Technical Notes
Nov 12, 2021

Design Formulas of Electromagnetic Inertial Mass Dampers for Cable Vibration Mitigation

Publication: Journal of Bridge Engineering
Volume 27, Issue 1

Abstract

This study proposes the design formulas of an inerter-based damper termed electromagnetic inertial mass damper (EIMD) for bridge stay cables. To maximize the modal damping ratio for a specific cable vibration mode, we derive the design formulas of the optimal inertance coefficient and damping coefficient of the EIMD, respectively. The accuracy of the design formulas has been validated via a numerical simulation and a full-scale experimental study of a 135-m-long stay cable, and the applicable scope of the design formulas is given accordingly. This study provides simple design formulas of the EIMD for easy use in the engineering practice of cable vibration mitigation.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The authors are grateful for the financial support from the National Natural Science Foundation of China (Grant No. 51838006), and the Fundamental Research Funds for the Central Universities (Grant No. HUST_2018KFYYX JJ007).

References

Ahmad, J., S. Cheng, and F. Ghrib. 2018. “Generalized approach for the formulation of analytical model of hybrid cable networks.” J. Eng. Mech. 144 (6): 04018035. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001455.
Chen, C.-C., W.-H. Wu, S.-T. Yu, and G. Lai. 2019. “Investigation of modal damping ratios for stay cables based on stochastic subspace identification with ambient vibration measurements.” Adv. Struct. Eng. 22 (16): 3444–3460. https://doi.org/10.1177/1369433219855900.
Gao, H., H. Wang, J. Li, Z. Wang, R. Liang, Z. Xu, and Y. Ni. 2021. “Optimum design of viscous inerter damper targeting multi-mode vibration mitigation of stay cables.” Eng. Struct. 226: 111375. https://doi.org/10.1016/j.engstruct.2020.111375.
Javanbakht, M., S. Cheng, and F. Ghrib. 2020. “Multimode vibration control of stay cables using optimized negative stiffness damper.” Struct. Control Health Monit. 27 (4): e2503. https://doi.org/10.1002/stc.2503.
Kovacs, I. 1982. “Zur frage der seilschwingungen und der seildämpfung.” Bautechnik 59 (10): 325–332.
Krenk, S. 2000. “Vibrations of a taut cable with an external damper.” J. Appl. Mech. 67 (4): 772–776. https://doi.org/10.1115/1.1322037.
Krenk, S., and J. R. Høgsberg. 2005. “Damping of cables by a transverse force.” J. Eng. Mech. 131 (4): 340–348. https://doi.org/10.1061/(ASCE)0733-9399(2005)131:4(340).
Krenk, S., and S. R. K. Nielsen. 2002. “Vibrations of a shallow cable with a viscous damper.” Proc. R. Soc. London, Ser. A 458: 339–357. https://doi.org/10.1098/rspa.2001.0879.
Li, Y., W. Shen, and H. Zhu. 2019. “Vibration mitigation of stay cables using electromagnetic inertial mass dampers: Full-scale experiment and analysis.” Eng. Struct. 200: 109693. https://doi.org/10.1016/j.engstruct.2019.109693.
Lu, L., Y.-F. Duan, B. F. Spencer, X. Lu, and Y. Zhou. 2017. “Inertial mass damper for mitigating cable vibration.” Struct. Control Health Monit. 24 (10): e1986. https://doi.org/10.1002/stc.1986.
Nakamura, Y., A. Fukukita, K. Tamura, I. Yamazaki, T. Matsuoka, K. Hiramoto, and K. Sunakoda. 2014. “Seismic response control using electromagnetic inertial mass dampers.” Earthquake Eng. Struct. Dyn. 43 (4): 507–527. https://doi.org/10.1002/eqe.2355.
Pacheco, B. M., Y. Fujino, and A. Sulekh. 1993. “Estimation curve for modal damping in stay cables with viscous damper.” J. Struct. Eng. 119 (6): 1961–1979. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:6(1961).
Shen, W., S. Zhu, and H. Zhu. 2016. “Experimental study on using electromagnetic devices on bridge stay cables for simultaneous energy harvesting and vibration damping.” Smart Mater. Struct. 25 (6): 065011. https://doi.org/10.1088/0964-1726/25/6/065011.
Shi, X., and S. Zhu. 2018. “Dynamic characteristics of stay cables with inerter dampers.” J. Sound Vib. 423: 287–305. https://doi.org/10.1016/j.jsv.2018.02.042.
Wang, Z.-H., H. Gao, B. Q. Fan, and Z.-Q. Chen. 2020. “Inertial mass damper for vibration control of cable with sag.” J. Low Freq. Noise Vibr. Act. Control 39 (3): 749–760. https://doi.org/10.1177/1461348418814967.
Wang, Z. H., Y. Xu, H. Gao, Z. Q. Chen, K. Xu, and S. Zhao. 2019. “Vibration control of a stay cable with a rotary electromagnetic inertial mass damper.” Smart Struct. Syst. 23 (6): 627–639. https://doi.org/10.12989/sss.2019.23.6.627.
Zhu, H., Y. Li, W. Shen, and S. Zhu. 2019. “Mechanical and energy-harvesting model for electromagnetic inertial mass dampers.” Mech. Syst. Sig. Process. 120: 203–220. https://doi.org/10.1016/j.ymssp.2018.10.023.

Information & Authors

Information

Published In

Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 27Issue 1January 2022

History

Received: Mar 7, 2021
Accepted: Oct 6, 2021
Published online: Nov 12, 2021
Published in print: Jan 1, 2022
Discussion open until: Apr 12, 2022

Permissions

Request permissions for this article.

Authors

Affiliations

Postdoctor, State Key Laboratory for Health and Safety of Bridge Structures, China Railway Bridge Science Research Institute, Ltd., Wuhan 430034, China. ORCID: https://orcid.org/0000-0002-4456-8656. Email: [email protected]
Associate Professor, School of Civil and Hydraulic Engineering, Huazhong Univ. of Science and Technology, Wuhan 430074, China (corresponding author). ORCID: https://orcid.org/0000-0001-9939-1854. Email: [email protected]
Hongping Zhu [email protected]
Professor and Dean, School of Civil and Hydraulic Engineering, Huazhong Univ. of Science and Technology, Wuhan 430074, China. Email: [email protected]
Saulo Silva [email protected]
Ph.D. Candidate, School of Civil and Hydraulic Engineering, Huazhong Univ. of Science and Technology, Wuhan 430074, China. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

  • A magnetic negative stiffness eddy-current inertial mass damper for cable vibration mitigation, Mechanical Systems and Signal Processing, 10.1016/j.ymssp.2022.110013, 188, (110013), (2023).
  • Stay cable vibration mitigation: A review, Advances in Structural Engineering, 10.1177/13694332221132316, 25, 16, (3368-3404), (2022).
  • Design Approach and Practical Formulas of Electromagnetic Inertial Mass Dampers for Cable Multimode Control, Journal of Bridge Engineering, 10.1061/(ASCE)BE.1943-5592.0001970, 27, 12, (2022).
  • Performance enhancement of FPS-isolated buildings using an inerter-based damper: Stochastic seismic analysis and optimization, Mechanical Systems and Signal Processing, 10.1016/j.ymssp.2022.109237, 177, (109237), (2022).
  • Online automatic monitoring of abnormal vibration of stay cables based on acceleration data from structural health monitoring, Measurement, 10.1016/j.measurement.2022.111102, 195, (111102), (2022).
  • Control performance assessment of cable-MR damper system based on pole assignment theory, Structures, 10.1016/j.istruc.2022.08.060, 44, (785-795), (2022).
  • Dynamic behavior and damping enhancement of cable with negative stiffness inerter damper, International Journal of Mechanical Sciences, 10.1016/j.ijmecsci.2022.107664, 235, (107664), (2022).

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share