Structural Damping Ratio Identification through Iterative Frequency Domain Decomposition
Publication: Journal of Structural Engineering
Volume 149, Issue 5
Abstract
The frequency domain decomposition method (FDD) is a commonly used method to identify structural modal parameters and analyze the structural dynamic performance. Although FDD has a high identification accuracy in natural frequencies and mode shapes, damping ratios cannot be identified accurately. The logarithmic decay method to identify the damping ratio in FDD needs the transformation from a narrow frequency band to the time domain, which leads to the loss of the corresponding mode outside the narrow band and add other modes in the narrow band. In this paper, an iterative frequency domain decomposition method (iFDD) is proposed to identify the structural damping ratio in frequency domain. Firstly, the natural frequencies and mode shapes are obtained by the FDD method, and the damping ratios during this identification process are assumed to be unknowns. Then, the natural frequencies, mode shapes, and unknowns are substituted into the output power spectrum formula to construct nonlinear equations. The damping ratios are obtained by solving the equations using iterative optimization methods. Finally, a numerical example and benchmark model are employed to validate the effectiveness of the proposed method. The results showed that the proposed iFDD method can identify the damping ratio precisely in the frequency domain, which is better than the traditional FDD performance.
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Data Availability Statement
All data, models, or code generated or used during the study are available from the corresponding author by request.
Acknowledgments
This research work was jointly supported by the National Natural Science Foundation of China (Grant Nos. 52078100 and 52250011), Fundamental Research Funds for the Central Universities (Grant Nos. DUT22JC19, DUT22ZD213, and DUT22QN235), Scientific Research Fund of Institute of Engineering Mechanics (China Earthquake Administration) (Grant No. 2020D32), Anhui International Joint Research Center of Data Diagnosis and Smart Maintenance on Bridge Structures (Grant No. 2022AHGHYB03), and Key Laboratory of Concrete and Pre-Stressed Concrete Structures of Ministry of Education (Southeast University) (Grant No. CPCSME2018-04).
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Information
Published In
Journal of Structural Engineering
Volume 149 • Issue 5 • May 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Jul 6, 2022
Accepted: Dec 12, 2022
Published online: Mar 7, 2023
Published in print: May 1, 2023
Discussion open until: Aug 7, 2023
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