Structural Identification and Damage Detection from Noisy Modal Data
Publication: Journal of Aerospace Engineering
Volume 18, Issue 3
Abstract
In this paper we present a simple, yet powerful, method for the identification of stiffness matrices of structural and mechanical systems from information about some of their measured natural frequencies and corresponding mode shapes of vibration. The method is computationally efficient and is shown to perform remarkably well in the presence of measurement errors in the mode shapes of vibration. It is applied to the identification of the stiffness distribution along the height of a simple vibrating structure. An example illustrating the method’s ability to detect structural damage that could be highly localized in a building structure is also given. The efficiency and accuracy with which the method yields estimates of the system’s stiffness from noisy modal measurement data makes it useful for rapid, on-line damage detection of structures.
Get full access to this article
View all available purchase options and get full access to this article.
References
Baruch, M., and Bar Itzhak, Y. (1978). “Optimal weighted orthogonalization of measured modes.” AIAA J., 16(4), 346–351.
Caughey, T. K., and O’Kelley, M. E. J. (1963). “General theory of vibration of damped linear dynamics systems.” Dynamics Laboratory Rep., California Institute of Technology.
Kabe, A. M. (1985). “Stiffness matrix adjustment using mode data.” AIAA J., 23(9), 1431–1436.
Kalaba, R., and Udwadia, F. E. (1993). “An associative memory approach to the rapid identification of nonlinear structural and mechanical systems.” J. Optim. Theory Appl., 76(2), 207–223.
Kenigsbuch, R., and Halevi, Y. (1997). “Generalized reference basis model updating in structural dynamics.” ASME Design Engineering Conf., Sacramento, Calif.
Koh, C. G., Hong, B., and Liaw, C.-Y. (2000). “Parameter identification of large structural systems in time domain.” J. Struct. Eng., 126(8), 957–963.
Mottershead, J. E., and Friswell, M. (1993). “Model updating in structural dynamics: A survey.” J. Sound Vib., 16(2), 347–375.
Udwadia, F. E., and Ghodsi, A. (1984). “Parameter identification problems in structural and geotechnical engineering.” J. Eng. Mech., 110(9), 1409–1432.
Udwadia, F. E., and Kalaba, R. (1996). Analytical dynamics, Cambridge University Press, Cambridge, England.
Udwadia, F. E., and Proskurowski, W. (1998). “A memory-matrix-based identification methodology for structural and mechanical systems.” Earthquake Eng. Struct. Dyn., 27, 1465–1481.
Wei, F. S. (1989). “Structural dynamic model modification using vibration data.” IMAC, 7, 562–567.
Information & Authors
Information
Published In
Journal of Aerospace Engineering
Volume 18 • Issue 3 • July 2005
Pages: 179 - 187
Copyright
© 2005 ASCE.
History
Received: Apr 25, 2003
Accepted: Jun 4, 2004
Published online: Jul 1, 2005
Published in print: Jul 2005
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.