchane, Mnaouar ;
Guedria, Najeh ;
Smaoui, Hichem .
MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2007, 21 (07) :2761-2776
[7]   RATES OF CHANGE EIGENVALUES AND EIGENVECTORS [J].
FOX, RL ;
KAPOOR, MP .
AIAA JOURNAL, 1968, 6 (12) :2426-&
[8]   MODEL-REDUCTION USING DYNAMIC AND ITERATED IRS TECHNIQUES [J].
FRISWELL, MI ;
GARVEY, SD ;
PENNY, JET .
JOURNAL OF SOUND AND VIBRATION, 1995, 186 (02) :311-323
[9]   The convergence of the iterated IRS method [J].
Friswell, MI ;
Garvey, SD ;
Penny, JET .
JOURNAL OF SOUND AND VIBRATION, 1998, 211 (01) :123-132
[10]   RUDUCTION OF STIFFNESS AND MASS MATRICES [J].
GUYAN, RJ .
AIAA JOURNAL, 1965, 3 (02) :380-&