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Applied Mathematics and Mechanics

, Volume 40, Issue 12, pp 1777–1790 | Cite as

Low-frequency and broadband vibration energy harvester driven by mechanical impact based on layer-separated piezoelectric beam

  • Dongxing CaoEmail author
  • Wei Xia
  • Wenhua Hu
Open Access
Article
  • 78 Downloads

Abstract

Vibration energy harvesting is to transform the ambient mechanical energy to electricity. How to reduce the resonance frequency and improve the conversion efficiency is very important. In this paper, a layer-separated piezoelectric cantilever beam is proposed for the vibration energy harvester (VEH) for low-frequency and wide-bandwidth operation, which can transform the mechanical impact energy to electric energy. First, the electromechanical coupling equation is obtained by the Euler-Bernoulli beam theory. Based on the average method, the approximate analytical solution is derived and the voltage response is obtained. Furthermore, the physical prototype is fabricated, and the vibration experiment is conducted to validate the theoretical principle. The experimental results show that the maximum power of 0.445 □W of the layer-separated VEH is about 3.11 times higher than that of the non-impact harvester when the excitation acceleration is 0.2 g. The operating frequency bandwidth can be widened by increasing the stiffness of the fundamental layer and decreasing the gap distance of the system. But the increasing of operating frequency bandwidth comes at the cost of reducing peak voltage. The theoretical simulation and the experimental results demonstrate good agreement which indicates that the proposed impact-driving VEH device has advantages for low-frequency and wide-bandwidth. The high performance provides great prospect to scavenge the vibration energy in environment.

Key words

vibration energy harvester (VEH) layer-separated piezoelectric beam low-frequency broad-bandwidth 

Chinese Library Classification

O242 

2010 Mathematics Subject Classification

74S05 

References

  1. [1]
    FANG, Z. W., ZHANG, Y. W., LI, X., DING, H., and CHEN, L. Q. Integration of a nonlinear energy sink and a giant magnetostrictive energy harvester. Journal of Sound and Vibration, 391, 35–49 (2017)CrossRefGoogle Scholar
  2. [2]
    ZOU, H., ZHANG, W., LI, W., WEI, K., HU, K., PENG, Z., and MENG, G. Magnetically coupled flextensional transducer for wideband vibration energy harvesting: design, modeling and experiments. Journal of Sound and Vibration, 416, 55–79 (2018)CrossRefGoogle Scholar
  3. [3]
    PEREZ, M., BOISSEAU, S., GASNIER, P., WILLEMIN, J., GEISLER, M., and REBOUD, J. L. A cm scale electret-based electrostatic wind turbine for low-speed energy harvesting applications. Smart Materials and Structures, 25(4), 045015 (2016)CrossRefGoogle Scholar
  4. [4]
    ZHANG, X., PONDROM, P., SESSLER, G. M., and MA, X. Ferroelectret nanogenerator with large transverse piezoelectric activity. Nano Energy, 50, 52–61 (2018)CrossRefGoogle Scholar
  5. [5]
    ANTON, S. R., FARINHOLT, K. M., and ERTURK, A. Piezoelectret foam-based vibration energy harvesting. Journal of Intelligent Material Systems and Structures, 25(14), 1681–1692 (2014)CrossRefGoogle Scholar
  6. [6]
    LU, Z. Q., LI, K., DING, H., and CHEN, L. Q. Nonlinear energy harvesting based on a modified snap-through mechanism. Applied Mathematics and Mechanics (English Edition), 40(1), 167–180 (2019)  https://doi.org/10.1007/s10483-019-2408-9 MathSciNetCrossRefGoogle Scholar
  7. [7]
    CAO, D. X., LEADENHAM, S., and ERTURK, A. Internal resonance for nonlinear vibration energy harvesting. European Physical Journal-Special Topics, 224(14–15), 2867–2880 (2015)CrossRefGoogle Scholar
  8. [8]
    CAO, D. X., GUO, X. Y., and HU, W. H. A novel low-frequency broadband piezoelectric energy harvester combined with a negative stiffness vibration isolator. Journal of Intelligent Material Systems and Structures, 30(7), 1105–1114 (2019)CrossRefGoogle Scholar
  9. [9]
    ZHANG, W., YAO, Z., and YAO, M. Periodic and chaotic dynamics of composite laminated piezoelectric rectangular plate with one-to-two internal resonance. Science China-Technological Sciences, 52(3), 731–742 (2009)CrossRefGoogle Scholar
  10. [10]
    ZHANG, W., WU, Q. L., and MA, W. S. Chaotic wave motions and chaotic dynamic responses of piezoelectric laminated composite rectangular thin plate under combined transverse and in-plane excitations. International Journal of Applied Mechanics, 10(10), 28 (2018)Google Scholar
  11. [11]
    ERTURK, A., HOFFMANN, J., and INMAN D. J. A piezomagnetoelastic structure for broadband vibration energy harvesting. Applied Physics Letters, 94(25), 254102 (2009)CrossRefGoogle Scholar
  12. [12]
    SUN, S. and CAO, S. Q. Analysis of chaos behaviors of a bistable piezoelectric cantilever power generation system by the second-order Melnikov function. Acta Mechanica Sinica, 33(1), 200–207 (2017)MathSciNetCrossRefGoogle Scholar
  13. [13]
    LAN, C., QIN, W., and DENG, W. Energy harvesting by dynamic unstability and internal resonance for piezoelectric beam. Applied Physics Letters, 107(9), 093902 (2015)CrossRefGoogle Scholar
  14. [14]
    ZHOU, S., CAO, J., INMAN, D. J., LIN, J., LIU, S., and WANG, Z. Broadband tristable energy harvester: modeling and experiment verification. Applied Energy, 133, 33–39 (2014)CrossRefGoogle Scholar
  15. [15]
    ZHOU, S. and ZUO, L. Nonlinear dynamic analysis of asymmetric tristable energy harvesters for enhanced energy harvesting. Communications in Nonlinear Science and Numerical Simulation, 61, 271–284 (2018)MathSciNetCrossRefGoogle Scholar
  16. [16]
    LAI, S. K., WANG, C., and ZHANG, L. H. A nonlinear multi-stable piezomagnetoelastic harvester array for low-intensity, low-frequency, and broadband vibrations. Mechanical Systems and Signal Processing, 122, 87–102 (2019)CrossRefGoogle Scholar
  17. [17]
    YUAN, T. C., YANG, J., and CHEN, L. Q. Nonlinear dynamics of a circular piezoelectric plate for vibratory energy harvesting. Communications in Nonlinear Science and Numerical Simulation, 59, 651–656 (2018)MathSciNetCrossRefGoogle Scholar
  18. [18]
    ZHAO, L. C., ZOU, H. X., YAN, G., ZHANG, W. M., PENG, Z. K., and MENG, G. Arbitrary-directional broadband vibration energy harvesting using magnetically coupled flextensional transducers. Smart Materials and Structures, 27(9), 095010 (2018)CrossRefGoogle Scholar
  19. [19]
    LIU, D., XU, Y., and LI, J. L. Probabilistic response analysis of nonlinear vibration energy harvesting system driven by Gaussian colored noise. Chaos Solitons & Fractals, 104, 806–812 (2017)CrossRefGoogle Scholar
  20. [20]
    LU, Z. Q., CHEN, L. Q., BRENNAN, M. J., YANG, T., DING, H., and LIU, Z. G. Stochastic resonance in a nonlinear mechanical vibration isolation system. Journal of Sound and Vibration, 370, 221–229 (2016)CrossRefGoogle Scholar
  21. [21]
    LIU, D., XU, Y., and LI, J. Randomly-disordered-periodic-induced chaos in a piezoelectric vibration energy harvester system with fractional-order physical properties. Journal of Sound and Vibration, 399, 182–196 (2017)CrossRefGoogle Scholar
  22. [22]
    LU, Z. Q., DING, H., and CHEN, L. Q. Resonance response interaction without internal resonance in vibratory energy harvesting. Mechanical Systems and Signal Processing, 121, 767–776 (2019)CrossRefGoogle Scholar
  23. [23]
    UMEDA, M., NAKAMURA, K., and UEHA, S. Analysis of the transformation of mechanical impact energy to electric energy using piezoelectric vibrator. Japanese Journal of Applied Physics Part 1-Regular Papers Short Notes & Review Papers, 35(5B), 3267–3273 (1996)CrossRefGoogle Scholar
  24. [24]
    HALIM, M. A., KIM, D. H., and PARK, J. Y. Low frequency vibration energy harvester using stopper-engaged dynamic magnifier for increased power and wide bandwidth. Journal of Electrical Engineering & Technology, 11(3), 707–714 (2016)CrossRefGoogle Scholar
  25. [25]
    HALIM, M. A. and PARK, J. Y. Piezoceramic based wideband energy harvester using impact-enhanced dynamic magnifier for low frequency vibration. Ceramics International, 41, S702–S707 (2015)CrossRefGoogle Scholar
  26. [26]
    HALIM, M. A. and PARK, J. Y. Theoretical modeling and analysis of mechanical impact driven and frequency up-converted piezoelectric energy harvester for low-frequency and wide-bandwidth operation. Sensors and Actuators A: Physical, 208, 56–65 (2014)CrossRefGoogle Scholar
  27. [27]
    LIU, H., LEE, C., KOBAYASHI, T., TAY, C. J., and QUAN, C. Investigation of a MEMS piezoelectric energy harvester system with a frequency-widened-bandwidth mechanism introduced by mechanical stoppers. Smart Materials and Structures, 21(3), 035005 (2012)CrossRefGoogle Scholar
  28. [28]
    LI, S., CROVETTO, A., PENG, Z., ZHANG, A., HANSEN, O., WANG, M., LI, X., and WANG, F. Bi-resonant structure with piezoelectric PVDF films for energy harvesting from random vibration sources at low frequency. Sensors and Actuators A: Physical, 247, 547–554 (2016)CrossRefGoogle Scholar
  29. [29]
    YUAN, T. C., YANG, J., and CHEN, L. Q. A harmonic balance approach with alternating frequency/time domain progress for piezoelectric mechanical systems. Mechanical Systems and Signal Processing, 120, 274–289 (2019)CrossRefGoogle Scholar
  30. [30]
    DECHANT, E., FEDULOV, F., CHASHIN, D. V., FETISOV, L. Y., FETISOV, Y. K., and SHAMONIN M. Low-frequency, broadband vibration energy harvester using coupled oscillators and frequency up-conversion by mechanical stoppers. Smart Materials and Structures, 26(6), 065021 (2017)CrossRefGoogle Scholar
  31. [31]
    LIU, S., CHENG, Q., ZHAO, D., and FENG, L. Theoretical modeling and analysis of two-degree-of-freedom piezoelectric energy harvester with stopper. Sensors and Actuators A: Physical, 245, 97–105 (2016)CrossRefGoogle Scholar
  32. [32]
    ZHAO, D., LIU, S., XU, Q., SUN, W., WANG, T., and CHENG, Q. Theoretical modeling and analysis of a 2-degree-of-freedom hybrid piezoelectric-electromagnetic vibration energy harvester with a driven beam. Journal of Intelligent Material Systems and Structures, 29(11), 2465–2476 (2018)CrossRefGoogle Scholar

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© The Author(s) 2019

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

Authors and Affiliations

  1. 1.College of Mechanical EngineeringBeijing University of TechnologyBeijingChina
  2. 2.Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical StructuresBeijingChina
  3. 3.School of Mechanical EngineeringTianjin University of TechnologyTianjinChina

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