Structural Damage Detection Using Linear Matrix Inequality Methods

M. O. Abdalla; K. M. Grigoriadis; D. C. Zimmerman

doi:10.1115/1.1287029

Journal of Vibration and Acoustics | Volume 122 | Issue 4 | TECHNICAL PAPERS

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TECHNICAL PAPERS

Structural Damage Detection Using Linear Matrix Inequality Methods

M. O. Abdalla, K. M. Grigoriadis and D. C. Zimmerman

[+] Author and Article Information

M. O. Abdalla, K. M. Grigoriadis, D. C. Zimmerman

Department of Mechanical Engineering, University of Houston, Houston, TX 77204-4792

J. Vib. Acoust 122(4), 448-455 (Mar 01, 2000) (8 pages) doi:10.1115/1.1287029 History: Received July 01, 1998; Revised March 01, 2000

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Abdalla MO, Grigoriadis KM, Zimmerman DC. Structural Damage Detection Using Linear Matrix Inequality Methods. ASME. J. Vib. Acoust. 2000;122(4):448-455. doi:10.1115/1.1287029.

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Structural Damage Detection Using Linear Matrix Inequality Methods

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Figures

Axially vibrating bar

Matrix update, two measured modes with 0 percent noise

Matrix update, nine measured modes with 3 percent noise

Matrix update, nine measured modes with 5 percent noise

Matrix update, five measured modes with 3 percent noise

Matrix update, five measured modes with 5 percent noise

Parameter update, two measured modes with 0 percent noise

Parameter update, nine measured modes with 3 percent noise

Parameter update, nine measured modes with 5 percent noise

Parameter update, five measured modes with 3 percent noise

Parameter update, five measured modes with 5 percent noise

Cantilevered beam test-bed

Experimental setup at DSCL

Matrix update, stiffness matrix perturbation ΔK

Elemental stiffness reductions from LMI parameter update

Stiffness matrix perturbation ΔK

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