A direct method for model updating with incomplete measured data and without spurious modes

Mechanical Systems and Signal Processing

Volumn 21, Issue 7, 2007, Pages 2715-2731

  Carvalho, Joao ^a   Datta, Biswa N ^b   Gupta, Abhijit ^b   Lagadapati, Maitreya ^b  

^a FEDERAL UNIVERSITY OF RIO GRANDE DO SUL   (Brazil)

^b NORTHERN ILLINOIS UNIVERSITY   (United States)

Author keywords

Direct methods for matrix updating; Incomplete measured data handling; Without spurious modes

Indexed keywords

ALGORITHMS; DATA HANDLING; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; MODAL ANALYSIS; SPURIOUS SIGNAL NOISE;

ANALYTICAL MASS MATRIX; FINITE ELEMENT MATRIX; SPURIOUS MODES;

FINITE ELEMENT METHOD;

EID: 34548012391     PISSN: 08883270     EISSN: 10961216     Source Type: Journal    
DOI: 10.1016/j.ymssp.2007.03.001     Document Type: Article

References (45)

1. Carvalho J., Datta B.N., Gupta A., and Lagadapati M. Finite element model updating. a close look at the computational aspects of direct methods. Proceedings of 24th International Modal Analysis Conference (2006) 1-13
2. Kim H.M., Bartkowicz T.J., Smith S.W., and Zimmerman D.C. Structural health monitoring of large structures. Proceedings of the 49th Meeting of the Society of Machinery Failure Prevention Technology (1995) 403-412
3. Kim H.M., and Bartkowicz T.J. Damage detection and health monitoring of large space structures. Journal of Sound and Vibration 27 6 (1993) 12-17
4. Jaishi B., and Ren W.-X. Damage detection by finite element model updating using modal flexibility residual. Journal of Sound and Vibration 290 (2006) 369-387
5. Datta B.N., Elhay S., and Ram Y. Orthogonality and partial pole assignment for the quadratic pencil. Linear Algebra and its Application 257 (1997) 29-48
6. Datta B.N., and Sarkissian D.R. Feedback control in distributed parameter systems: a solution of the partial eigenvalue assignment problem. Mechanical Systems and Signal Processing 16 1 (2001) 3-17
7. Datta B.N., and Sarkission D. Theory and computations of some inverse eigenvalue problems for the quadratic pencil. Contemporary Mathematics 280 (2001) 221-240
8. Ram Y.M., and Elhay S. Pole assignment in vibratory systems by multi-input control. Journal of Sound and Vibration 230 (2000) 309-321
9. Friswell M.I., and Mottershed J.E. Finite Element Model Updating in Structural Dynamics (1995), Kluwer Academic Publishers, Boston, Dordrecht, London
10. Baruch M., and Bar-Itzhack I.Y. Optimal weighted orthogonalization of measured modes. AIAA Journal 16 4 (1998) 346-351
11. Baruch M. Optimization procedure to correct stiffness and flexibility matrices using vibration data. AIAA Journal 16 11 (1978) 1208-1210
12. Berman A., and Nagy E.G. Improvement of large analytical model using test data. AIAA Journal 21 8 (1983) 1168-1173
13. Berman A. Inherently incomplete finite element model and its effects on model updating. AIAA Journal 38 11 (2000) 2142-2146
14. Halevi Y., and Bucher I. Model updating via weighted reference basis with connectivity constraints. Journal of Sound and Vibration 265 3 (2003) 561-581
15. Bucher I., and Braun S. The structural modification inverse problem: an exact solution. Mechanical Systems and Signal Processing 7 (1993) 217-238
16. Kabe A.M. Stiffness matrix adjustment using modal data. AIAA Journal 23 9 (1985) 1431-1436
17. Kammer D.C. Optimum approximation for residual stiffness in linear system identification. AIAA Journal 26 1 (1988) 104-112
18. Kenigsbuch R., and Halevi Y. Model updating in structural dynamics: a generalised reference basis approach. Mechanical Systems and Signal Processing 12 1 (1998) 75-90
19. Pascual R., Golinval J.C., and Razeto M. Model updating using operating deflection shapes. Proceedings of 16th International Modal Analysis Conference (1998) 12-18
20. Moller P.W., and Friberg O. Updating large finite element models in structural dynamics. AIAA Journal 36 10 (1998) 1861-1868
21. Caesar B. Updating system matrices using modal test data. Fifth International Modal Analysis Conference. London, England (April 1987) 453-459
22. Inman D.J., and Minas C. Matching analytical models with experimental modal data in mechanical systems. In: Leondes C.T. (Ed). Control and Dynamic Systems: Advances in Industrial Systems (1990), Academic Press, New York, NY 327-363
23. Beattie C.A., and Smith S.W. Optimal matrix approximants in structural identification. Journal of Optimization Theory and Applications 74 1 (1992) 23-56
24. Wei F.-S. Structural dynamic model modification using vibration test data. AIAA Journal 28 1 (1990) 175-177
25. Datta B.N. Finite element model updating, eigenstructure assignment and eigenvalue embedding techniques for vibrating systems. Mechanical Systems and Signal Processing 16 1 (2001) 83-96 (special issue on Vibration Control)
26. Mottershead J.E., and Friswell M.I. Model updating in structural dynamics: a survey. Journal of Sound and Vibration 167 2 (1993) 347-375
27. Link M. Updating analytical models by using local and global parameters and relaxed optimization requirements. Mechanical Systems and Signal Processing 12 1 (1998) 7-22
28. Zimmerman D.C., and Windengren M. Correcting finite element models using a symmetric eigenstructure assignment technique. AIAA Journal 28 (1990) 1670-1676
29. Ewins D.J. Adjustment or updating of models. Sadhana 25 (2000) 235-245
30. Link M. Updating of analytical models-basic procedures and extensions. In: Silva J.M.M., and Maia N.M.M. (Eds). Modal Analysis and Testing, Nato Science Series (1999), Kluwer Academic Publication, Dordrecht
31. Friswell M.I., Inman D.J., and Pilkey D.F. The direct updating of damping and stiffness matrices. AIAA Journal 36 3 (1998) 491-493
32. Y.C. Kuo, W.W. Lin, S.F. Xu, A new model updating method for quadratic eigenvalue problem, Preprint (available at 〈http://math.cts.nthu.edu.tw/mathematics/Preprints/Prep2005-1-004-050221.pdf〉).
33. Kammer D.C. Correlation considerations-Part 2, Model reduction using modal SEREP and Hybrid. Proceedings of 16th International Modal Analysis Conference (1998) 177-184
34. Hemez F., and Farhat C. Updating finite element dynamic model using an element-by-element sensitivity methodology. AIAA Journal 31 (1993) 1702-1711
35. J. Carvalho, State-estimation and Finite-element model updating for vibrating systems, Ph.D. Dissertation, Northern Illinois University, DeKalb, IL, 2002 (available at 〈www.math.edu/∼dattab〉).
36. Balmes E. Sensors, degrees of freedom, and generalized modeshape expansion methods. Proceedings of 17th International Modal Analysis Conference (1999) 626-634
37. Carvalho J., Datta B.N., Lin W., and Wang C. Symmetry preserving eigenvalue embedding in finite element model updating of vibration structures. Journal of Sound and Vibration 290 (2006) 839-864
38. Datta B.N. Numerical Linear Algebra and Applications (1995), Brooks/Cole Publishing Company, Pacific Grove
39. Datta B.N. Numerical Methods for Linear Control Systems Design and Analysis (2003), Elsevier Academic Press, Boston
40. Golub G.H., and Van Loan C.F. Matrix Computations. third ed. (1996), Johns Hopkins University Press, Baltimore and London
41. Antoulas A.C. Lectures on Approximations of Large-scale Dynamical Systems (2005), SIAM, Philadelphia, PA
42. Gallivan K., Grimme E.J., and Van Dooren P. A rational Lanczos algorithm for model reduction. Numerical Algorithms 12 (1996) 33-63
43. Deiters T.A., and Smith K.S. Faster, easier finite element model reduction. Proceedings of 17th International Modal Analysis Conference (1999) 922-928
44. M. Chu, B.N. Datta, W.W. Lin, S. Xu, The spill-over phenomenon in quadratic model updating, SIAM Journal of Matrix Analysis Applications, submitted for publication.
45. Lipkens J., and Vandeurzen U. The use of smoothing techniques for structural modification applications. Proceedings of Sixth International Modal Analysis Conference (1987) 1048-1052