Improved Damage Quantification from Elemental Modal Strain Energy Change
Publication: Journal of Engineering Mechanics
Volume 128, Issue 5
Abstract
An improved structural damage quantification algorithm is presented based on the elemental modal strain energy change before and after the occurrence of damage in a structure. The algorithm includes the analytical stiffness and mass matrices of the system in the damage quantification. It reduces significantly the modal truncation error and the finite-element modeling error from higher analytical modes in the computation, and it improves the convergence properties of the existing algorithm by Shi et al. (2000). “Structural damage detection from elemental modal strain energy change.” J. Eng. Mech., 126(12), 1216–1223]. The effectiveness of the proposed algorithm is demonstrated via a numerical example and experimental results from a two-storey steel portal frame, and it is demonstrated to be an efficient and robust method for damage quantification.
Get full access to this article
View all available purchase options and get full access to this article.
References
Azizinamini, A., Bradburn, J. H., and Radziminski, J. B.(1987). “Initial stiffness of semirigid steel beam-to-column connection.” J. Constr. Steel Res., 8, 71–90.
Cawley, P., and Adams, R. D.(1979). “The location of defects in structures from measurement of natural frequencies.” J. Strain Anal. Eng. Des., 14(2), 49–57.
Doebling, S. W., Hemez, F. M., Peterson, L. D., and Farhat, C.(1997). “Improved damage location accuracy using strain energy based on mode selection criteria.” AIAA J., 35(4), 693–699.
Farhat, C., and Hemez, F. M.(1993). “Updating finite-element dynamic models using an element-by-element sensitivity methodology.” AIAA J., 31(9), 1702–1711.
Fox, R. L., and Kapoor, M. P.(1968). “Rate of change of eigenvalues and eigenvectors.” AIAA J., 6, 2426–2429.
Kaouk, M., and Zimmerman, D. C.(1994). “Structural damage assessment using a generalized minimum rank perturbation theory.” AIAA J., 32(4), 836–842.
Lam, H. F. P. (1994). “Detection of damage location based on sensitivity and experimental modal analysis.” MS thesis, Civil and Structural Engineering Dept., Hong Kong Polytechnic Univ., Hong Kong.
Law, S. S., Shi, Z. Y., and Zhang, L. M.(1998). “Structural damage detection from incomplete and noisy test data.” J. Eng. Mech., 124(11), 1280–1288.
Lim, T. W., and Kashangaki, T. A. L.(1994). “Structural damage detection of space truss structures using best achievable eigenvectors.” AIAA J., 32(5), 1049–1057.
Pandey, A. K., and Biswas, M.(1995). “Experimental verification of flexibility difference method for locating damage in structures.” J. Sound Vib., 184(2), 311–328.
Ricles, J. M., and Kosmatks, J. B.(1992). “Damage detection in elastic structures using vibratory residual forces and weighted sensitivity.” AIAA J., 30(9), 2310–2316.
Shi, Z. Y., Ding, X. H., and Gu, H. Z. (1995). “A new model reduction and expansion method.” Proc., Int. Conf. on Structural Dynamics, Vibration, Noise, and Control, 847–852S.
Shi, Z. Y., Law, S. S., and Zhang, L. M.(1998). “Structural damage localization from modal strain energy change.” J. Sound Vib., 218(5), 825–844.
Shi, Z. Y., Law, S. S., and Zhang, L. M.(2000). “Structural damage detection from elemental modal strain energy change.” J. Eng. Mech., 126(12), 1216–1223.
Smith, W. (1993). “Application strategies for structure identification with optimal-matrix updates.” Proc., 11th IMAC (Orlando, Fla.), Society for Experimental Mechanics, Bethel, Conn., 1274–1280.
Stubbs, N., and Kim, J. T.(1996). “Damage localization in structures without base-line modal parameters.” AIAA J., 34(8), 1644–1649.
Sutter, R., Charles, C. J., Joanne, W., and Howard, M. A.(1988). “Comparison of several methods for calculating vibration mode shape.” AIAA J., 26(12), 1506–1511.
Yuen, M. M. F.(1985). “A numerical study of the eigenparameters of a damaged cantilever.” J. Sound Vib., 103(3), 301–310.
Zhang, Q., Lallement, Q., Fillod, R., and Piranda, J. (1987). “A procedure for the adjustment of a mathematical model from the identified complex modes.” Proc., IMAC-V, 1183.
Zimmerman, D. C., and Kaouk, M.(1992). “Eigenstructure assignment approach for structural damage detection.” AIAA J., 30(7), 1848–1855.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 128 • Issue 5 • May 2002
Pages: 521 - 529
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Jul 11, 2000
Accepted: Oct 15, 2001
Published online: Apr 15, 2002
Published in print: May 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.