Structural Damage Detection from Wavelet Coefficient Sensitivity with Model Errors
This article has a reply.
VIEW THE REPLYThis article has a reply.
VIEW THE REPLYPublication: Journal of Engineering Mechanics
Volume 132, Issue 10
Abstract
The sensitivity of the wavelet coefficient from structural responses with respect to the system parameters is analytically derived. It is then used in a sensitivity-based inverse problem for structural damage detection with sinusoidal or impulsive excitation and acceleration and strain measurements. The sensitivity of the wavelet coefficient is shown more sensitive than the response sensitivity with an example of a single story plane frame. It is further found not sensitive to different types of model errors in the initial model including the support stiffness, mass density and flexural rigidity of members, damping ratio, and the excitation force. Simulation results show that the damage information is carried mostly in the higher vibration modes of the structure as diagnosed with the corresponding wavelet coefficients from its dynamic responses. A wavelet combination encompasses all the frequency bandwidth is used in the successful identification of a reinforced concrete beam in the laboratory.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgment
The work described in this paper was supported by a grant from the Hong Kong Research Grant Council under Project No. PolyU 5043/02E.
References
Cattarius, J., and Inman, D. J. (1997). “Time domain analysis for damage detection in smart structures.” Mech. Syst. Signal Process., 11(3), 409–423.
Chui, C. K. (1997). “Wavelets: A mathematical tool for signal analysis.” SIAM monographs on mathematical modeling and computation, SIAM, Philadelphia.
Doebling, S. W., Farrar, C. R., Prime, M. P., and Shevitz, D. W. (1996). “Damage identification and health monitoring of structural and mechanical systems: A literature review.” Technical Rep. No. LA-13070, Los Alamos National Laboratories, Los Alamos, N.M.
Gabor, D. (1946). “Theory of communication.” J. Inst. Electr. Eng., Part 1, 93(26), 429–457.
Gurley, K., and Kareem, A. (1999). “Application of wavelet transforms in earthquake, wind, and ocean engineering.” Eng. Struct., 21(1), 149–67.
Law, S. S., Li, X. Y., Zhu, X. Q., and Chan, S. L. (2005). “Structural damage detection from wavelet packet energy sensitivity.” Eng. Struct., 27(9), 1339–1348.
Lu, Z. R., and Law, S. S. (2006). “Sensitivity of dynamic response and its application in damage detection.” J. Eng. Mech., submitted.
Majumder, L., and Manohar, C. S. (2003). “A time domain approach for damage detection in beam structures using vibration data with a moving oscillator as an excitation source.” J. Sound Vib., 268(4), 699–716.
Ovanesova, A. V., and Suárez, L. E. (2004). “Applications of wavelet transforms to damage detection in frame structures.” Eng. Struct., 26(1), 39–49.
Tikhonov, A. M. (1963). “On the solution of ill-posed problems and the method of regularization.” Sov. Math. Dokl., 4, 1035–1038.
Wong, L. A., and Chen, J. C. (2001). “Nonlinear and chaotic behavior of structural system investigated by wavelet transform techniques.” Int. J. Non-Linear Mech., 36, 221–235.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 132 • Issue 10 • October 2006
Pages: 1077 - 1087
Copyright
© 2006 ASCE.
History
Received: Sep 23, 2004
Accepted: Feb 14, 2006
Published online: Oct 1, 2006
Published in print: Oct 2006
Notes
Note. Associate Editor: Joel P. Conte
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.