Technical Papers
Jul 25, 2020

Experimental and Numerical Study on Dynamic Behavior of Eddy Current Damping with Frequency Dependence

Publication: Journal of Engineering Mechanics
Volume 146, Issue 10

Abstract

This study investigates the dynamic and nonlinear behavior of an eddy current (EC) damping mechanism by using shaking table tests and finite-element modeling. A noncontact and friction-free EC damper is firstly designed and tested, illustrating the existing frequency-dependent characteristic. Following a primary convergence study on the mesh resolution, the three-dimensional (3D) transient analysis with the finite-element model is presented to reproduce the experimental observations, and the favorable agreement between simulation and experiment is utilized to validate the accuracy and reliability of modeling. The observations on instantaneous distribution and the phase lag of the EC are discovered and discussed. Then, a detailed parametric analysis on EC damping is further performed by evaluating the equivalent damping and stiffness coefficients generated from linear regression. The sensitivity of the two evaluation parameters on the excitation frequency and amplitude is presented with valuable insights obtained. Following that, the regressed functions of the excitation frequency for calculating the equivalent stiffness and damping coefficient are presented, and an illustrative case study is adopted to discuss the potential influence of the frequency dependence of the EC damping. Finally, the EC damper with real-size dimensions is modeled and investigated in ANSYS.

Get full access to this article

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

Data Availability Statement

Some or all data, models, or code generated or used during the study are available from the corresponding author upon reasonable request: (1) test data, (2) FEM model, (3) simulated data, and (4) code used to generate figures.

Acknowledgments

This study is sponsored by the National Science Foundation of China (Grant No. 51878483), the National Key Research and Development Program of China (Grant No. 2018YFC0705602), the Shanghai Peak Discipline Program, and the Fundamental Research Funds for the Central Universities.

References

Amjadian, M., and A. K. Agrawal. 2017. “A passive electromagnetic eddy current friction damper (PEMECFD): Theoretical and analytical modeling.” Struct. Control Health Monit. 24 (10): e1978. https://doi.org/10.1002/stc.1978.
Bae, J.-S., J. H. Hwang, D. G. Kwag, J. Park, and D. J. Inman. 2014. “Vibration suppression of a large beam structure using tuned mass damper and eddy current damping.” Shock Vib. 2014: 1–10. https://doi.org/10.1155/2014/893914.
Bae, J.-S., J. H. Hwang, J. S. Park, and D. G. Kwag. 2009. “Modeling and experiments on eddy current damping caused by a permanent magnet in a conductive tube.” J. Mech. Sci. Technol. 23 (11): 3024–3035. https://doi.org/10.1007/s12206-009-0819-0.
Beek, T. V., K. Pluk, H. Jansen, and E. Lomonova. 2016. “Optimisation and measurement of eddy current damping in a passive tuned mass damper.” IET Electr. Power Appl. 10 (7): 641–648. https://doi.org/10.1049/iet-epa.2015.0445.
Chen, W., J. Jiang, J. Liu, S. Bai, and W. Chen. 2013. “A passive eddy current damper for vibration suppression of a force sensor.” J. Phys. D: Appl. Phys. 46 (7): 075001. https://doi.org/10.1088/0022-3727/46/7/075001.
Detoni, J. G., Q. Cui, N. Amati, and A. Tonoli. 2016. “Modeling and evaluation of damping coefficient of eddy current dampers in rotordynamic applications.” J. Sound Vib. 373 (Jul): 52–65. https://doi.org/10.1016/j.jsv.2016.03.013.
Ebrahimi, B., M. B. Khamesee, and M. F. Golnaraghi. 2008. “Design and modeling of a magnetic shock absorber based on eddy current damping effect.” J. Sound Vib. 315 (4–5): 875–889. https://doi.org/10.1016/j.jsv.2008.02.022.
Ebrahimi, B., M. B. Khamesee, and M. F. Golnaraghi. 2009. “A novel eddy current damper: Theory and experiment.” J. Phys. D: Appl. Phys. 42 (7): 075001. https://doi.org/10.1088/0022-3727/42/7/075001.
Furlani, E. P. 2001. Permanent magnet and electromechanical devices: Materials, analysis, and applications. London: Academic Press.
Heald, M. A. 1988. “Magnetic braking: Improved theory.” Am. J. Phys. 56 (6): 521–522. https://doi.org/10.1119/1.15570.
Huang, Z. W., X. G. Hua, Z. Q. Chen, and H. W. Niu. 2018. “Modeling, testing, and validation of an eddy current damper for structural vibration control.” J. Aerosp. Eng. 31 (5): 04018063. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000891.
Irazu, L., and M. J. Elejabarrieta. 2018a. “Analysis and numerical modelling of eddy current damper for vibration problems.” J. Sound Vib. 426 (Jul): 75–89. https://doi.org/10.1016/j.jsv.2018.03.033.
Irazu, L., and M. J. Elejabarrieta. 2018b. “A novel hybrid sandwich structure: Viscoelastic and eddy current damping.” Mater. Des. 140 (Feb): 460–472. https://doi.org/10.1016/j.matdes.2017.11.070.
Lu, X., Q. Zhang, D. Weng, Z. Zhou, S. Wang, S. A. Mahin, S. Ding, and F. Qian. 2017. “Improving performance of a super tall building using a new eddy-current tuned mass damper.” Struct. Control Health Monit. 24 (3): e1882. https://doi.org/10.1002/stc.1882.
Lu, X., Q. Zhang, W. Wu, and J. Shan. 2019. “Data-driven two-level performance evaluation of eddy-current tuned mass damper for building structures using shaking table and field testing.” Comput.-Aided Civ. Infrastruct. Eng. 34 (1): 38–57. https://doi.org/10.1111/mice.12373.
Maddah, A. A., Y. Hojjat, M. R. Karafi, and M. R. Ashory. 2017. “Reduction of magneto rheological dampers stiffness by incorporating of an eddy current damper.” J. Sound Vib. 396 (May): 51–68. https://doi.org/10.1016/j.jsv.2017.02.011.
Pan, Q., T. He, D. Xiao, and X. Liu. 2016. “Design and damping analysis of a new eddy current damper for aerospace applications.” Lat. Am. J. Solids Struct. 13 (11): 1997–2011. https://doi.org/10.1590/1679-78252272.
Pluk, K. J. W., T. A. Van Beek, J. W. Jansen, and E. A. Lomonova. 2013. “Modeling and measurements on a finite rectangular conducting plate in an eddy current damper.” IEEE Trans. Ind. Electron. 61 (8): 4061–4072. https://doi.org/10.1109/TIE.2013.2279364.
Sasaki, S., K. Shimada, T. Yagai, M. Tsuda, T. Hamajima, N. Kawai, and K. Yasui. 2010. “Stationary levitation and vibration transmission characteristic in a superconducting seismic isolation device with a permanent magnet system and a copper plate.” Physica C 470 (20): 1791–1794. https://doi.org/10.1016/j.physc.2010.05.208.
Shi, X., S. Zhu, and B. F. Spencer Jr. 2017. “Experimental study on passive negative stiffness damper for cable vibration mitigation.” J. Eng. Mech. 143 (9): 04017070. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001289.
Smirnov, V., and V. Mondrus. 2016. “Comparison of linear and nonlinear vibration isolation system under random excitation.” Procedia Eng. 153: 673–678. https://doi.org/10.1016/j.proeng.2016.08.221.
Sodano, H. A., and J.-S. Bae. 2004. “Eddy current damping in structures.” Shock Vib. Dig. 36 (6): 469. https://doi.org/10.1177/0583102404048517.
Sodano, H. A., J. S. Bae, D. J. Inman, and W. K. Belvin. 2006. “Improved concept and model of eddy current damper.” J. Vib. Acoust. 128 (3): 294–302. https://doi.org/10.1115/1.2172256.
Takagi, T., S. Matsuda, J. Tani, and S. Kawamura. 1992. “Analysis and experiment of dynamic deflection of a thin plate with a coupling effect.” IEEE Trans. Magn. 28 (2): 1259–1262. https://doi.org/10.1109/20.123918.
Touzani, R., and J. Rappaz. 2014. Mathematical models for eddy currents and magnetostatics. Dordrecht, Netherlands: Springer.
Villaverde, R. 2017. “Base isolation with sliding hydromagnetic bearings: Concept and feasibility study.” Struct. Infrastruct. Eng. 13 (6): 709–721. https://doi.org/10.1080/15732479.2016.1187634.
Wang, Z., Z. Chen, and J. Wang. 2012. “Feasibility study of a large-scale tuned mass damper with eddy current damping mechanism.” Earthquake Eng. Eng. Vibr. 11 (3): 391–401. https://doi.org/10.1007/s11803-012-0129-x.
Wouterse, J. H. 1991. “Critical torque and speed of eddy current brake with widely separated soft iron poles.” In Proc., IEE Proc. B (Electric Power Applications), 153–158. London: Institution of Engineering and Technology.
Zuo, L., X. Chen, and S. Nayfeh. 2011. “Design and analysis of a new type of electromagnetic damper with increased energy density.” J. Vib. Acoust. 133 (4): 041006. https://doi.org/10.1115/1.4003407.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 146Issue 10October 2020

History

Received: Jan 10, 2020
Accepted: May 27, 2020
Published online: Jul 25, 2020
Published in print: Oct 1, 2020
Discussion open until: Dec 25, 2020

Permissions

Request permissions for this article.

Authors

Affiliations

Ph.D. Student, Dept. of Disaster Mitigation for Structures, Tongji Univ., Shanghai 200092, China. Email: [email protected]
Associate Professor, Dept. of Disaster Mitigation for Structures, Tongji Univ., Shanghai 200092, China (corresponding author). ORCID: https://orcid.org/0000-0002-9233-0036. Email: [email protected]
Cheng Ning Loong [email protected]
Ph.D. Student, Dept. of Civil and Environmental Engineering, Hong Kong Univ. of Science and Technology, Kowloon, Hong Kong, China. Email: [email protected]
Master Student, Dept. of Disaster Mitigation for Structures, Tongji Univ., Shanghai 200092, China. Email: [email protected]
Chih-Chen Chang [email protected]
Professor, Dept. of Civil and Environmental Engineering, Hong Kong Univ. of Science and Technology, Kowloon, Hong Kong, China. Email: [email protected]
Weixing Shi [email protected]
Professor, Dept. of Disaster Mitigation for Structures, Tongji Univ., Shanghai 200092, 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

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