This research studies finite element (FE) model updating formulations utilizing the measured frequency-domain modal properties, i.e. resonance frequencies and mode shapes. The modal properties provided by an FE model are usually different from the ones experimentally measured from an as-built structure. To update the FE model parameters, optimization problems are formulated to minimize the difference between experimental and simulated modal properties. Two modal property difference formulations are presented in this research, one using MAC values and the other using direct differences between eigenvectors. To find the optimal solution of the formulated optimization problem, two optimization algorithms are studied for comparison, i.e. the Levenberg-Marquardt and the trust-region-reflective algorithms. Randomly generated starting values of optimization variables are adopted to increase the chance of finding global minimum. The model updating formulations with different optimization algorithms are studied with a space frame example.
Xinjun Dong and Yang Wang, "Modal property difference formulations and optimization algorithm comparison towards FE model updating," Proc. SPIE 10598, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2018, 1059828 (Presented at SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring: March 08, 2018; Published: 27 March 2018); https://doi.org/10.1117/12.2285053.
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