Design Approach and Practical Formulas of Electromagnetic Inertial Mass Dampers for Cable Multimode Control
Publication: Journal of Bridge Engineering
Volume 27, Issue 12
Abstract
An inerter-based damper termed electromagnetic inertial mass damper (EIMD) has been demonstrated as a high-performance passive damper for bridge stay cables. However, how to design an EIMD for suppressing cable multimode vibration remains largely unsolved. Here, we present practical design formulas of the EIMD for cable multimode control. A Q-point method is presented for EIMD design aiming at cable multimode control. Then, we propose asymptotic solutions of the optimal parameters of the EIMD for maximizing the damping ratio of the Q point, which guarantees that the modal damping ratios within the mode range considered are no less than that of the Q point. The accuracy of the practical design formulas is verified via both numerical study and full-scale test data. In addition, two design examples of real cables in China, including a 634-m-long cable, are presented. Comparisons of the results illustrate that the modal damping ratios offered by the EIMD outperform the counterparts of viscous dampers. This study provides practical design formulas for an EIMD or other similar dampers for cable multimode control.
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Data Availability Statement
All data, models, or code generated or used during the study appear in the published article are available from the corresponding author by request.
Acknowledgments
The authors are grateful for the financial support from the National Natural Science Foundation of China (Grant Nos. 52278309 and 51838006). The findings and opinions expressed here, however, are those of the authors alone and not necessarily those of the sponsor.
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Published In
Journal of Bridge Engineering
Volume 27 • Issue 12 • December 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Dec 30, 2021
Accepted: Aug 10, 2022
Published online: Oct 11, 2022
Published in print: Dec 1, 2022
Discussion open until: Mar 11, 2023
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