Structural Damage Detection from Incomplete and Noisy Modal Test Data
Publication: Journal of Engineering Mechanics
Volume 124, Issue 11
Abstract
Existing research on structural damage detection usually requires information at every degree of freedom, and this contradicts the usual practice of having a small number of sensors employed over limited locations on the structure. A method to detect the location and to estimate the magnitude of damage in a structure down to the element level with incomplete and noisy measured modal data is proposed. The method consists of three stages: expansion of the measured mode shapes, localization of the damage domain using the elemental energy quotient difference, and damage quantification based on sensitivity of the modal frequency. A new mode shape expansion method is presented, and the effectiveness of the combined use of this method and the elemental energy quotient difference is demonstrated with incomplete measurement. The treatment of modeling errors is discussed. A criterion for selection of the damaged members is proposed and practical means to improve the identification results are presented. Several damage cases of the European Space Agency structure and of a single-bay two-story portal steel frame structure in the laboratory are investigated. The practical problem of having random error and systematic error in the measurement is studied. Results show that the proposed three-stage approach can effectively locate and quantify damages in a real structure.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Adams, R. D., Cawley, P., Pye, C. J., and Stone, B. J.(1978). “A vibration technique for non-destructively assessing the integrity of structure.”J. Mech. Engrg. Sci., 20(2), 93–100.
2.
Alampalli, S., Fu, G., and Dillon, E. W.(1997). “Signal versus noise in damage detection by experimental modal analysis.”J. Struct. Engrg., ASCE, 123(2), 237–245.
3.
Azizinamini, A., Bradburn, J. H., and Radziminski, J. B.(1987). “Initial stiffness of semi-rigid steel beam-to-column connection.”J. Constr. Steel Res., 8, 71–90.
4.
Cawley, P., and Adams, R. D.(1979). “The location of defects in structures from measurements of natural frequencies.”J. Strain Anal., 14(2), 49–57.
5.
Cobb, R. G., and Liebst, B. S.(1997). “Sensor placement and structural damage identification from minimal sensor information.”AIAA J., 35(2), 369–374.
6.
Hu, H. C. (1987). The vibration theory of multiple freedom system. The Science Press, Beijing, China.
7.
Kammer, D. C.(1991). “Sensor placement for on-orbit modal identification and correlation of large space structures.”J. Guidance, Control, and Dyn., 14(9), 251–259.
8.
Kaouk, M., and Zimmerman, D. C.(1994). “Structural damage assessment using a generalized minimum rank perturbation theory.”AIAA J., 32(4), 836–842.
9.
Kim, J. T., and Stubbs, N.(1995). “Model-uncertainty impact and damage-detection accuracy in plate girder.”J. Struct. Engrg., ASCE, 121(10), 1409–1417.
10.
Ladeveze, P., Nedjar, D., and Reynier, M.(1994). “Updating of finite element models using vibration tests.”AIAA J., 32(7), 1485–1491.
11.
Lam, H. F. P. (1994). “Detection of damage location based on sensitivity & experimental modal analysis,” MPhil thesis, Civ. and Struct. Engrg. Dept., Hong Kong Polytechnic University, Hong Kong.
12.
Law, S. S., Li, X., and Ward, H. S. (1990). “A vibration diagnosis technique for structural stiffness identification.”Int. Conf. on Vibration in Engrg. (Wuhan-Chongqing), International Academic Publishers, Beijing, China, 678–683.
13.
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.
14.
Morassi, A., and Rovere, N.(1997). “Localizing a notch in a steel frame from frequency measurements.”J. Engrg. Mech., ASCE, 123(5), 422–432.
15.
O'Callahan, J., Avitable, P., and Reimer, R. (1989). “System equivalent reduction expansion process (SEREP).”7th Int. Modal Anal. Conf., Society for Experimental Mechanics, Bethel, Conn., 29–37.
16.
Shi, Z. Y., Ding, X. H., and Gu, H. Z. (1995). “A new model reduction and expansion method.”Int. Conf. on Struct. Dyn., Vibration, Noise and Control, Hong Kong Polytechnic University, Hong Kong, 847–852.
17.
Shi, Z. Y., Law, S. S., and Zhang, L. M. (1998). “Structural damage localization from modal strain energy change.”J. Sound and Vibration (in press).
18.
Sidhu, J., and Ewins, D. J. (1984). “Correlation of finite and modal test studies of a practical structure.”2nd Int. Modal Anal. Conf., Society for Experimental Mechanics, Bethel, Conn., 756–762.
19.
Yuen, M. M. F.(1985). “A numerical study of the eigenparameters of a damaged cantilever.”J. Sound and Vibration, 103(3), 301–310.
20.
Zhang, L. M. (1988). Dynamic modal analysis package NAI-MODAL user manual. Nanjing University of Aeronautics and Astronautics, Nanjing, China.
21.
Zimmerman, D. C., and Kaouk, M.(1994). “Structural damage detection using a minimum rank update theory.”J. Vibration and Acoustics, 116(2), 222–231.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 124 • Issue 11 • November 1998
Pages: 1280 - 1288
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Nov 1, 1998
Published in print: Nov 1998
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.