The coordinate orthogonality check (CORTHOG) 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 CORTHOG to remove four inaccurate degrees-of-freedom (DOF) 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 (FE) 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.
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June 2019
Research-Article
Multi-Objective Model Updating Optimization Considering Orthogonality
Braden T. Warwick,
Braden T. Warwick
Department of Mechanical and
Materials Engineering,
Queen's University,
Kingston, ON K7L 2V9, Canada
e-mail: braden.warwick@queensu.ca
Materials Engineering,
Queen's University,
Kingston, ON K7L 2V9, Canada
e-mail: braden.warwick@queensu.ca
1Corresponding author.
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Il Yong Kim,
Il Yong Kim
Department of Mechanical and
Materials Engineering,
Queen's University,
Kingston, ON K7L 2V9, Canada
e-mail: kimiy@queensu.ca
Materials Engineering,
Queen's University,
Kingston, ON K7L 2V9, Canada
e-mail: kimiy@queensu.ca
Search for other works by this author on:
Chris K. Mechefske
Chris K. Mechefske
Professor
Department of Mechanical and
Materials Engineering,
Queen's University,
Kingston, ON K7L 2V9, Canada
e-mail: chris.mechefske@queensu.ca
Department of Mechanical and
Materials Engineering,
Queen's University,
Kingston, ON K7L 2V9, Canada
e-mail: chris.mechefske@queensu.ca
Search for other works by this author on:
Braden T. Warwick
Department of Mechanical and
Materials Engineering,
Queen's University,
Kingston, ON K7L 2V9, Canada
e-mail: braden.warwick@queensu.ca
Materials Engineering,
Queen's University,
Kingston, ON K7L 2V9, Canada
e-mail: braden.warwick@queensu.ca
Il Yong Kim
Department of Mechanical and
Materials Engineering,
Queen's University,
Kingston, ON K7L 2V9, Canada
e-mail: kimiy@queensu.ca
Materials Engineering,
Queen's University,
Kingston, ON K7L 2V9, Canada
e-mail: kimiy@queensu.ca
Chris K. Mechefske
Professor
Department of Mechanical and
Materials Engineering,
Queen's University,
Kingston, ON K7L 2V9, Canada
e-mail: chris.mechefske@queensu.ca
Department of Mechanical and
Materials Engineering,
Queen's University,
Kingston, ON K7L 2V9, Canada
e-mail: chris.mechefske@queensu.ca
1Corresponding author.
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received November 22, 2018; final manuscript received February 28, 2019; published online April 8, 2019. Assoc. Editor: Bogdan I. Epureanu.
J. Comput. Nonlinear Dynam. Jun 2019, 14(6): 061009 (11 pages)
Published Online: April 8, 2019
Article history
Received:
November 22, 2018
Revised:
February 28, 2019
Citation
Warwick, B. T., Kim, I. Y., and Mechefske, C. K. (April 8, 2019). "Multi-Objective Model Updating Optimization Considering Orthogonality." ASME. J. Comput. Nonlinear Dynam. June 2019; 14(6): 061009. https://doi.org/10.1115/1.4043086
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