Inverse damage prediction in structures using nonlinear dynamic perturbation theory

被引:16
作者
Chen, HP [1 ]
Bicanic, N [1 ]
机构
[1] Univ Glasgow, Dept Civil Engn, Glasgow G12 8LT, Lanark, Scotland
关键词
inverse problems; sensitivity analysis; nonlinear dynamic perturbation; damage identification; finite element dynamic analysis;
D O I
10.1007/s00466-005-0717-y
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A non-linear perturbation theory which furnishes an exact relationship between the perturbation of structural parameters and the perturbation of modal parameters is presented. A system of governing equations is derived, where the information about incomplete modal data can be directly adopted. The Direct Iteration and the Gauss-Newton Least Squares techniques for an inverse prediction of structural damage are discussed, where both the location and the extent of structural damage can be correctly determined using only a limited amount of incomplete modal measurements data. Structural damage is assumed to be associated with a proportional reduction of the original element stiffness matrix or with a proportional reduction of the contribution of a Gauss point to the element stiffness matrix, which characterises a structure at an element level or at a Gauss point level. Finally, a damaged cantilever beam is considered using different model problems to demonstrate the effectiveness of the proposed techniques.
引用
收藏
页码:455 / 467
页数:13
相关论文
共 17 条
[1]  
Bicanic N, 1997, INT J NUMER METH ENG, V40, P4451, DOI 10.1002/(SICI)1097-0207(19971215)40:23<4451::AID-NME269>3.0.CO
[2]  
2-L
[3]   LOCATION OF DEFECTS IN STRUCTURES FROM MEASUREMENTS OF NATURAL FREQUENCIES [J].
CAWLEY, P ;
ADAMS, RD .
JOURNAL OF STRAIN ANALYSIS FOR ENGINEERING DESIGN, 1979, 14 (02) :49-57
[4]   Assessment of damage in continuum structures based on incomplete modal information [J].
Chen, HP ;
Bicanic, N .
COMPUTERS & STRUCTURES, 2000, 74 (05) :559-570
[5]   ON-ORBIT DAMAGE ASSESSMENT FOR LARGE SPACE STRUCTURES [J].
CHEN, JC ;
GARBA, JA .
AIAA JOURNAL, 1988, 26 (09) :1119-1126
[6]   UPDATING FINITE-ELEMENT DYNAMIC-MODELS USING AN ELEMENT-BY-ELEMENT SENSITIVITY METHODOLOGY [J].
FARHAT, C ;
HEMEZ, FM .
AIAA JOURNAL, 1993, 31 (09) :1702-1711
[7]   Identification of cracks and cavities using the topological sensitivity boundary integral equation [J].
Gallego, R ;
Rus, G .
COMPUTATIONAL MECHANICS, 2004, 33 (02) :154-163
[8]   STIFFNESS MATRIX ADJUSTMENT USING MODE DATA [J].
KABE, AM .
AIAA JOURNAL, 1985, 23 (09) :1431-1436
[9]   A HYBRID APPROACH TO TEST-ANALYSIS-MODEL DEVELOPMENT FOR LARGE SPACE STRUCTURES [J].
KAMMER, DC .
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 1991, 113 (03) :325-332
[10]  
NATKE HG, 1997, MODEL AIDED DIAGNOSI