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research-article

Multi-Objective Model Updating Optimization Considering Orthogonality

[+] Author and Article Information
Braden Warwick

PhD Candidate, Department of Mechanical & Materials Engineering, Queen's University, Kingston, ON, CAN
braden.warwick@queensu.ca

Il Yong Kim

Associate Professor, Department of Mechanical & Materials Engineering, Queen's University, Kingston, ON, CAN
kimiy@queensu.ca

Chris K Mechefske

Professor, Department of Mechanical & Materials Engineering, Queen's University, Kingston, ON, CAN
chris.mechefske@queensu.ca

1Corresponding author.

ASME doi:10.1115/1.4043086 History: Received November 22, 2018; Revised February 28, 2019

Abstract

The coordinate orthogonality check and multi-objective optimization considering pseudo orthogonality as an objective function are introduced to overcome several limitations present in current model updating methods. It was observed that the use of the coordinate orthogonality check to remove four inaccurate degrees of freedom was able to increase the orthogonality between mode shape vectors. The multi-objective model updating process generated a Pareto front with 38 unique optimal solutions. Four critical points were identified along the Pareto front, of which decreased the natural frequency error by greater than 2.84% and further increased the orthogonality between mode shape vectors. Therefore, it has been demonstrated that both steps of the methodology are critical to significantly reduce the overall errors of the system, and to generate a finite element model that best describes physical reality. Additionally, the methodology introduced in this work generated a feasible computational runtime allowing for it to be easily adapted to widespread applications.

Copyright (c) 2019 by ASME
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