A major challenge in structural health monitoring (SHM) is to accurately identify both the location and severity of damage using the dynamic response information acquired. While in theory the vibration-based and impedance-based methods may facilitate damage identification with the assistance of a credible baseline finite element model, the response information is generally limited, and the measurements may be heterogeneous, making an inverse analysis using sensitivity matrix difficult. Aiming at fundamental advancement, in this research we cast the damage identification problem into an optimization problem where possible changes of finite element properties due to damage occurrence are treated as unknowns. We employ the multiple damage location assurance criterion (MDLAC), which characterizes the relation between measurements and predictions (under sampled elemental property changes), as the vector-form objective function. We then develop an enhanced, multi-objective version of the dividing rectangles (DIRECT) approach to solve the optimization problem. The underlying idea of the multi-objective DIRECT approach is to branch and bound the unknown parametric space to converge to a set of optimal solutions. A new sampling scheme is established, which significantly increases the efficiency in minimizing the error between measurements and predictions. The enhanced DIRECT algorithm is particularly suited to solving for unknowns that are sparse, as in practical situations structural damage affects only a small region. A number of test cases using vibration response information are executed to demonstrate the effectiveness of the new approach.
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A Multi-Objective DIRECT Algorithm Toward Structural Damage Identification With Limited Dynamic Response Information
Pei Cao,
Pei Cao
Department of Mechanical Engineering,
University of Connecticut,
Storrs, CT 06269
University of Connecticut,
Storrs, CT 06269
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Qi Shuai,
Qi Shuai
Department of Automotive Engineering,
Chongqing University,
Chongqing 400044, China
Chongqing University,
Chongqing 400044, China
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Jiong Tang
Jiong Tang
Professor
Department of Mechanical Engineering,
University of Connecticut,
Storrs, CT 06269
e-mail: jiong.tang@uconn.edu
Department of Mechanical Engineering,
University of Connecticut,
Storrs, CT 06269
e-mail: jiong.tang@uconn.edu
Search for other works by this author on:
Pei Cao
Department of Mechanical Engineering,
University of Connecticut,
Storrs, CT 06269
University of Connecticut,
Storrs, CT 06269
Qi Shuai
Department of Automotive Engineering,
Chongqing University,
Chongqing 400044, China
Chongqing University,
Chongqing 400044, China
Jiong Tang
Professor
Department of Mechanical Engineering,
University of Connecticut,
Storrs, CT 06269
e-mail: jiong.tang@uconn.edu
Department of Mechanical Engineering,
University of Connecticut,
Storrs, CT 06269
e-mail: jiong.tang@uconn.edu
1Corresponding author.
Manuscript received August 31, 2017; final manuscript received November 2, 2017; published online December 20, 2017. Assoc. Editor: Mark Derriso.
ASME J Nondestructive Evaluation. May 2018, 1(2): 021004-021004-12 (12 pages)
Published Online: December 20, 2017
Article history
Received:
August 31, 2017
Revised:
November 2, 2017
Citation
Cao, P., Shuai, Q., and Tang, J. (December 20, 2017). "A Multi-Objective DIRECT Algorithm Toward Structural Damage Identification With Limited Dynamic Response Information." ASME. ASME J Nondestructive Evaluation. May 2018; 1(2): 021004–021004–12. https://doi.org/10.1115/1.4038630
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