Modal analysis of linear asymmetric nonconservative systems

被引:44
作者
Adhikari, S [1 ]
机构
[1] Univ Cambridge, Dept Engn, Cambridge CB2 1PZ, England
来源
JOURNAL OF ENGINEERING MECHANICS-ASCE | 1999年 / 125卷 / 12期
关键词
D O I
10.1061/(ASCE)0733-9399(1999)125:12(1372)
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this work, classical modal analysis has been extended to treat lumped parameter asymmetric linear dynamic systems. In the presence of general nonconservative forces, the damping matrix is not simultaneously diagonalizable with the mass and stiffness matrices. The proposed method utilizes left and right eigenvectors of the second-order system and does not require conversion of the equations of motion into the first-order form. Left and right eigenvectors of the nonconservative system are derived in terms of the left and right eigenvectors of the corresponding conservative system using a Galerkin error minimization approach in conjunction with a Neumann expansion method. Transfer functions for the asymmetric nonconservative system are derived in terms of the left and right eigenvectors of the nonconservative system. Suitable numerical examples are given to illustrate the proposed method.
引用
收藏
页码:1372 / 1379
页数:8
相关论文
共 21 条
[1]  
Adhikari S, 1999, INT J NUMER METH ENG, V44, P1157, DOI 10.1002/(SICI)1097-0207(19990320)44:8<1157::AID-NME549>3.0.CO
[2]  
2-5
[3]   CLASSICAL NORMAL-MODES IN ASYMMETRIC NONCONSERVATIVE DYNAMIC-SYSTEMS [J].
AHMADIAN, M ;
INMAN, DJ .
AIAA JOURNAL, 1984, 22 (07) :1012-1015
[4]   CLASSICAL NORMAL MODES IN DAMPED LINEAR DYNAMIC SYSTEMS [J].
CAUGHEY, TK ;
OKELLY, MEJ .
JOURNAL OF APPLIED MECHANICS, 1965, 32 (03) :583-&
[5]   COMPLEX-MODES AND SOLVABILITY OF NONCLASSICAL LINEAR-SYSTEMS [J].
CAUGHEY, TK ;
MA, F .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1993, 60 (01) :26-28
[6]   EIGENVALUE AND EIGENVECTOR DETERMINATION FOR NONCLASSICALLY DAMPED DYNAMIC-SYSTEMS [J].
CRONIN, DL .
COMPUTERS & STRUCTURES, 1990, 36 (01) :133-138
[7]   DYNAMICS OF LINEAR NON-CONSERVATIVE SYSTEMS [J].
FAWZY, I ;
BISHOP, RED .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1976, 352 (1668) :25-40
[8]  
HUSEYIN K, 1978, VIBRATION STABILITY
[9]   DYNAMICS OF ASYMMETRIC NON-CONSERVATIVE SYSTEMS [J].
INMAN, DJ .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1983, 50 (01) :199-203
[10]  
Lancaster P., 1966, LAMBDA MATRICES VIBR