Coil-based Electromagnetic Damper and Actuator for Vibration Suppression of Cantilever Beams

Abstract

In this study, both an eddy current coil damper and an electromagnetic actuator were developed for the vibration suppression of a cantilever beam integrated with a copper coil and a permanent magnet. The control system for the vibration suppression of the electro-magneto-mechanically coupled beam that consists of a coil attached to an aluminum beam and a permanent magnet installed below the coil was proposed. Alternatively, the conductive coil can be passively and actively used as a damper and an actuator. The effects of various coil shapes including a cylindrical tube, a square tube and a circular sheet were investigated to determine optimal vibration suppression for the cantilever beam. The frequency response function of a beam with the theoretical model of the magnetic eddy current damping system was predicted and its accuracy was compared to the experimentally measured frequency response. Also, the results of the active control with a positive position feedback method were compared with those of the passive eddy current dampers with open and closed circuits. The experimental data showed that the tube type coils had much higher vibration suppression efficiency than the sheet type coil and the active vibration control strategy can be alternatively used to improve the electromagnetic damper system.

Keywords

eddy current damper electromagnetic actuator vibration suppression.

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References

Bae, J.S. , Kwak, M.K. and Inman, D.J. 2005. ‘‘Vibration Suppression of Cantilever Beam Using Eddy Current Damper,’’ Journal of Sound and Vibration, 284:805-824.

Chen, M.Y. , Tzeng, H-W. and Hung, S-K. 2007. ‘‘A New Mechanism Design of Electro-magnetic Actuator for a Micro-positioner,’’ ISA Transactions , 46:41-48.

Ebrahimi, B. , Mir Behrad Khamesee, M. and Farid Golnaraghi. 2008. ‘‘Modeling of a Magnetic Shock Absorber Based on Eddy Current Damping Effect,’’ Journal of Sound and Vibration, 315:875-889.

Ebrahimi, B. , Babak Ebrahimi , Mir Behrad Khamesee , and Farid Golnaraghi. 2009. ‘‘Eddy Current Damper Feasibility in Automobile Suspension: Modeling, Simulation and Testing,’’ Smart Materials and Structures, 18:1-12.

Fanson, J.L. and Caughey, T.K. 1990. ‘‘Positive Position Feedback Control for Large Space Structures,’’ AIAA Journal, 28:717-724.

Fung, R.F. , Liu, Y-T. and Wang, C-C. 2005. ‘‘Dynamic Model of an Electromagnetic Actuator for Vibration Control of a Cantilever Beam with a Tip Mass, ’’ Journal of Sound and Vibration, 288:957-980.

Howe, D. 2000. ‘‘Magnetic Actuator,’’ Sensors and Actuators A-Physical, 81:268-274.

Kim, Y.B. et al. 2001. ‘‘Active Vibration Control of a Suspension System Using an Electromagnetic Damper,’’ Proceedings of The Institution of Mechanical Engineers Part D-Journal of Automobile of Engineering, 215:865-873.

Kim, K.H. , Yoon, H.J. , Jeong, O.C. et al. 2005. ‘‘Fabrication and Test of a Micro Electromagnetic Actuator,’’ Sensors and Actuators A-Physical, 117:8-16.

10.

Kwak, M.K. and Heo, S. 2007. ‘‘Active Vibration Control of Smart Grid Structure by Multiinput and Multioutput Positive Position Feedback Controller , ’’ Journal of Sound and Vibration, 304:230-245.

11.

Matsuzaki, T. , Ikeda, T. , Nae, A. et al. 2000. ‘‘Electromagnetic Forces for a New Vibration Control System: Experimental Verification,’’ Smart Materials and Structures, 9:127-131.

12.

Meirovitch, L. 1967. Analytical Methods in Vibrations, Collier-Macmillan Canada, New York.

13.

Rugar, D. et al. 2004. ‘‘Single Spin Detection by Magnetic Resonance Force Microscopy,’’ Nature, 430:329-332.

14.

Shan, J.J. , Liu, H-T. and Sun, D. 2005. ‘‘Slewing and Vibration Control of a Single-link Flexible Manipulator by Positive Position Feedback, ’’ Mechatronics, 15:487-503.

15.

Sodano, H.A. 2006. ‘‘Non-Contact Eddy Current Excitation Method for Vibration Testing,’’ Experimental Mechanics , 46:627-635.

16.

Sodano, H.A. and Bae, J.S. 2004. ‘‘Eddy Current Damping in Structures , ’’ Shock and Vibration Digest, 36:469-478.

17.

Sodano, H.A. and Inman, D.J. 2008. ‘‘Modeling of a New Active Eddy Current Vibration Control System,’’ ASME Journal of Dynamic Systems, Measurement and Control, 130:021009-1-11.

18.

Sodanoa, H.A. and Inman, D.J. 2007. ‘‘Non-contact Vibration Control System Employing an Active Eddy Current Damper,’’ Journal of Sound and Vibration, 305:596-613.

19.

Sodano, H.A. et al. 2005. ‘‘Concept and Model of Eddy Current Damper for Vibration Suppression of a Beam,’’ Journal of Sound and Vibration, 284:1177-1196.

20.

Sodano, H.A. et al. 2006a. ‘‘Improved Concept and Model of Eddy Current Damper,’’ ASME Journal of Vibration and Acoustics, 128:295-302.

21.

Sodano, H.A. et al. 2006b. ‘‘Modeling and Application of Passive Eddy Current Damper for the Suppression of Membrane Vibrations, ’’ AIAA Journal, 44:541-549.

22.

Sodano, H.A. , Inman, D.J. and Belvin, W.K. 2006c. ‘‘Development of a New Passive-Active Magnetic Damper for Vibration Suppression,’’ ASME Journal of Vibration and Acoustics, 128:318-327.

23.

Stepanek, J. et al. 2004. ‘‘Fast Dynamic Modeling of Magnetic Micro-Actuator,’’ Journal of Magnetism and Magnetic Materials, 272:669-671.

24.

Zheng, H. , Li, M. and He, Z. 2003. ‘‘Active and Passive Magnetic Constrained Damping Treatment,’’ International Journal of Solids and Structures, 40:6767-6779.

25.

Zheng, X.J. , Zhou, Y.-H. and Miya, K. 2001. ‘‘An Analysis of Variable Magnetic Damping of a Cantilever Beam-plate with End Coils in Transverse Magnetic Fields , ’’ Fusion Engineering and Design, 55:457-465.