Structural Damage Identification using Modal Data. I: Simulation Verification
Publication: Journal of Structural Engineering
Volume 128, Issue 1
Abstract
The change of modal characteristics directly provides an indication of structural damage. Based on changes in frequencies and mode shapes of vibration, a damage identification technique is proposed in this paper for predicting damage location and severity. The method is applied at an element level with a conventional finite-element model. The element damage equations have been established through the eigenvalue equations that characterize the dynamic behavior. Several solution techniques are discussed and compared. The influence of simulated noise in the modal data is also presented. The method has been verified by a number of damage scenarios for simulated beams and has found the exact location and severity of damage. It is demonstrated that multiplying the damaged eigenvalue equations with the undamaged or damaged mode shapes provides more equations and guarantees the damage localization. The resulting equations, however, become more sensitive to the deviation of modal data and the direct solution often yields poor results. Numerical results show that the non-negative least-squares method can lead to satisfactory results in most cases. A regularization algorithm with error-based truncation is necessary to ensure the right solutions.
Get full access to this article
View all available purchase options and get full access to this article.
References
ANSYS® (1994). User’s manual, revision 5.3. Swanson Analysis System.
Araujo dos Santos, J. V., Mota Soares, C. M., Mota Soares, and C. A., and Pina, H. L. G. (1998). “Development of a numerical model for the damage identification on composite plate structures.” Proc. 2nd Int. Conf. on Composite Science and Technology, Durban, South Africa, 476–483.
Casas, J. R., and Aparicio, A. C.(1994). “Structural damage identification from dynamic-test data.” J. Struct. Eng. (India), 120(8), 2437–2450.
Chen, H. L., Spyrakos, C. C., and Venkatesh, G.(1995). “Evaluating structural deterioration by dynamic response.” J. Struct. Eng. (India), 121(8), 1197–1204.
Cornwell, P., Doebling, S. W., and Farrar, C. R.(1997). “Application of the strain energy damage detection method to plate-like structures.” Proc. IMAC15, 15th Int. Modal Analysis Conf., Orlando, Florida, 1312–1318.
Doebling, S. W., Farrar, C. R., Prime, M. B., and Shevitz, D. W. (1996). “Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: A literature review.” Research Rep. No. LA-13070-MS, ESA-EA, Los Alamos National Laboratory, N.M.
Fritzen, C. P., Jennewein, D., and Kiefer, T.(1998). “Damage detection based on model updating methods.” Mech. Syst. Signal Process., 12(1), 163–186.
Hearn, G., and Testa, R. B.(1991). “Modal analysis for damage detection in structures.” J. Struct. Eng. (India), 117(10), 3042–3063.
Juneja, Y., Haftka, R. T., and Cudney, H. H.(1997). “Damage detection and damage detectability—Analysis and experiments.” J. Aerosp. Eng., 10(4), 135–142.
Lawson, C. L., and Hanson, R. J. (1974). Solving Least Squares Problems. Prentice-Hall, Englewood Clifs, N.J.
Liu, P. L.(1995). “Identification and damage detection of trusses using modal data.” J. Struct. Eng. (India), 121(4), 599–608.
MATLAB® (1998). Using MATLAB, revision 5.2. The Mathworks Inc., Natick, MA.
Mazurek, D. F., and Dewolf, J. T.(1990). “Experimental study of bridge monitoring technique.” J. Struct. Eng. (India), 116(9), 2532–2549.
Pandey, A. K., Biswas, M., and Samman, M. M.(1991). “Damage detection from changes in curvature mode shapes.” J. Sound Vib., 145, 321–332.
Pandey, A. K., and Biswas, M.(1994). “Damage detection in structures using changes in flexibility.” J. Sound Vib., 169(1), 3–17.
Ren, W. X., De Roeck, D., and Harik, I. E. (2000). “Singular value decomposition based truncation algorithm in structural damage identification through modal data.” Proc., 14th Engineering Mechanics Conf., 21–24, May Austin, Tex. http://www.ce.utexas.edu/em2000/
Ren, W. X., and De Roeck, G. (2001). “Structural damage identification using modal data. II: Test verification.” J. Struct. Eng. (India) (submitted).
Salawu, O. S.(1997). “Detection of structural damage through changes in frequency: A review.” Eng. Struct., 19(9), 718–723.
Stubbs, N., Sikorsky, C., Park, S., Choi, S., and Bolton, R. (1999). “A methodology to nondestructively evaluate the structural properties of bridges.” Proc. IMAC17, the 17th Int. Modal Analysis Conf., Kissimmee, Fla. 1260–1268.
Williams, E. J., Messina, A., and Payne, B. S. (1997). “A frequency-change correlation approach to damage detection.” Proc. IMAC15, 15th Int. Modal Analysis Conf., Orlando, Fla., 652–657.
Yu, L., Law, S. S., Link, M., and Zhang, L. M. (1999). “Damage detection in bolted joint structures using element contribution on modal strain energy.” Identification in Engineering System, Proc., 2nd Int. Conf., Swansea, 516–526.
Information & Authors
Information
Published In
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Jan 14, 2000
Accepted: May 24, 2000
Published online: Jan 1, 2002
Published in print: Jan 2002
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.