Recently, the authors proposed computationally attractive algorithms to determine the location and extent of structural damage for undamped and damped structures assuming damage results in a localized change in a subset (not full set) of the property matrices (mass, stiffness and damping matrices). The algorithms make use of a finite element model and a subset of measured eigenvalues and eigenvectors. The developed theories approach the damage location and extent problem in a decoupled fashion. First, a theory is developed to determine the location of structural damage. With location determined, a damage extent theory is then developed. The damage extent algorithm is a minimum rank perturbation, which is consistent with the effects of many classes of structural damage on a finite element model. In this work, the concept of the Minimum Rank Perturbation Theory (MRPT) is adopted to simultaneously determine the damage extent of all property matrices of undamped and proportionally damped structures. Note that the property matrices are the mass, stiffness and damping matrices. Illustrative examples are presented to show the performance of the proposed theory. [S0739-3717(00)01904-8]
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October 2000
Technical Papers
Assessment of Damage Affecting All Structural Properties Using Experimental Modal Parameters
Mohamed Kaouk,
Mohamed Kaouk
The Boeing Company, Houston, TX 77058
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David C. Zimmerman,
David C. Zimmerman
University of Houston, Houston, TX 77204-4792
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Todd W. Simmermacher
Todd W. Simmermacher
University of Houston, Houston, TX 77204-4792
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Mohamed Kaouk
The Boeing Company, Houston, TX 77058
David C. Zimmerman
University of Houston, Houston, TX 77204-4792
Todd W. Simmermacher
University of Houston, Houston, TX 77204-4792
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received March 1994; revised May 2000. Associate Technical Editor: Kon-Well Wang.
J. Vib. Acoust. Oct 2000, 122(4): 456-463 (8 pages)
Published Online: May 1, 2000
Article history
Received:
March 1, 1994
Revised:
May 1, 2000
Citation
Kaouk, M., Zimmerman, D. C., and Simmermacher, T. W. (May 1, 2000). "Assessment of Damage Affecting All Structural Properties Using Experimental Modal Parameters ." ASME. J. Vib. Acoust. October 2000; 122(4): 456–463. https://doi.org/10.1115/1.1310328
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