Model Updating Methods Using Complex Eigenvalues: Sensitivity-Based versus Cross-Model Cross-Mode
Publication: Journal of Engineering Mechanics
Volume 147, Issue 4
Abstract
This study proposes iterative methods for updating damping and stiffness matrices of a finite-element model based on measured complex eigenvalues, i.e., poles, which could have been obtained accurately by using various experimental modal analysis (EMA) or operational modal analysis (OMA) techniques. In each iteration of the proposed methods, updating the stiffness and damping parameters requires solving a set of simultaneous linear equations, which can be generated by following a traditional sensitivity-based (SB) method or a less-known cross-model cross-mode (CMCM) approach. Whereas the SB method uses the difference between the target and baseline models to generate equations, the CMCM-based approach utilizes the product between these two models. Analytically, the similarities and differences between them are fully explained. Through the numerical studies, it reveals that the CMCM-based approach might significantly outperform the SB method.
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Data Availability Statement
The following items are available from the corresponding author by request:
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Codes of model updating of the vehicle system; and
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Data of the numerical studies.
Acknowledgments
The research was financially supported by the National Natural Science Foundation of China (Grant No. 51879250).
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Published In
Journal of Engineering Mechanics
Volume 147 • Issue 4 • April 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Aug 18, 2020
Accepted: Nov 11, 2020
Published online: Feb 2, 2021
Published in print: Apr 1, 2021
Discussion open until: Jul 2, 2021
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