Modal Analysis for Damage Detection in Structures
Publication: Journal of Structural Engineering
Volume 117, Issue 10
Abstract
Nondestructive inspection of structures by modal analysis of vibration response is reported. The dependence of natural frequencies and modal damping coefficients on deterioration in structures is examined. The magnitude of change in natural frequencies is a function of the severity and of the location of deterioration in structures. Ratios of changes in natural frequencies normalized with respect to the largest frequency change are independent of severity for small deterioration and can serve to indicate the location of deterioration directly. Specific deterioration events have an associated characteristic ensemble of ratios of natural frequency changes that may be compiled in advance to form a data base for later interpretation of observed modal parameter changes. The modal analysis method is demonstrated in experiments on a welded steel frame exposed to fatigue loading, and on wire ropes damaged by sawcuts. The method holds promise as a condition monitoring tool for bridges and other skeletal structures.
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References
1.
Berman, A. (1975). “Determining Structural parameters from dynamic testing.” Shock Vib. Dig., 7(1), 10–17.
2.
Berman, A. (1979). “Parameter identification techniques for vibrating structures.” Shock Vib. Dig., 11(1), 13–16.
3.
Chen, J. C., and Garba, J. A. (1980). “Analytical Model Improvement Using Modal Test Results.” AIAA J., 18(6), 684–690.
4.
Chen, J. C., and Garba, J. A. (1987). “Structural damage assessment using a system identification technique.” Structural safety evaluation based on system identification approaches, H. G. Natke and J. T. P. Yao, eds., Vieweg, Weisbaden, Germany, 474–492.
5.
Chondros, T. G., and Dimarogonas, A. D. (1980). “Identification of cracks in welded joints of complex structures.” J. Sound Vib., 69(4), 531–538.
6.
Coppolino, R. N., and Rubin, S. (1980). “Detectability of structural failures in offshore platforms by ambient vibration monitoring.” Proc. Twelfth Annual Offshore Tech. Conf., 4, 101–110.
7.
Ewins, D. J. (1984). Modal testing: Theory and practice. Wiley, New York, N.Y.
8.
Farshad, M. (1974). “Variations of eigenvalues and eigenfunctions in continuum mechanics.” AIAA J., 12(4), 560–561.
9.
Garcia De Jalon, J., and Viadero, F. (1985). “A new direct method for the simple and efficient reanalysis of structures.” Comput. Struct., 21(5), 1059–1066.
10.
Gregory, A. E., Yang, N. C., and Young, R. C. Y. (1985). “Bridge inspection by dynamic loading technique.” Structural Safety Studies, J. T. P. Yao, R. Corotis, C. B. Brown, F. Moses, eds., ASCE, New York, N.Y. 179–201.
11.
Ibrahim, S. R. (1987). “Correlation of analysis and test in modelling of structures: Assessment and review.” Structural Safety Evaluation Based on System Identification Approaches, H. G. Natke and J. T. P. Yao, eds., Vieweg, Weisbaden, Germany, 195–211.
12.
Kikuchi, F., and Aizawa, T. (1984). “A numerical method for free vibration analysis of structures with small design changes.” JSME Bull., 27(229), 1479–1486.
13.
Kikuchi, F., and Aizawa, T. (1985). “A numerical method for free vibration analysis of structures with small design changes.” JSME Bull., 28(242), 1733–1740.
14.
Kim, K. O. (1985). “Dynamic condensation for structural redesign.” AIAA J., 23(11), 1830–1832.
15.
Manual of steel construction load and resistance factor design. (1986). American Inst. of Steel Construction.
16.
Meirovitch, L. (1967). Analytical Methods in Vibrations. Macmillam, New York, N.Y., 207–225.
17.
Newland, D. E. (1975). Random vibrations and special analysis. Longmans, Essex, England.
18.
Rayleigh, J. W. S. (1945). The theory of sound. Dover, New York, N.Y., 1, 91–130.
19.
“Standard test method for fundamental transverse, longitudinal, and torsional frequencies of concrete specimens.” (1986a). C 215, Annual Book of ASTM Standards, American Soc. for Testing and Materials, 04.02, 152–156.
20.
“Standard test method for resistance of concrete to rapid freezing and thawing.” (1986b). C 666, Annual Book of ASTM Standards, American Soc. for Testing and Materials, 04.02, 406–413.
21.
Stetson, K. A., and Palma, G. E. (1976). “Inversion of first order perturbation theory and its application to structural redesign.” AIAA J., 14(4) 454–460.
22.
Torkamani, M. A. M., and Ahmadi, A. K. (1987). “A two stage identification approach in updating the analytical model of buildings.” Structural Safety Evaluation Based on System Identification Approaches, H. G., Natke and J. T. P. Yao, eds., Vieweg, Weisbaden, Germany, 234–264.
23.
Vanhonacker, P. (1980). “Differential and difference sensitivities of natural frequencies and mode shapes of mechanical structures.” AIAA J., 18(12), 1511–1514.
24.
Wei, F. S. (1980). “Stiffness matrix correction from incomplete test data.” AIAA J., 18(10) 1274–1275.
25.
Wolfenden, A., Harmouche, M. R., Blessing, G. V., Chen, Y. T., Terranova, P., Dayal, V., Kinra, V. K., Lemmens, J. W., Phillips, R. R., Smith, J. S., Mahmoodi, P., and Wann, R. J. (1989).
26.
“Dynamic Young's modulus measurements in metallic materials: Results of an interlaboratory testing program.” J. Test. Eval., 17(1), 2–13.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 117 • Issue 10 • October 1991
Pages: 3042 - 3063
Copyright
Copyright © 1991 ASCE.
History
Published online: Oct 1, 1991
Published in print: Oct 1991
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