Identification of linear structural systems with a limited set of input-output measurements

Journal of Applied Mechanics, Transactions ASME

Volumn 76, Issue 3, 2009, Pages 1-10

  Yu, Jun ^a   Imbimbo, Maura ^b   Betti, Raimondo ^c  

^a THORNTON TOMASETTI   (United States)

^b UNIVERSITY OF CASSINO AND SOUTHERN LAZIO   (Italy)

^c Department of Earth and Environmental Sciences   (United States)

Author keywords

Damage detection; Identification; Reduced order models

Indexed keywords

ACTUATOR LOCATION; EIGENVECTORS; IDENTIFICATION; INPUT-OUTPUT; LINEAR STRUCTURAL SYSTEMS; NONLINEAR LEAST-SQUARES OPTIMIZATION; NUMERICAL EXAMPLE; OUTPUT ERRORS; REDUCED ORDER MODELS; SECOND-ORDER MODELS; STIFFNESS MATRICES; TIME HISTORY;

DAMPING; DYNAMICAL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; INVERSE PROBLEMS; LOCATION; STIFFNESS; STIFFNESS MATRIX;

DAMAGE DETECTION;

EID: 77955204268     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.3002336     Document Type: Article

References (19)

1. Agbabian, M. S., Masri, S. F., Miller, R. K., and Caughey, T. K., 1991, "System Identification Approach to Detection of Structural Changes," J. Eng. Mech., 117(2), pp. 370-390.
2. Safak, E., 1989, "Adaptive Modelling, Identification, and Control of Dynamic Structural Systems. I: Theory," J. Eng. Mech. 115(11), pp. 2386-2405.
3. Safak, E., 1989, "Adaptive Modelling, Identification, and Control of Dynamic Structural Systems. II: Applications," J. Eng. Mech. 115(11), pp. 2406-2426.
4. Udwadia, F. E., 1994, "Methodology for Optimum Sensor Locations for Parameter Identification in Dynamic Systems," J. Eng. Mech., 120(2), pp. 368- 390.
5. Beck, J. L., and Katafygiotis, L. S., 1998, "Updating Models and Their Uncertainties. I: Bayesian Statistical Framework," J. Eng. Mech., 124(4), pp. 455-461.
6. Beck, J. L., and Katafygiotis, L. S., 1998, "Updating Models and Their Uncertainties. II: Modal Identifiability," J. Eng. Mech., 124(4), pp. 463-467.
7. Luş, H., Betti, R., and Longman, R. W., 1999, "Identification of Linear Structural Systems Using Earthquake-Induced Vibration Data," Earthquake Eng. Struct. Dyn., 28, pp. 1449-1467.
8. Alvin, K. F., and Park, K. C., 1994, "Second-Order Structural Identification Procedure Via State-Space: Based System Identification," AIAA J., 32(2), pp. 397-406.
9. Alvin, K. F., Peterson, L. D., and Park, K. C., 1995, "Method for Determining Minimum-Order Mass and Stiffness Matrices From Modal Test Data," AIAA J., 33(1), pp. 128-135.
10. Farhat, C., and Hemez, F. M., 1993, "Updating Finite Element Dynamic Models Using an Element-by-Element Sensitivity Methodology," AIAA J., 31(9), pp. 1702-1711.
11. Doebling, S. W., Hemez, F. M., Barlow, M. S., Petersonorse, L. D., and Farhat, C., 1993, "Damage Detection in a Suspended Scale Model Truss Via Modal Update," Proceedings of the 11th International Modal Analysis Conference, Society for Experimental Mechanics, pp. 1083-1094.
12. DeAngelis, M., Luş, H., Betti, R., and Longman, R. W., 2002, "Extracting Physical Parameters of Mechanical Models From Identified State Space Representations," ASME J. Appl. Mech., 69(5), pp. 617-625.
13. Luş, H., De Angelis, M., and Betti, R., 2003, "A New Approach for Reduced Order Modeling of Mechanical Systems Using Vibration Measurements," ASME J. Appl. Mech., 70(5), pp. 715-723.
14. Udwadia, F. E., and Sharma, D. K., 1978, "Some Uniqueness Results Related to Building Structural Identification," SIAM J. Appl. Math., 34(1), pp. 104- 108.
15. Udwadia, F. E., Sharma, D. K., and Shah, P. C., 1978, "Uniqueness of Damping and Stiffness Distributions in the Identification of Soil and Structural Systems," SIAM J. Appl. Math., 45(1), pp. 181-187.
16. Franco, G., Betti, R., and Longman, R. W., 2006, "On the Uniqueness of Solutions for the Identification of Linear Structural Systems," ASME J. Appl. Mech., 73(1), pp. 153-162.
17. Yu., J., 2004, "Identification of Structural Systems With Limited Set of Instrumentation," Ph.D. thesis, Columbia University, New York.
18. Sestieri, A., and Ibrahim, S. R., 1994, "Analysis of Errors and Approximations in the Use of Modal Co-Ordinates," J. Sound Vib., 177(2), pp. 145-157.
19. Luş, H., Betti, R., and Longman R. W. 2002, "Obtaining Refined First-Order Predictive Models of Linear Structural Systems," Earthquake Eng. Struct. Dyn. 31, pp. 1413-1440.