Finite element model updating based on eigenvalue and strain energy residuals using multiobjective optimisation technique

Mechanical Systems and Signal Processing

Volumn 21, Issue 5, 2007, Pages 2295-2317

  Jaishi, Bijaya ^a   Ren, Wei Xin ^a  

^a CENTRAL SOUTH UNIVERSITY   (China)

Author keywords

Eigenfrequency; Finite element; Modal expansion; Modal strain energy; Model updating; Objective function; Structural dynamics; Vibration test

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MODAL ANALYSIS; OPTIMIZATION; STRAIN RATE;

MODAL EXPANSION; MODAL STRAIN ENERGY; MODEL UPDATING; OBJECTIVE FUNCTIONS; VIBRATION TESTS;

STRUCTURAL DYNAMICS;

EID: 34047256283     PISSN: 08883270     EISSN: 10961216     Source Type: Journal    
DOI: 10.1016/j.ymssp.2006.09.008     Document Type: Article

References (44)

1. Mottershead J.E., and Friswell M.I. Model updating in structural dynamics: A survey. Journal of Sound and Vibration 167 2 (1993) 347-375
2. Friswell M.I., and Mottershead J.E. Finite Element Model Updating in Structural Dynamics (1995), Kluwer Academic Publishers, Dordrecht
3. Maia N.M.M., and Silva J.M.M. Theoretical and Experimental Modal Analysis (1997), Research Studies Press Ltd., Somerset
4. M. Link, Updating of analytical models- review of numerical procedures and application aspects, Structural Dynamics Forum SD2000, Los Alamos, 1999.
5. A. Berman, Validity of improved mathematical models, a commentary, The 16th International Modal Analysis Conference, Santa Babara, 1998, pp. 681-691.
6. F.M. Hemez, Can model updating tell the truth? The 16th International Modal Analysis Conference, Santa Babara, 1998 pp. 1-17.
7. Berman A., and Nagy E.J. Improvement of large analytical model using test data. AIAA Journal 21 8 (1983) 1168-1173
8. Baruch M., and Bar-Itzhack I.Y. Optimal weighted orthogonalization of measured modes. AIAA Journal 16 4 (1978) 346-351
9. Ren W.X., Peng X.L., and Lin Y.Q. Experimental and analytical studies on dynamic characteristics of a large span cable-stayed bridge. Engineering Structures 27 4 (2005) 535-548
10. Ren W.X., and Zong Z.H. Experimental modal parameter identification of civil engineering structures. Structural Engineering and Mechanics 17 3-4 (2004) 429-444
11. Ren W.X., Zhao T., and Harik I.E. Experimental and analytical modal analysis of a steel arch bridge. Journal of Structural Engineering, ASCE 120 7 (2004) 1022-1031
12. Jaishi B., Ren W.X., Zong Z.H., and Maskey P.N. Dynamic and seismic performance of old multi-tiered temples in Nepal. Engineering Structures V25 14 (2003) 1827-1839
13. Fritzen C.-P., Jennewein D., and Kiefer T. Damage detection based on model updating methods. Mechanical Systems and Signal Processing 12 1 (1998) 163-186
14. Atalla M.J., and Inman D.J. On model updating using neural networks. Mechanical Systems and Signal Processing 12 1 (1998) 135-161
15. Jaishi B., and Ren W.X. Structural finite element model updating using ambient vibration test results. Journal of Structural Engineering, ASCE 131 4 (2005) 617-628
16. Jaishi B., and Ren W.X. Damage detection by finite element model updating using modal flexibility residual. Journal of Sound and Vibration 290 1-2 (1996) 369-387
17. Gentile C., and y Cabrera F.M. Dynamic assessment of a curved cable-stayed bridge at the Malpensa 2000 Airport, Milan, Italy. Structral Engneering International 11 1 (2001) 52-58
18. Lim T.W., and Kashangaki T.A.L. Structural damage detection of space truss structures using best achievable eigenvectors. AIAA Journal 32 5 (1994) 1049-1057
19. Doebling S.W., Hemez F.M., Peterson L.D., and Farhat C. Improved damage location accuracy using strain energy based on mode selection criteria. AIAA Journal 35 4 (1997) 693-699
20. Stubbs N., and Kim J.T. Damage localization in structures without base-line modal parameters. AIAA Journal 34 8 (1996) 1644-1649
21. Shi Z.Y., and Law S.S. Structural damage localization from modal strain energy change. Journal of Sound and Vibration 218 5 (1998) 825-844
22. Shi Z.Y., Law S.S., and Zhang L.M. Structural damage detection from modal strain energy change. Journal of Engineering Mechnical ASCE 126 12 (2000) 1216-1223
23. S.A. Karamanos, C. Papadimitriou, C.Z. Karakostas, V.A. Lekidis, P. Panetsos, Multi-objective framework for model updating with application to a four-span concrete bridge, The First European Workshop on Structural Health Monitoring, Munich, Germany, 2004.
24. H.H. Müller-Slany, Model updating a multicriteria optimisation process in mechanics, XXI ICTAM, Warsaw, Poland, 2004.
25. F.W. Gembicki, Vector optimisation for control with performance and parameter sensitivity indices, Ph.D. Dissertation, Case Western Reserve Univ., Cleveland, Ohio, 1974.
26. Mottershead J.E., and Foster C.D. On the treatment of ill-conditioning in spatial parameter estimation from measured vibration data. Mechanical Systems and Signal Processing 5 2 (1991) 139-154
27. Ahmadian H., Mottershead J.E., and Friswell M.I. Regularisation methods for finite element model updating. Mechanical Systems and Signal Processing 12 1 (1998) 47-64
28. Tikhonov A.N. Regularization of incorrectly posed problems. Soviet Mathematics 4 (1963) 1624-1627
29. Zadeh L.A. Optimality and non scalar valued performance criteria. IEEE Transactions on Automatic Control, Vol. AC- 8 (1963) 1
30. Censor Y. Pareto optimality in multiobjective problems. Applied Mathmatics Optimisation 4 (1977) 41-59
31. Dantzig G. Linear Programming and Extensions (1963), Princeton University Press, Princeton, NJ
32. Brayton R.K., Director S.W., Hachtel G.D., and Vidigal L. A new algorithm for statistical circuit design based on quasi-Newton methods and function splitting. IEEE Transactions on Circuits and Systems 1CAS-26 (1979) 784-794
33. Allemang R.J., and Brown D.L. A correlation coefficient for modal vector analysis. The First International Modal Analysis Conference, Orlando, FL (1982) 110-116
34. Lipkins J., and Vandeurzen U. The use of smoothing techniques for structural modification applications. Twelfth International Seminar on Modal Analysis S1-3 (1987)
35. The Mathworks, Inc. Matlab release 5, Natick, MA, USA, 1996.
36. Fox R.L., and Kapoor M.P. Rates of change of eigenvalues and eigenvectors. AIAA Journal 6 (1968) 2426-2429
37. Jaishi B., and Ren W.X. MBMAT-Matlab based modal analysis toolbox (2003), Department of Civil Engineering, Fuzhou University, China
38. JTJ023, Design code for reinforced concrete and prestressed concrete bridges and culverts for highways. Design Institute of Highway Layout, Approved by the Department of Transportation, PR China, 1985.
39. De Roeck G., and Peeters B. MACEC2.0-Modal analysis on civil engineering constructions (1999), Department of Civil Engineering, Catholic University of Leuven, Belgium
40. B. Peeters, System identification and damage detection in civil engineering, Ph.D. thesis, Department of Civil Engineering, K.U. Leuven, Belgium, 2000.
41. Van Overschee P., and De Moor B. Subspace Identification for Linear Systems: Theory, Implementation and Applications (1996), Kluwer Academic Publishers, Dordrecht, Netherlands
42. Zapico J.L., Gonzalez M.P., Friswell M.I., Taylor C.A., and Crewe A.J. Finite element model updating of small scale bridge. Journal of Sound and Vibration, 268 (2003) 993-1012
43. Zhang Q.W., Chang C.C., and Chang T.Y.P. Finite element model updating for structures with parametric constraints. Earthquake Engineering Structural Dynamics 29 (2000) 927-944
44. Zhang Q.W., Chang C.C., and Chang T.Y.P. Finite element model updating for the Kap Shui Mun cable stayed bridge. Journal of Bridge Engineering, ASCE 6 4 (2001) 229-285