Techno Press


Steel and Composite Structures   Volume 19, Number 1, July 2015, pages 191-208
DOI: http://dx.doi.org/10.12989/scs.2015.19.1.191
 
Damage detection using finite element model updating with an improved optimization algorithm
Yalan Xu, Yu Qian, Gangbing Song and Kongming Guo

 
Abstract     [Full Text]
    The sensitivity-based finite element model updating method has received increasing attention in damage detection of structures based on measured modal parameters. Finding an optimization technique with high efficiency and fast convergence is one of the key issues for model updating-based damage detection. A new simple and computationally efficient optimization algorithm is proposed and applied to damage detection by using finite element model updating. The proposed method combines the Gauss- Newton method with region truncation of each iterative step, in which not only the constraints are introduced instead of penalty functions, but also the searching steps are restricted in a controlled region. The developed algorithm is illustrated by a numerically simulated 25-bar truss structure, and the results have been compared and verified with those obtained from the trust region method. In order to investigate the reliability of the proposed method in damage detection of structures, the influence of the uncertainties coming from measured modal parameters on the statistical characteristics of detection result is investigated by Monte-Carlo simulation, and the probability of damage detection is estimated using the probabilistic method.
 
Key Words
    damage detection; model updating; region truncation; uncertainty; probability
 
Address
(1) Yalan Xu, Yu Qian:
School of Electronic & Mechanical Engineering, Xidian University, Xi'an 710071, P.R. China;
(2) Gangbing Song, Kongming Guo:
Department of Mechanical Engineering, University of Houston, Houston, TX 77004, USA.
 

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