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Design of triple-beam internal-impact piezoelectric harvester optimized for energy and bandwidth

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Abstract

Innovative design and maintenance approaches, such as using digital twins, require new sensors to inspect physical machines and send data through digital threads. In many situations, these sensors do not have access to a power source such as batteries or an electric power grid. Thus, capturing energy from vibration with energy harvesting devices is a way to feed these remote sensors. However, the machines vibrate over a large frequency bandwidth, which could significantly lessen the harvester energy recovery potential, once its efficiency is directly dependent on fitting its structure's natural frequency with the vibration source frequency. Aiming to improve energy recovery capacity, this article presents a new configuration for piezoelectric vibration energy harvesters with low-frequency band extension through the nonlinearity of internal impacts. The proposed design consists of triple-beam harvesters fixed to the same exciter base with masses aligned at their ends. The mathematical model of its electromechanical behavior is presented, as well as the formulation and optimization criteria for maximizing the power and the band of the system. By optimizing the proposed design, the operating range of a traditional system was extended by 158% without a significant power reduction. It is also noteworthy to obtain configurations with peak power output above 60 mW, for low frequencies. From these results, the proposed configuration shows substantial improvement over current alternatives to harvest energy in an ultralow-frequency environment.

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References

  1. Rahman MT, Rana SMS, Salauddin M, Maharjan P, Bhatta T, Kim H et al (2020) A highly miniaturized freestanding kinetic-impact-based non-resonant hybridized electromagnetic-triboelectric nanogenerator for human induced vibrations harvesting. Appl Energy 279:115799

    Article  Google Scholar 

  2. Carneiro P, dos Santos MPS, Rodrigues A, Ferreira JAF, Simões JAO, Marques AT et al (2020) Electromagnetic energy harvesting using magnetic levitation architectures: A review. Appl Energy 260:114191

    Article  Google Scholar 

  3. Maamer B, Boughamoura A, Fath El-Bab AMR, Francis LA, Tounsi F (2019) A review on design improvements and techniques for mechanical energy harvesting using piezoelectric and electromagnetic schemes. Energy Convers Manag 199:111973. https://doi.org/10.1016/j.enconman.2019.111973

    Article  Google Scholar 

  4. Ebrahimian F, Kabirian Z, Younesian D, Eghbali P (2021) Auxetic clamped-clamped resonators for high-efficiency vibration energy harvesting at low-frequency excitation. Appl Energy 295:117010. https://doi.org/10.1016/j.apenergy.2021.117010

    Article  Google Scholar 

  5. Uchino K (2018) Piezoelectric Energy Harvesting Systems - Essentials to Successful Developments. Energ Technol 6:829–848. https://doi.org/10.1002/ente.201700785

    Article  Google Scholar 

  6. Wei C, Jing X (2017) A comprehensive review on vibration energy harvesting: Modelling and realization. Renew Sustain Energy Rev 74:1–18. https://doi.org/10.1016/j.rser.2017.01.073

    Article  MathSciNet  Google Scholar 

  7. Sodano HA, Inman DJ, Park G (2004) A review of power harvesting from vibration using piezoelectric materials. Shock Vib Dig 36:197–205. https://doi.org/10.1177/0583102404043275

    Article  Google Scholar 

  8. Roundy S, Wright PK, Rabaey J (2003) A study of low level vibrations as a power source for wireless sensor nodes. Comput Commun 26:1131–1144. https://doi.org/10.1016/S0140-3664(02)00248-7

    Article  Google Scholar 

  9. Lopes MV, Eckert JJ, Martins TS, Santos AA (2020) Optimizing strain energy extraction from multi-beam piezoelectric devices for heavy haul freight cars. J Braz Soc Mech Sci Eng 42:1–12. https://doi.org/10.1007/s40430-019-2150-8

    Article  Google Scholar 

  10. Zhou K, Dai HL, Abdelkefi A, Zhou HY, Ni Q (2019) Impacts of stopper type and material on the broadband characteristics and performance of energy harvesters. AIP Adv. https://doi.org/10.1063/15086785

    Article  Google Scholar 

  11. Li H, Liu D, Wang J, Shang X, Hajj MR (2020) Broadband bimorph piezoelectric energy harvesting by exploiting bending-torsion of L-shaped structure. Energy Convers Manag 206:112503. https://doi.org/10.1016/j.enconman.2020.112503

    Article  Google Scholar 

  12. Kim T, Ko Y, Yoo C, Choi B, Han S, Kim N (2020) Design optimisation of wide-band piezoelectric energy harvesters for self-powered devices. Energy Convers Manag 225:113443. https://doi.org/10.1016/j.enconman.2020.113443

    Article  Google Scholar 

  13. Li Y, Zhou S, Yang Z, Guo T, Mei X (2019) High-performance low-frequency bistable vibration energy harvesting plate with tip mass blocks. Energy 180:737–750. https://doi.org/10.1016/j.energy.2019.05.002

    Article  Google Scholar 

  14. Izak Ghasemian S, Alizadeh M (2020) Lowering the resonance frequency of a two-dimensional high-power piezoelectric energy harvester with reducing the stiffness of the harvester. Appl Phys A Mater Sci Process 126:1–5. https://doi.org/10.1007/s00339-020-3299-9

    Article  Google Scholar 

  15. Sun R, Li Q, Yao J, Scarpa F, Rossiter J (2020) Tunable, multi-modal, and multi-directional vibration energy harvester based on three-dimensional architected metastructures. Appl Energy 264:114615. https://doi.org/10.1016/j.apenergy.2020.114615

    Article  Google Scholar 

  16. Pan J, Qin W, Deng W, Zhang P, Zhou Z (2021) Harvesting weak vibration energy by integrating piezoelectric inverted beam and pendulum. Energy 227:120374. https://doi.org/10.1016/j.energy.2021.120374

    Article  Google Scholar 

  17. Zayed Assal, Nakano Kaizuka, El-Bab. (2019) Design Procedure and Experimental Verification of a Broadband Quad-Stable 2-DOF Vibration Energy Harvester. Sens 19:2893. https://doi.org/10.3390/s19132893

    Article  Google Scholar 

  18. Jiang J, Liu S, Zhao D, Feng L (2019) Broadband power generation of piezoelectric vibration energy harvester with magnetic coupling. J Intell Mater Syst Struct 30:2272–2282. https://doi.org/10.1177/1045389X19862642

    Article  Google Scholar 

  19. Ramalingam U, Gandhi U, Mangalanathan U, Choi S-B (2018) A new piezoelectric energy harvester using two beams with tapered cavity for high power and wide broadband. Int J Mech Sci 142:224–234. https://doi.org/10.1016/j.ijmecsci.2018.05.003

    Article  Google Scholar 

  20. Hu G, Tang L, Das R, Marzocca P (2018) A two-degree-of-freedom piezoelectric energy harvester with stoppers for achieving enhanced performance. Int J Mech Sci 149:500–507. https://doi.org/10.1016/j.ijmecsci.2017.07.051

    Article  Google Scholar 

  21. Zhou K, Dai HL, Abdelkefi A, Ni Q (2020) Theoretical modeling and nonlinear analysis of piezoelectric energy harvesters with different stoppers. Int J Mech Sci 166:105233. https://doi.org/10.1016/j.ijmecsci.2019.105233

    Article  Google Scholar 

  22. Vijayan K, Friswell MI, Haddad Khodaparast H, Adhikari S (2015) Non-linear energy harvesting from coupled impacting beams. Int J Mech Sci 96:101–109. https://doi.org/10.1016/j.ijmecsci.2015.03.001

    Article  Google Scholar 

  23. Zhang J, Qin L (2019) A tunable frequency up-conversion wideband piezoelectric vibration energy harvester for low-frequency variable environment using a novel impact- and rope-driven hybrid mechanism. Appl Energy 240:26–34. https://doi.org/10.1016/j.apenergy.2019.01.261

    Article  Google Scholar 

  24. Kim P, Seok J (2015) Dynamic and energetic characteristics of a tri-stable magnetopiezoelastic energy harvester. Mech Mach Theory 94:41–63. https://doi.org/10.1016/J.MECHMACHTHEORY.2015.08.002

    Article  Google Scholar 

  25. Bolat FC, Basaran S, Sivrioglu S (2019) Piezoelectric and electromagnetic hybrid energy harvesting with low-frequency vibrations of an aerodynamic profile under the air effect. Mech Syst Signal Process 133:106246. https://doi.org/10.1016/j.ymssp.2019.106246

    Article  Google Scholar 

  26. Hu G, Wang J, Tang L (2021) A comb-like beam based piezoelectric system for galloping energy harvesting. Mech Syst Signal Process 150:107301. https://doi.org/10.1016/j.ymssp.2020.107301

    Article  Google Scholar 

  27. Liu J, Liu J, Zhang X, Liu B (2021) Transmission and energy-harvesting study for a novel active suspension with simplified 2-DOF multi-link mechanism. Mech Mach Theory. https://doi.org/10.1016/J.MECHMACHTHEORY.2021.104286

    Article  Google Scholar 

  28. Yang Z, Zhou S, Zu J, Inman DJ (2018) High-performance piezoelectric energy harvesters and their applications. Joule 2:642–697. https://doi.org/10.1016/j.joule.2018.03.011

    Article  Google Scholar 

  29. Safaei M, Sodano HA, Anton SR (2019) A review of energy harvesting using piezoelectric materials: state-of-the-art a decade later (2008–2018). Smart Mater Struct 28:113001. https://doi.org/10.1088/1361-665x/ab36e4

    Article  Google Scholar 

  30. Naderi A, Fakher M, Hosseini-Hashemi S (2021) On the local/nonlocal piezoelectric nanobeams: Vibration, buckling, and energy harvesting. Mech Syst Signal Process 151:107432. https://doi.org/10.1016/j.ymssp.2020.107432

    Article  Google Scholar 

  31. Tran N, Ghayesh MH, Arjomandi M (2018) Ambient vibration energy harvesters: A review on nonlinear techniques for performance enhancement. Int J Eng Sci 127:162–185. https://doi.org/10.1016/j.ijengsci.2018.02.003

    Article  MathSciNet  MATH  Google Scholar 

  32. Daqaq MF, Masana R, Erturk A, Quinn DD (2014) On the role of nonlinearities in vibratory energy harvesting: A critical review and discussion. Appl Mech Rev. https://doi.org/10.1115/1.4026278

    Article  Google Scholar 

  33. Ju S, Ji C-HH (2018) Impact-based piezoelectric vibration energy harvester. Appl Energy 214:139–51. https://doi.org/10.1016/j.apenergy.2018.01.076

    Article  Google Scholar 

  34. Halim MA, Kim DH, Park JY (2016) Low frequency vibration energy harvester using stopper-engaged dynamic magnifier for increased power and wide bandwidth. J Electric Eng Technol 11:707–714. https://doi.org/10.5370/JEET.2016.11.3.707

    Article  Google Scholar 

  35. Zhao L, Yang Y (2018) An impact-based broadband aeroelastic energy harvester for concurrent wind and base vibration energy harvesting. Appl Energy 212:233–243. https://doi.org/10.1016/j.apenergy.2017.12.042

    Article  Google Scholar 

  36. Jacquelin E, Adhikari S, Friswell MI (2011) A piezoelectric device for impact energy harvesting. Smart Mater Struct 20:105008. https://doi.org/10.1088/0964-1726/20/10/105008

    Article  Google Scholar 

  37. Wang H, Mao M, Liu Y, Qin H, Zhang M, Zhao W (2019) mImpact energy harvesting system using mechanical vibration frequency stabilizer. Smart Mater Struct. https://doi.org/10.1088/1361-665X/ab1e9a

    Article  Google Scholar 

  38. Wang C, Yang X, Lai SK. Nonlinear Dynamics and Performance Enhancement of Multi-stable Wideband Energy Harvesting: Theoretical Analysis. IOP Conference Series: Materials Science and Engineering 2019;531. https://doi.org/10.1088/1757-899X/531/1/012040.

  39. Liu H, Lee C, Kobayashi T, Tay CJ, Quan C (2012) Investigation of a MEMS piezoelectric energy harvester system with a frequency-widened-bandwidth mechanism introduced by mechanical stoppers. Smart Mater Struct 21:035005. https://doi.org/10.1088/0964-1726/21/3/035005

    Article  Google Scholar 

  40. Li X, Li Z, Huang H, Wu Z, Huang Z, Mao H et al (2020) Broadband spring-connected bi-stable piezoelectric vibration energy harvester with variable potential barrier. Results in Physics 18:103173. https://doi.org/10.1016/j.rinp.2020.103173

    Article  Google Scholar 

  41. Essink BC, Hobeck JD, Owen RB, Inman DJ (2015) Magnetoelastic energy harvester for structural health monitoring applications. Act Passiv Smart Struct Integr Syst. https://doi.org/10.1117/12.2084580

    Article  Google Scholar 

  42. Hobeck JD, Inman DJ (2017) Recursive formulae and performance comparisons for first mode dynamics of periodic structures. Smart Mater Struct 26:55028. https://doi.org/10.1088/1361-665X/aa672b

    Article  Google Scholar 

  43. Lopes MV, Eckert JJ, Martins TS, Santos AA (2021) Multi-objective optimization of piezoelectric vibrational energy harvester orthogonal spirals for ore freight cars. J Braz Soc Mech Sci Eng 43:295. https://doi.org/10.1007/s40430-021-03014-4

    Article  Google Scholar 

  44. Lu F, Lee HP, Lim SP (2004) Modeling and analysis of micro piezoelectric power generators for micro-electromechanical-systems applications. Smart Mater Struct 13:57–63. https://doi.org/10.1088/0964-1726/13/1/007

    Article  Google Scholar 

  45. Popov VL (2003) Contact Mechanics and Friction, vol 53. Springer, Berlin Heidelberg, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10803-7

    Book  Google Scholar 

  46. Weir G, Tallon S (2005) The coefficient of restitution for normal incident, low velocity particle impacts. Chem Eng Sci 60:3637–3647. https://doi.org/10.1016/j.ces.2005.01.040

    Article  Google Scholar 

  47. Gen M, Cheng R, Lin L (2008) Network models and optimization: Multiobjective genetic algorithm approach. Springer Science & Business Media

    MATH  Google Scholar 

  48. Silva FL, Silva LCA, Eckert JJ, Lourenço MAM (2022) Robust fuzzy stability control optimization by multi-objective for modular vehicle. Mech Mach Theory 167:104554. https://doi.org/10.1016/J.MECHMACHTHEORY.2021.104554

    Article  Google Scholar 

  49. Santos AA, Lopes MV, Gonçalves V, Eckert JJ, Martins TS. (2018) Vibration Energy Harvesting to Power Ultrasonic Sensors in Heavy Haul Railway Cars. Volume 6A: Energy, vol. 6A-144113, In ASME; p. V06AT08A021. https://doi.org/10.1115/IMECE2018-87836.

  50. Eckert JJ, Filgueira S, da Silva F, Santiciolli M, Chagas Á, de Carvalho F, Dedini G (2021) Multi-speed gearbox design and shifting control optimization to minimize fuel consumption, exhaust emissions and drivetrain mechanical losses. Mech Mach Theory. https://doi.org/10.1016/j.mechmachtheory.2021.104644

    Article  Google Scholar 

  51. Eckert JJ, Santiciolli FM, Silva LCA, Dedini FG (2021) Vehicle drivetrain design multi-objective optimization. Mech Mach Theory 156:104123. https://doi.org/10.1016/j.mechmachtheory.2020.104123

    Article  Google Scholar 

  52. Ung C, Moss SD, Chiu WK (2016) Vibration energy harvesting from heavy haul railcar vibrations using a two-degree-of-freedom coupled oscillating system. Proc Inst Mech Eng, Part F: J Rail Rapid Transit 230:924–934. https://doi.org/10.1177/0954409715569861

    Article  Google Scholar 

  53. Beeby SP, White N. Energy Harvesting for Autonomous Systems. Artech House; 2010.

  54. Xiong L, Tang L, Mace BR. Internal resonance with commensurability induced by an auxiliary oscillator for br

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Acknowledgements

This work was funded in part by the National Council for Scientific and Technological Development (CNPq), research grant 315304/2018-9. The authors thank the University of Campinas (Brazil) for sponsoring the research.

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Correspondence to Matheus Valente Lopes.

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Technical Editor: Pedro Manuel Calas Lopes Pacheco.

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Lopes, M.V., Dias, A.P.C., Eckert, J.J. et al. Design of triple-beam internal-impact piezoelectric harvester optimized for energy and bandwidth. J Braz. Soc. Mech. Sci. Eng. 44, 242 (2022). https://doi.org/10.1007/s40430-022-03553-4

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