---

Journal of Vibration Testing and System Dynamics 7(3) (2023) 265--273 | DOI:10.5890/JVTSD.2023.09.002

Ilham Kirrou$^{1}$, Amine Bichri$^{2}$, Mohamed Belhaq$^{3}$

$^{1}$ MISI Laboratory, FST Settat, University Hassan I, Morocco

$^{2}$ Department of physics, Laboratory of M3ER, FSTE, Moulay Ismail University of Meknes, Morocco

$^{3}$ University Hassan II Casablanca, Morocco

Download Full Text PDF

 

Abstract

The paper studies quasiperiodic vibration-based energy harvesting in a forced and delayed Rayleigh-Duffing oscillator coupled to a piezoelectric circuit. The study focuses on the effect of the time delay on the output power performance near the subharmonic resonance of order 3. Using the multiple scales method, quasiperiodic solutions and the corresponding output powers are obtained near the subharmonic resonance. The effect of the delay parameters on the energy extraction performance is analyzed in the case where the delay is introduced either in the position, in the velocity or in both. The analytical results supported by numerical simulations showed the potential of the time delay to achieve hight quasiperiodic output power over a large bandwidth around the 3-subharmonic resonance region.

References

1. [1]	He, X.F. and Gao, J. (2013), Wind energy harvesting based on flow-induced-vibration and impact, Microelectronic Engineering, 111, 82-86.

2. [2]	Renno, J.M., Daqaq, M.F., and Inman, D.J. (2009), On the optimal energy harvesting from a vibration source, Journal of Sound and Vibration, 320, 386-405.

3. [3]	Gammaitoni, L., Neri, I., and Vocca, H. (2009), Nonlinear oscillators for vibration energy harvesting, Applied Physics Letters, 94, 164102-164105.

4. [4]	Stanton, S., McGehee, C., and Mann, B. (2010), Nonlinear dynamics for broadband energy harvesting, investigation of a bistable piezoelectric inertial generator, Physica D, 239(10), 640-653.

5. [5]	Kumar, R., Gupta, S., and Ali, S.F., (2019), Mechanical systems and signal processing energy harvesting from chaos in base excited double pendulum, Mechanical Systems and Signal Processing, 124, 49-64.

6. [6]	Riemer, R. and Shapiro, A. (2011), Biomechanical energy harvesting from human motion: theory, state of the art, design guidelines, and future directions, Journal of NeuroEngineering and Rehabilitation, 8, 22.

7. [7]	Belhaq, M. and Hamdi, M. (2016), Energy harvesting from quasiperiodic vibrations, Nonlinear Dynamics, 86, 2193-2205.

8. [8]	Ghouli, Z., Hamdi, M., Lakrad, F., and Belhaq, M. (2017), Quasiperiodic energy harvesting in a forced and delayed Duffing harvester device, Journal of Sound and Vibration, 407, 271-285.

9. [9]	Belhaq, M., Ghouli, Z., and Hamdi, M. (2018), Energy harvesting in a Mathieu-van der Pol-Duffing MEMS device using time delay, Nonlinear Dynamics, 94, 2537-2546.

10. [10]	Huguet, T., Badel, A., and Lallart, M. (2017), Exploiting bistable oscillator subharmonics for magnified broadband vibration energy harvesting, Applied Physics Letters, 111, 173905.

11. [11]	Huguet, T., Badel, A., Druet, O., and Lallart, M. (2018), Drastic bandwidth enhancement of bistable energy harvesters: Study of subharmonic behaviors and their stability robustness, Applied Energy, 226, 607-617.

12. [12]	Panyam, M., Daqaq, M.F., and Emam, S.A., (2018), Exploiting the subharmonic parametric resonances of a buckled beam for vibratory energy harvesting, Meccanica, 53, 3545-3564.

13. [13]	Litak, G., Ambrozkiewicz, B., and Wolszczak, P. (2021), Dynamics of a nonlinear energy harvester with subharmonic responses, Journal of Physics: Conference Series, 1736, 012032.

14. [14]	Masana, R. and Daqaq, M.F. (2012), Energy harvesting in the super-harmonic frequency region of a twin-well oscillator, Journal of Applied Physics, 111, 044501.

15. [15]	Bichri, A., Kirrou, I., and Belhaq, M. (2020), Energy harvesting from quasiperiodic vibrations in a delayed rayleigh-duffing harvester device, Journal of Vibration Testing and System Dynamics, 42(2), 191-200.

16. [16]	Nayfeh, A.H. and Mook, D.T. (1979), Nonlinear Oscillations, Wiley, New York.

17. [17]	Nayfeh, A.H. (1981), Introduction to Perturbation Techniques, New York: Wiley.

18. [18]	Belhaq, M. and Houssni, M. (1999), Quasi-periodic oscillations, chaos and suppression of chaos in a nonlinear oscillator driven by parametric and external excitations, Nonlinear Dynamics, 18, 1-24.

19. [19]	Shampine, L.F. and Thompson, S. (2001), Solving DDEs in Matlab, Applied Numerical Mathematics, 37(4), 441-458.