Element Level System Identification with Unknown Input with Rayleigh Damping
Publication: Journal of Engineering Mechanics
Volume 130, Issue 8
Abstract
A novel system identification procedure is proposed for nondestructive damage evaluation of structures. It is a finite element-based time-domain linear system identification technique capable of identifying structures at the element level. The unique features of the algorithm are that it can identify a structure without using any input excitation information and it can consider both viscous and Rayleigh-type proportional damping in the dynamic models. The consideration of proportional damping introduces a source of nonlinearity in the otherwise linear dynamic algorithm. However, it will also reduce the total number of damping coefficients to be identified, reducing the size of the problem. The Taylor series approximation is used to transform a nonlinear set of equations to a linear set of equations. The proposed algorithm, denoted as the modified iterative least square with unknown input algorithm, is verified with several examples considering various types of structures including shear-type building, truss, and beams. The algorithm accurately identified the stiffness of structures at the element level for both viscous (linear) and proportional (nonlinear) damping cases. It is capable of identifying a structure even with noise-contaminated response information. An example shows how the algorithm could be used in detecting the exact location of a defect in a defective element. The algorithm is being developed further and is expected to provide an economical, simple, efficient, and robust system identification technique that can be used as a nondestructive defect detection procedure in the near future.
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Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 130 • Issue 8 • August 2004
Pages: 877 - 885
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: Jan 17, 2003
Accepted: Oct 15, 2003
Published online: Jul 15, 2004
Published in print: Aug 2004
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