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TECHNICAL PAPERS

Structural Damage Detection Using Linear Matrix Inequality Methods

[+] Author and Article Information
M. O. Abdalla, K. M. Grigoriadis, D. C. Zimmerman

Department of Mechanical Engineering, University of Houston, Houston, TX 77204-4792

J. Vib. Acoust 122(4), 448-455 (Mar 01, 2000) (8 pages) doi:10.1115/1.1287029 History: Received July 01, 1998; Revised March 01, 2000
Copyright © 2000 by ASME
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References

Pandey,  A., Biswas,  M., and Samman,  M., 1991, “Damage Detection from Changes in Mode Shapes,” J. Sound Vib., 145, pp. 321–332.
Hajela,  P., and Soeiro,  F., 1991, “Structural Damage Detection Based on Static and Modal Analysis,” AIAA J., 28, pp. 1110–1116.
Agbabian,  M., Masri,  S., Miller,  R., and Caughey,  T., 1991, “System Identification Approach to Detection of Structural Changes,” ASCE J. Eng. Mech., 117, pp. 370–390.
Yuen,  M., 1985, “A Numerical Study of the Eigen-parameters of a Damaged Catilevered Beam,” J. Sound Vib., 103, pp. 301–310.
Cawley,  P., and Ray,  R., 1988, “A Comparison of the Natural Frequency Changes Produced by Cracks and Slots,” ASME J. Vib., Acoust., Stress, Reliab. Des., 110, pp. 366–370.
Ismail,  F., Ibrahim,  A., and Martin,  H., 1990, “Identification of Fatigue Cracks from Vibration Testing,” J. Sound Vib., 140, pp. 305–317.
Chondros,  T., and Dimarongonas,  A., 1989, “Dynamic Sensitivity of Structures to Cracks,” ASME J. Vib., Acoust., Stress, Reliab. Des., 111, pp. 251–256.
Baruch,  M., and Bar Itzhack,  I. Y., 1978, “Optimum Weighted Orthogonalization of Measured Modes.” AIAA J., 16, No. 4, pp. 346–351.
Zimmerman, D., and Smith, S. W., 1992, “Model Refinement and Damage Location for Intelligent Structures,” Intelligent Structural Systems, Tzou, H. S., and Anderson, G. L., eds., Kluwer Academic, Dordrecht, pp. 403–452.
Doeblin, S. W., Farrar, C. R., Prime, M. B., and Sheritz, D. W., “Damage Identification and Health Monitoring of Structural and Mechanical Systems from Changes in their Vibration Characteristics: A Literature Review,” Los Alamos Report LA-13070-MS, NM, 1996.
Mottershead,  J. E., and Friswell,  M. I., 1993, “Model Updating in Structural Dynamics: A Survey,” J. Sound Vib., 167, No. 2, pp. 347–375.
Kabe,  A., 1985, “Stiffness Matrix Adjustment Using Mode Data,” AIAA J., 23, No. 9, pp. 1431–1436.
Kammer,  D., 1988, “Optimum Approximation for Residual Stiffness in Linear Systems Identification,” AIAA J., 26, No. 1, pp. 104–112.
Smith, S., and Beattie, C., 1993, “Simultaneous Expansion and Orthogonalization of Measured Modes for Structural Identification,” Proc. of the AIAA Dynamic Specialist Conference, Long Beach, CA, pp. 261–270.
Smith, S., 1992, “Iterative Use of Direct Matrix Updates: Connectivity and Convergence,” Proc. of the 33rd AIAA Structures, Structural Dynamics and Materials Conference, pp. 1797–1806.
Abdalla,  M., Grigoriadis,  K. M., and Zimmerman,  D., 1998, “Enhanced Damage Detection Using Alternating Projections,” AIAA J., 36, No. 2, pp. 1305–1311.
Zimmerman, D., and Santos, J., 1996, “Structural Damage Detection Using Minimum Rank Update Theory and Parameter Estimation,” AIAA/ASME/AHS Adaptive Structures Forum, pp. 168–175.
Hemez,  F., and Farhat,  C., 1993, “Locating and Identifying Structural Damage Using a Sensitivity-Based Model Updating Methodology,” AIAA J., 31, No. 12, pp. 2648–2653.
Zimmerman, D., Yap, K., and Hasselman, T., 1997, “Evolutionary Approach for Model Refinement,” Proc. 15th International Modal Analysis Conference, Orlando, FL, pp. 551–557.
Zimmerman,  D., and Kaouk,  M., 1992, “Eigenstructure Assignment Approach for Structural Damage Detection,” AIAA J., 30, No. 7, pp. 1848–1855.
Kaouk,  M., and Zimmerman,  D., 1994, “Structural Damage Assessment Using a Generalized Minimum Rank Perturbation Theory,” AIAA J., 32, No. 4, pp. 836–842.
Zimmerman,  D., and Kaouk,  M., 1994, “Structural Damage Detection Using a Minimum Rank Update Theory,” ASME J. Vibr. Acoust., 116, pp. 222–231.
Zimmerman,  D., Kaouk,  M., and Simmermacher,  T., 1995, “Structural Health Monitoring Using Vibration Measurements and Engineering Insight,” Trans. ASME, Special 50th Anniversary Issue, 117, pp. 214–221.
Boyd, S., El Ghaoui, L., Feron, E., and Balakrishnan, V., 1994, Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelphia.
Grigoriadis,  K., and Skelton,  R., 1996, “Low-order Control Design for LMI Problems Using Alternating Projection Methods,” Automatica, 32, No. 8, pp. 1117–1125.
Gahinet, P., Nemirovski, A., Laub, A., and Chilali, M., 1995, LMI Control Toolbox, The MATHWORKS Inc.
Pappa,  R. S., James ,  G. H., and Zimmerman,  D. C., 1998, “Autonomous Modal Identification of the Space Shuttle Tail Rudder,” AIAA J. Spacecraft Rockets, 35, No. 2, pp. 163–169.
Imregun, M., and Ewins, D. J., “An Investigation into Mode Shape Expansion Techniques,” Proc. 11th International Modal Analysis Conference, Kissimmee, FL, pp. 168–175.

Figures

Grahic Jump Location
Matrix update, two measured modes with 0 percent noise
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Matrix update, nine measured modes with 3 percent noise
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Matrix update, nine measured modes with 5 percent noise
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Matrix update, five measured modes with 3 percent noise
Grahic Jump Location
Matrix update, five measured modes with 5 percent noise
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Parameter update, two measured modes with 0 percent noise
Grahic Jump Location
Parameter update, nine measured modes with 3 percent noise
Grahic Jump Location
Parameter update, nine measured modes with 5 percent noise
Grahic Jump Location
Parameter update, five measured modes with 3 percent noise
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Parameter update, five measured modes with 5 percent noise
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Cantilevered beam test-bed
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Experimental setup at DSCL
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Matrix update, stiffness matrix perturbation ΔK
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Elemental stiffness reductions from LMI parameter update
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Stiffness matrix perturbation ΔK

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