Iranian Journal of Mechanical Engineering Transactions of ISME

Iranian Journal of Mechanical Engineering Transactions of ISME

Design of Nonlinear Shock Absorber with Magnetic Eddy Current Damper for Sequential Impact

Authors
1 Assistant Professor, Faculty of Mechanics, Malek Ashtar University of Technology
2 M.Sc., Faculty of Mechanics, Malek Ashtar University of Technology
Abstract
In this article, considering the existing limitations in changing the length of the linear spring and, on the other hand, the ability to design and manufacture a suitable damper element and nonlinear spring in energy absorbers, the design of a mass and a nonlinear spring with a magnetic eddy current damping element for use in sequential shock excitation has been proposed. In this mechanism, the nonlinear spring and damping element is designed respectively using a telescopic mechanism consisting and neodymium magnet. The nonlinear dynamic equation of the problem is solved using Rong-Kota 4th order and Newmark beta numerical methods. The results show that by selecting the appropriate length of the telescopic arm, in addition to ensuring the convergence of the results, the energy lost can be increased several times compared to the linear mechanism.
Keywords

Subjects


[1] D. D. Quinn et al, "Comparing Linear and Essentially Nonlinear Vibration-based Energy Harvesting," 2011.DOI: https://doi.org/10.1115/1.4002782.
 
[2] E. Halvorsen, "Fundamental Issues in Nonlinear Wideband-vibration Energy Harvesting," Physical Review E, Vol. 87, p. 042129, 2013.DOI: https://doi.org/10.1103/PhysRevE.87.042129.
 
[3] B. Zaghari, M. Ghandchi Tehrani, and E. Rustighi. (2014). Mechanical Modelling of a Vibration Energy Harvester with Time-varying Stiffness. Available: http://eprints.soton.ac.uk/id/eprint/366807.
 
[4] C. Liu and X. Jing, "Vibration Energy Harvesting with a Nonlinear Structure," Nonlinear Dynamics, Vol. 84, pp. 2079-2098, 2016.DOI: https://doi.org/10.1007/s11071-016-2630-7.
 
[5] C. Liu and X. Jing, "Nonlinear Vibration Energy Harvesting with Adjustable Stiffness, Damping and Inertia," Nonlinear Dynamics, Vol. 88, pp. 79-95, 2017.DOI: https://doi.org/10.1007/s11071-016-3231-1.
 
[6] M. Amri et al., ''Novel Nonlinear Spring Design for Wideband Vibration Energy Harvesters'', (2011), Available: https://perso.esiee.fr/~bassetp/fichiers/PowerMEMS_2011.pdf.
 
[7] S. Boisseau .,G. Despesse. B., and A. Seddik,“Adjustable Nonlinear Springs to Improve Efficiency of Vibration Energy Harvesters,”, (2012), Available: https://arxiv.org/ftp/arxiv/papers/1207/1207.4559.pdf.
 
[8] R. Ramlan et al., "Potential Benefits of a Non-linear Stiffness in an Energy Harvesting Device," Nonlinear Dynamics, Vol. 59, pp. 545-558, 2010.DOI: https://doi.org/10.1007/s11071-009-9561-5.
 
[9] Z. Wu, C. Levi, and S. F. Estefen, "Wave Energy Harvesting using Nonlinear Stiffness System," Applied Ocean Research, Vol. 74, pp. 102-116, 2018.DOI: https://doi.org/10.1016/j.apor.2018.02.009.
 
[10] A. Nammari et al., "Fabrication and Characterization of Non-resonant Magneto-mechanical Low-frequency Vibration Energy Harvester," Mechanical Systems and Signal Processing, Vol. 102, pp. 298-311, 2018.DOI: https://doi.org/10.1016/j.ymssp.2017.09.036.
 
[11] S. Leadenham and A. Erturk, "M-shaped Asymmetric Nonlinear Oscillator for Broadband Vibration Energy Harvesting: Harmonic Balance Analysis and Experimental Validation," Journal of Sound and Vibration, Vol. 333, pp. 6209-6223, 2014.DOI: https://doi.org/10.1016/j.jsv.2014.06.046.
 
[12] D. Mallick, A. Amann, and S. Roy, "A Nonlinear Stretching Based Electromagnetic Energy Harvester on FR4 for Wideband Operation," Smart Materials and Structures, Vol. 24, p. 015013, 2014.DOI: 10.1088/0964-1726/24/1/015013.
 
[13] D. Mallick, A. Amann, and S. Roy, "Analysis of Nonlinear Spring Arm for Improved Performance of Vibrational Energy Harvesting Devices," Journal of Physics: Conference Series, Vol. 476, p. 012088, 2013.DOI: 10.1088/1742-6596/476/1/012088.
 
[14] D. Miljković. (2009). Review of Active Vibration Control. Available: https://www.bib.irb.hr/croris-redir/.
 
[15] K. Shiba et al., "Active/Passive Vibration Control Systems for Tall Buildings," Smart Materials and Structures, Vol. 7, p. 588, 1998.DOI: 10.1088/0964-1726/7/5/003.
 
[16] G. Aguirre et al., ''Self-tuning Semi-active Tuned-mass Damper for Machine Tool Chatter Suppression'', (2012) , Available: http://centaur-wp.s3.amazonaws.com/theengineer/prod/content/uploads/2015/01/20110500/ISMA2012_490_Self-tuning_semi-active_tuned-mass_damper_for_machine_tool_chatter_suppression.pdf.
 
[17] K. Ikago, K. Saito, and N. Inoue, "Seismic Control of Single‐degree‐of‐freedom Structure using Tuned Viscous Mass Damper," Earthquake Engineering & Structural Dynamics, Vol. 41, pp. 453-474, 2012.DOI: https://doi.org/10.1002/eqe.1138.
 
[18] B. Ebrahimi, M. B. Khamesee, and F. Golnaraghi, "Permanent Magnet Configuration in Design of an Eddy Current Damper," Microsystem Technologies, Vol. 16, pp. 19-24, 2010.DOI: https://doi.org/10.1007/s00542-008-0731-z.
 
[19] B. Ebrahimi, M. B. Khamesee, and F. Golnaraghi, "Eddy Current Damper Feasibility in Automobile Suspension: Modeling, Simulation and Testing," Smart Materials and Structures, Vol. 18, p. 015017, 2008.DOI: 10.1088/0964-1726/18/1/015017.
 
[20] X. Lu et al., "Improving Performance of a Super Tall Building using a New Eddy‐current Tuned Mass Damper," Structural Control and Health Monitoring, Vol. 24, p. e1882, 2017.DOI: https://doi.org/10.1002/stc.1882.
 
[21] G. Xiao-Fan, Y. Yong, and Z. Xiao-Jing, "Analytic Expression of Magnetic Field Distribution of Rectangular Permanent Magnets," Applied Mathematics and Mechanics, Vol. 25, pp. 297-306, 2004.DOI: https://doi.org/10.1007/BF02437333.
 
[22] H. Gavin. (2001). Numerical Integration for Structural Dynamics. Available: http://people.duke.edu/~hpgavin/StructuralDynamics/NumericalIntegration.pdf.
 
[23] S. Y. Chang, "Studies of Newmark Method for Solving Nonlinear Systems:(I) Basic Analysis," Journal of the Chinese Institute of Engineers, Vol. 27, pp. 651-662, 2004.DOI: https://doi.org/10.1080/02533839.2004.9670913.
 
[24] K. Aydin. (2017). A New Implicit Time Integration Method for Nonlinear Structural Dynamics ProblEems. Available: https://www.semanticscholar.org/paper/A-NEW-IMPLICIT-TIME-INTEGRATION-METHOD-FOR-DYNAMICS-Aydin/525cd307c51b5f0637088f16f477107abc52ab17.
 

  • Receive Date 20 May 2022
  • Revise Date 17 September 2022
  • Accept Date 26 September 2022