Abstract
Purpose
This paper investigates a vibration energy harvester with a triangular structure for lowfrequency vibrations, focusing on the analysis of nonlinear stiffness and damping characteristics generated by the structure itself for advantageous harvesting performance.
Methods
First, Euler–Lagrange equation of the system is established based on Hamilton’s principle. Then, with the mathematical modeling, the dynamic response of the system is derived using Harmonic Balance Method, which is discussed by numerical analysis. Based on the analytical solutions, the effects on harvesting power changed by different assembly angles, connecting rod length and excitation amplitudes are studied particularly. The advantageous harvesting performance of the proposed system is shown by comparing it with a corresponding conventional linear system.
Results
The result shows that the triangular structure in the system is beneficial for expanding the power output and energy-harvesting bandwidth. Further, the resonant frequency of the system can be tuned to a desired value by adjusting the assembly angle according to the characteristics of surrounding vibration sources.
Conclusions
Therefore, the harvester system in this work is demonstrated to provide an effective method for design to scavenge the low-frequency vibration energy from the ambient environment in engineering.
Similar content being viewed by others
Data availability
The data that support the findings of this study are available on request from the corresponding author upon reasonable request.
References
Huang X, Yang B (2021) Improving energy harvesting from impulsive excitations by a nonlinear tunable bistable energy harvester. ScienceDirect. Mech Syst Signal Process. https://doi.org/10.1016/j.ymssp.2021.107797
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
Sah DK, Amgoth T (2020) Renewable energy harvesting schemes in wireless sensor networks: a survey. Inf Fusion. https://doi.org/10.1016/j.inffus.2020.07.005
Kausar A, Reza AW, Saleh MU et al (2014) Energizing wireless sensor networks by energy harvesting systems: Scopes, challenges and approaches. Renew Sustain Energy Rev 38:973–989. https://doi.org/10.1016/j.rser.2014.07.035
Fan KQ, Zhang YW, Liu HY et al (2019) A nonlinear two-degree-of-freedom electromagnetic energy harvester for ultra-low frequency vibrations and human body motions. Renew Energy 138:292–302. https://doi.org/10.1016/j.renene.2019.01.105
Zorlu Z, Külah H (2013) A MEMS-based energy harvester for generating energy from non-resonant environmental vibrations. Sens Actuat A 202:124–134. https://doi.org/10.1016/j.sna.2013.01.032
Fan K, Chang J, Pedrycz W et al (2015) A nonlinear piezoelectric energy harvester for various mechanical motions. Appl Phys Lett 106(22):094102. https://doi.org/10.1063/1.4922212
Liu W, Liu C, Ren B et al (2016) Bandwidth increasing mechanism by introducing a curve fixture to the cantilever generator. Appl Phys Lett 109(4):18–1302. https://doi.org/10.1063/1.4960147
Fan K, Liu S, Liu H et al (2018) Scavenging energy from ultra-low frequency mechanical excitations through a bi-directional hybrid energy harvester. Appl Energy 216:8–20. https://doi.org/10.1016/j.apenergy.2018.02.086
Tang L, Yang Y, Soh CK (2012) Improving functionality of vibration energy harvesters using magnets. J Intell Mater Syst Struct 13:1433–1449. https://doi.org/10.1177/1045389X12443016
Zhang H, Corr LR, Ma T (2018) Issues in vibration energy harvesting. J Sound Vib 421:79–90. https://doi.org/10.1016/j.jsv.2018.01.057
Staaf LGH, Smith AD, Lundgren P et al (2018) Effective piezoelectric energy harvesting with bandwidth enhancement by assymetry augmented self-tuning of conjoined cantilevers. Int J Mech Sci 150:1–11. https://doi.org/10.1016/j.ijmecsci.2018.09.050
Wang DF, Zhu YF, Yang X et al (2018) A ball-impact piezoelectric converter wrapped by copper coils. IEEE Trans Nanotechnol 17:723–726. https://doi.org/10.1109/tnano.2018.2823342
Lai SK, Wang C, Zhang LH (2019) A nonlinear multi-stable piezomagnetoelastic harvester array for low-intensity, low-frequency, and broadband vibrations. Mech Syst Signal Process 122:87–102. https://doi.org/10.1016/j.ymssp.2018.12.020
Zhao D, Liu SG, Xu QT et al (2018) Theoretical modeling and analysis of a 2-degree-of-freedom hybrid piezoelectric-electromagnetic vibration energy harvester with a driven beam. J Intell Mater Syst Struct 29:2465–2476. https://doi.org/10.1177/1045389x18770870
Rajarathinam M, Ali SF (2018) Energy generation in a hybrid harvester under harmonic excitation. Energy Convers Manag 155:10–19. https://doi.org/10.1016/j.enconman.2017.10.054
Fan K, Tan Q, Zhang Y et al (2018) A monostable piezoelectric energy harvester for broadband low-level excitations. Appl Phys Lett 112(12):1239011–1239015. https://doi.org/10.1063/1.5022599
Yang K, Qiu T, Wang JL et al (2020) Magnet-induced monostable nonlinearity for improving the VIV-galloping-coupled wind energy harvesting using combined cross-sectioned bluff body. Smart Mater Struct. https://doi.org/10.1088/1361-665X/ab874c
Zhang XT, Tian XL, Xiao LF et al (2018) Application of an adaptive bistable power capture mechanism to a point absorber wave energy converter. Appl Energy 228:450–467. https://doi.org/10.1016/j.apenergy.2018.06.100
Yi SH, He XQ, Lu J (2020) Improving bistable properties of metallic shells using a nanostructuring technique. Thin-Walled Struct. https://doi.org/10.1016/j.tws.2019.106444
Yao MH, Ma L, Zhang W (2018) Study on power generations and dynamic responses of the bistable straight beam and the bistable L-shaped beam. Sci China Technol Sci 61:1404–1416. https://doi.org/10.1007/s11431-017-9179-0
Huang XB (2021) Stochastic resonance in a piecewise bistable energy harvesting model driven by harmonic excitation and additive Gaussian white noise. Appl Math Model 90:505–526. https://doi.org/10.1016/j.apm.2020.09.023
Lai ZH, Liu JS, Zhang HT et al (2019) Multi-parameter-adjusting stochastic resonance in a standard tri-stable system and its application in incipient fault diagnosis. Nonlinear Dyn 96:2069–2085. https://doi.org/10.1007/s11071-019-04906-w
Kuang Y, Zhu M (2019) Parametrically excited nonlinear magnetic rolling pendulum for broadband energy harvesting. Appl Phys Lett. https://doi.org/10.1063/1.5097552
Thomson G, Lai Z, Val DV et al (2019) Advantages of nonlinear energy harvesting with dielectric elastomers. J Sound Vib 442:167–182. https://doi.org/10.1016/j.jsv.2018.10.066
Lenz WB, Ribeiro MA, Rocha RT et al (2021) Numerical simulations and control of offshore energy harvesting using piezoelectric materials in a portal frame structure. Shock Vib. https://doi.org/10.1155/2021/6651999
Liu YQ, Xu LL, Song CF et al (2019) Dynamic characteristics of a quasi-zero stiffness vibration isolator with nonlinear stiffness and damping. Arch Appl Mech 89:1743–1759. https://doi.org/10.1007/s00419-019-01541-0
Shahraeeni M, Sorokin V, Mace B et al (2022) Effect of damping nonlinearity on the dynamics and performance of a quasi-zero-stiffness vibration isolator. J Sound Vib. https://doi.org/10.1016/j.jsv.2022.116822
Zhang A, Sorokin V, Li H (2021) Energy harvesting using a novel autoparametric pendulum absorber-harvester. J Sound Vib. https://doi.org/10.1016/j.jsv.2021.116014
Le TD, Ahn KK (2011) A vibration isolation system in low frequency excitation region using negative stiffness structure for vehicle seat. J Sound Vib 330(26):6311–6335. https://doi.org/10.1016/j.jsv.2011.07.039
Sun X, Jing X (2016) A nonlinear vibration isolator achieving high-static-low-dynamic stiffness and tunable anti-resonance frequency band. Mech Syst Signal Process 80:166–188. https://doi.org/10.1016/j.ymssp.2016.04.011
Zhang Y, Wang T, Zhang A et al (2016) Electrostatic energy harvesting device with dual resonant structure for wideband random vibration sources at low frequency. Rev Sci Instrum 87(12):1251. https://doi.org/10.1063/1.4968811
Acknowledgements
This work was supported by National Natural Science Foundation of China [51905081], Natural Science Foundation of Hebei Province [E2019501117], the Fundamental Research Funds for the Central Universities [N2223028], and China Scholarship Council [202106085007].
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of Interest
The authors declare no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Chen, X., Jiao, Z. & Shi, J. Investigations of Vibration Energy Harvester Applying the Triangular Structure with a Tunable Resonant Frequency. J. Vib. Eng. Technol. 12, 2043–2053 (2024). https://doi.org/10.1007/s42417-023-00963-z
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s42417-023-00963-z