Energy Harvesting from Nonlinear Vibrating System Using Two Impacting Cantilever Beam

Author

Abstract

This paper aims at investigating the mechanical behavior of a nonlinear system consisting of two coupled beams and a PZT material attached on each beam, excited with a single resonant frequency, for energy harvesting. In order to model the beams, in-extensional assumption and Euler-Bernoulli beam theory are utilized. It is assumed that the beams undergo large amplitude vibrations; which necessitates the application of a nonlinear theory which is taking into account curvature-related and inertial-related nonlinearities. Numerical studies were carried out to study the effect of the different parameters such as external resistance load, gap distance between beams on the nonlinear behavior of the system. It was obtained that as the gap distance between beams decreases, the scavenged power increases and the system behavior tends to exhibit non-periodic response. In addition, a comparison was done between linear and nonlinear systems shown that considering nonlinearity in the system accompanies a shift in the resonance frequency and induces hardening nonlinear behavior in the system.

Keywords

References

  1. Chen, C. J. “Physics of Solar Energy” John Wiley & Sons, New York, 2011.##
  2. Beeby, S. and White, N. “Energy Harvesting for Autonomous Systems”, Artech House, New York, 2010.##
  3. Firoozy, P., Khadem, S. E., and Pourkiaee, S. M. “Broadband Energy Harvesting Using Nonlinear Vibrations of a Magnetopiezoelastic Cantilever Beam”, Int. J. Eng. Sci., Vol. 111, No. 5, pp. 113-133, 2017.##
  4. Liu, J.-Q., Fang, H.-B., Xu, Z.-Y., Mao, X.-H., Shen, X.-C., and Chen, D. “A MEMS-Based Piezoelectric Power Generator Array for Vibration Energy Harvesting”, Microelectr. J., Vol. 39, No. 4, pp. 802-806, 2008.##
  5. Shahruz, S. “Design of Mechanical Band-Pass Filters for Energy Scavenging: Multi-Degree-of-Freedom Models”, J. Vib. Control., Vol. 14, No. 1, pp. 753-768, 2008.##
  6. Rezaei, M., Khadem, S. E., and Firoozy, P. “Broadband and Tunable PZT Energy Harvesting Utilizing Local Nonlinearity and Tip Mass Effects”, Int. J. Eng. Sci., Vol. 118, No. 4, pp. 1-15, 2017.##
  7. Churchill, D. L. and Arms, S. W. “Slotted Beam Piezoelectric Composite”, ed: Google Patents, 2010.##
  8. Hosseini, R., Zargar, O., and Hamedi, M. “Improving Power Density of Piezoelectric Vibration Based Energy Scavengers”, Journal of Solid Mechanics., Vol. 10, No. 1, pp. 98-109, 2018.##
  9. Firoozy, P., Khadem, S. E., and Pourkiaee, S. M. “Power Enhancement of Broadband Piezoelectric Energy Harvesting Using a Proof Mass and Nonlinearities in Curvature and Inertia”, Int. J. Mech. Sci., vol. 133, No. 4, pp. 227-239, 2017.##

10. Mahmoodi, S. N., Jalili, N., and Daqaq, M. F. “Modeling, Nonlinear Dynamics, and Identification of a Piezoelectrically Actuated Microcantilever Sensor”, IEEE. ASME. T. Mech., Vol. 13, No. 6, pp. 58-65, 2008.##

11. Stanton, S. C., Erturk, A., Mann, B. P., Dowell, E. H., and Inman, D. J. “Nonlinear Nonconservative Behavior and Modeling of Piezoelectric Energy Harvesters Including Proof Mass Effects”, J. Intel. Mat. Ssyst. Str., Vol. 23, No. 2, pp. 183-199, 2012.##

12. Mann, B. and Sims, N. “Energy Harvesting from the Nonlinear Oscillations of Magnetic Levitation”, J. of S. Vib., Vol. 319, No. 7, pp. 515-530, 2009.##

13. McInnes, C., Gorman, D., and Cartmell, M. P. "Enhanced Vibrational Energy Harvesting Using Nonlinear Stochastic Resonance”, J. of S. Vib, Vol. 318, No.5, pp. 655-662, 2008.##

14. Ramlan, R., Brennan, M., and Mace, B. “Improving the Performance of an Energy Harvesting Device Using Nonlinearity”; Proc. Int. Conf. Data Eng. Michigan, USA, 2008.##

15. Yao, L., Zhang, J., Lu, L., and Lai, M. “Nonlinear Dynamic Characteristics of Piezoelectric Bending Actuators Under Strong Applied Electric Field”, J. Microelectromech. S., Vol. 13, pp. 645-652, 2004.##

16. Vijayan, K., Friswell, M., Khodaparast, H. H., and Adhikari, S. “Non-Linear Energy Harvesting from Coupled Impacting Beams”, Int. J. Mech. Sci., vol. 96, No. 2, pp. 101-109, 2015.##

17. Ali, S. F. and Padhi, R. “Active Vibration Suppression of Non-Linear Beams Using Optimal Dynamic Inversion” P. I. Mech. Eng. I. J. Sys, Vol. 223, No. 6, pp. 657-672, New York, 2009.##

18. Nayfeh, A. H. and Pai, P. F., “Linear and Nonlinear Structural Mechanics”, John Wiley & Sons, 2008.##

19. Mamaghani, A. E., Khadem, S. E., Bab, S., and Pourkiaee, S. M. “Irreversible Passive Energy Transfer of an Immersed Beam Subjected to a Sinusoidal Flow via Local Nonlinear Attachment”, International Journal of Mechanical Sciences, 2018.##

20. Erturk, A. and Inman, D. J. “Piezoelectric Energy Harvesting”, John Wiley & Sons, New York, 2011.##

21. Erturk, A. and Inman, D. J. “A Distributed Parameter Electromechanical Model for Cantilevered Piezoelectric Energy Harvesters”, J. Vib. Acoust, Vol. 130, No. 4, p. 41-52, 2008.##

22. Mamaghani, A. E., Khadem, S. E., and Bab, S. “Vibration Control of a Pipe Conveying Fluid Under External Periodic Excitation Using a Nonlinear Energy Sink”, Nonlinear. Dynam., Vol. 86, No. 3, pp. 1761-1795, 2016.##

23. Pourkiaee, S. M., Khadem, S. E., and Shahgholi, M., “Parametric Resonances of an Electrically Actuated Piezoelectric Nanobeam Resonator Considering Surface Effects and Intermolecular Interactions”, Nonlinear. Dynam., Vol. 84, No. 4, pp. 1943-1960, 2016.##

24. Hosseini, R. and Hamedi, M. “An Investigation into Resonant Frequency of Trapezoidal V-shaped Cantilever Piezoelectric Energy Harvester”, Microsys. Technol., Vol. 22, No. 5, pp. 1127-1134, 2016.##

25. Erturk, A., Friswell, M. I., Ali, S. F., Bilgen, O., Adhikari, S., and Lees, A. W. “Non-Linear Piezoelectric Vibration Energy Harvesting from a Vertical Cantilever Beam with Tip Mass”, J. Intel. Mat. Sys. Str., Vol. 23, No. 5, pp. 1505-1521, 2012.##

26. Hosseini, R., Hamedi, M., Ebrahimi Mamaghani, A., Kim, H. C., Kim, J., and Dayou, J. “Parameter Identification of Partially Covered Piezoelectric Cantilever Power Scavenger Based on the Coupled Distributed Parameter Solution”, Int. J. Smart. Nano Mater., Vol. 8, No. 2, pp. 110-124, 2017.##

27. Hosseini, R., Letafati, H., and Hosseini Moghaddam, S. S. “Vibration Energy Harvesting Using Bimorph Piezoelectric Cantilever”, Journal of Solid and Fluid Mechanics, Vol. 7, No. 1, pp. 1-9, 2017.##

28. Hosseini, R., Hamedi, M., Im, J., Kim, J., and  Dayou, J. “Analytical and Experimental Investigation of Partially Covered Piezoelectric Cantilever Energy Harvester”, Int. J. Precis. Eng. Man, Vol. 18, No. 3, pp. 415-424, 2017.##

29. Bab, S., Khadem, S. E., and Shahgholi, M. “Lateral Vibration Attenuation of a Rotor Under Mass Eccentricity Force using Non-Linear Energy Sink”, Int. J. Nonlin. Mech, Vol. 67, No. 3, pp. 251-266, 2014.##

Aerospace Mechanics
Volume 15, Issue 1 - Serial Number 55
September 2020
Pages 75-88

Files

History

  • Receive Date: 12 July 2017
  • Revise Date: 19 February 2019
  • Accept Date: 19 September 2018
  • Publish Date: 21 April 2019

Share

How to cite

Statistics