Abstract
Introduction
The centrifugal effect, gravity effect and bi-stable restoring effect and their combinations have great influences on the potential wells and dynamic behaviors of rotational vibration energy harvester (RVEH). However, the mechanisms of their combinations on improving the energy harvesting performance of the RVEH have not yet been well explored. This study aims to enforce the energy harvesting performance of RVEH by considering the combinations of the centrifugal effect, gravity effect and bi-stable restoring effect.
Materials and Methods
A rotational bi-stable piezoelectric-magnetic-elastic energy harvester (R-BPEH) is presented, its theoretical model considering the centrifugal effect, gravity effect and bi-stable restoring effect was established to describe the dynamic response behaviors of the R-BPEH. The centrifugal effect caused by the centrifugal force, gravity effect induced by the gravity of tip magnet, bi-stable restoring effect induced by the nonlinear magnetic force and their combinations on the potential energy wells, dynamic performance and power generation are theoretically explored under different system parameters, such as magnetic distance, rotating radius and rotational speed, etc.
Results
The simulation results show that the centrifugal hardening stiffness induced by the centrifugal force of the R-BPEH can increase the oscillating frequency and harvesting voltage in high rotational speed range, but narrows the working bandwidth of inter-well motion; The gravity component in transverse direction generates additional periodical excitation force on the R-BPEH to produce high energy generations, the gravity component in axial direction softens the centrifugal hardening effect to enhance the energy generation in low rotational speed range. In addition, their combination leads to the appearances of asymmetric potential wells which further enhance the dynamic and electrical performances of the R-BPEH. Finally, the theoretical results are validated by experiments, which indicate that the maximum harvested voltage and power generation of the R-BPEH achieves 2.3 V and 4.5 μW when the rotational speed ranges from 150 rpm to 540 rpm.
Conclusion
This study provides an effective method to improve the energy harvesting performance of R-BPEH, especially in low rotational speed range.
Similar content being viewed by others
Data availability
Data will be made available on reasonable request.
References
Yang Z, Zhou S, Zu J, Inman D (2018) High-performance piezoelectric energy harvesters and their applications. Joule 2:642–697
Fu H, Mei X, Yurchenko D, Zhou S, Theodossiades S, Nakano K, Yeatman E (2021) Rotational energy harvesting for self-powered sensing. Joule 5:1074–1118
Tran N, Ghayesh M, Arjomandi M (2018) Ambient vibration energy harvesters: a review on nonlinear techniques for performance enhancement. Int J Eng Sci 127:162–185
Erturk A, Inman DJ (2011) Broadband piezoelectric power generation on high-energy orbits of the bistable Duffing oscillator with electromechanical coupling. J Sound Vib 330:2339–2353
Kim P, Seok J (2014) A multi-stable energy harvester: dynamic modeling and bifurcation analysis. J Sound Vib 333:5525–5547
Wang G, Zhao Z, Liao W, Tan J, Ju Y, Li Y (2020) Characteristics of a tri-stable piezoelectric vibration energy harvester by considering geometric nonlinearity and gravitation effects. Mech Syst Signal Process 138:106571
Arpanahi RA, Hashemi KH, Ahmadian MT et al (2023) Coronary artery lipid accumulation prevention through vibrating piezo electric nano plates embedded in smart stent. Med Eng Phys 118:104021
Sun R, Zhou S, Cheng L (2023) Ultra-low frequency vibration energy harvesting: mechanisms, enhancement techniques, and scaling laws. Energy Convers Manag 276:116585
Arpanahi RA, Mohammadi B, Ahmadian MT et al (2023) Study on the buckling behavior of nonlocal nanoplate submerged in viscous moving fluid. Int J Dyn Control 11:2820–2830
Arpanahi RA, Eskandari A, Hossein-Hashemi S (2023) Surface energy effect on free vibration characteristics of nano-plate. J Vib Eng Technol. https://doi.org/10.1007/s42417-022-00828-x
Arpanahi RA, Mohammadi B, Ahmadian MT et al (2023) Vibration analysis of small-scale piezoelectric plates in contact with fluid. Int J Dyn Control. https://doi.org/10.1007/s40435-023-01231-4
Gu L, Livermore C (2010) Passive self-tuning energy harvester for extracting energy from rotational motion. Appl Phys Lett 97:081904
Mei X, Zhou R, Fang S, Zhou S, Yang B, Nakano K (2021) Theoretical modeling and experimental validation of the centrifugal softening effect for high-efficiency energy harvesting in ultralow-frequency rotational motion. Mech Syst Signal Process 152:107424
Fang S, Wang S, Miao G, Zhou S, Yang Z, Mei X, Liao W (2020) Comprehensive theoretical and experimental investigation of the rotational impact energy harvester with the centrifugal softening effect. Nonlinear Dyn 101:123–152
Fang S, Wang S, Miao G, Zhou S, Yang Z, Liao W (2020) Exploiting the advantages of the centrifugal softening effect in rotational impact energy harvesting. Appl Phys Lett 116:063903
Khameneifar F, Arzanpour S, Arzanpour M (2013) A piezoelectric energy harvester for rotary motion applications: design and experiments. IEEE/ASME Trans Mechatron 18:1527–1534
Roundy S, Tola J (2014) Energy harvester for rotating environments using offset pendulum and nonlinear dynamics. Smart Mater Struct 23:105004
Febbo M, Machado SP, Gatti CD et al (2017) An out-of-plane rotational energy harvesting system for low frequency environments. Energy Convers Manage 152:166–175
He L, Liu L, Zhou J, Yu G, Sun B, Cheng G (2022) Design and analysis of a double-acting nonlinear wideband piezoelectric energy harvester under plucking and collision. Energy 239:122370
Zou HX, Zhang WM, Li WB et al (2017) Design, modeling and experimental investigation of a magnetically coupled flextensional rotation energy harvester. Smart Mater Struct 26:115023
Liu L, He L, Liu X, Han Y, Sun B, Cheng G (2022) Design and experiment of a low frequency non-contact rotary piezoelectric energy harvester excited by magnetic coupling. Energy 258:124882
Zhu P, Ren X, Qin W, Yang Y, Zhou Z (2017) Theoretical and experimental studies on the characteristics of a tri-stable piezoelectric harvester. Arch Appl Mech 87:1541–1554
Febbo M, Machado SP, Gatti CD, Ramirez JM (2017) An out-of-plane rotational energy harvesting system for low frequency environments. Energy Convers Manage 152:166–175
Yoo HH, Shin SH (1998) Vibration analysis of rotating cantilever beams. J Sound Vib 212:807–828
Abdelkefi A, Barsallo N (2016) Nonlinear analysis and power improvement of broadband low-frequency piezomagnetoelastic energy harvesters. Nonlinear Dyn 83:41–56
Zhou S, Yan B, Inman D (2018) A novel nonlinear piezoelectric energy harvesting system based on linear-element coupling: design. Model Dyn Anal Sens 18:1492
Zhou Z, Qin W, Zhu P (2017) A broadband quad-stable energy harvester and its advantages over bi-stable harvester: simulation and experiment. Mech Syst Signal Process 84:158–168
Lee HP (1994) Effect of gravity on the stability of a rotating cantilever beam in a vertical plane. Comput Struct 53:351–355
Yigit A, Scott RA, Galip UA (1988) Flexural motion of a radially rotating beam attached to a rigid body. J Sound Vib 121:201–210
Yung K (1998) An analytic solution for the force between two magnetic dipoles. Magn Electr Sep 9:39–52
Erturk A, Inman DJ (2009) An experimentally validated bimorph cantilever model for piezoelectric energy harvesting from base excitations. Smart Mater Struct 18:025009
Wang G, Liao W, Zhao Z, Tan J, Cui S, Wu H, Wang W (2019) Nonlinear magnetic force and dynamic characteristics of a tri-stable piezoelectric energy harvester. Nonlinear Dyn 97:2371–2397
Li Y, Yang J, Tan J, Zhao Z, Wang G (2020) Dynamic modeling, simulation and experiment validation of a tri-stable piezoelectric vibration energy harvester. Chin J Sens Actuators 33:1098–1109
Liu L, He L, Han Y, Zheng X, Sun B, Cheng G (2023) A review of rotary piezoelectric energy harvesters. Sens Actuators Phys 349:114054
Zhang Z, Chai J, Wu Y, Wang S, Kan X, TNG H, Jan J (2023) A rotational energy harvester utilizing an asymmetrically deformed piezoelectric transducer subjected only to unidirectional compressive stress. Energy Rep 9:657–668
Zheng Y, Wang G, Zhu Q, Li G, Zhou Y, Hou L, Jiang Y (2023) Bifurcations and nonlinear dynamics of asymmetric tri-stable piezoelectric vibration energy harvesters. Commun Nonlinear Sci Numer Simul 119:107077
Acknowledgement
This work is supported by the National Natural Science Foundation of China (no. 51777192), the Natural Science Foundation of Zhejiang Province, China (no. LY24E070002), and the Fundamental Research Funds for the Provincial Universities of Zhejiang (no. Y202250102).
Funding
National Natural Science Foundation of China,51777192,Guangqing Wang, Natural Science Foundation of Zhejiang Province, LY24E070002, Guangqing Wang
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Competing interests
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
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
Wang, G., Zhou, Y., Hou, L. et al. Rotational Vibration Energy Harvesting Enhancement with the Combinations of Centrifugal Effect, Gravity Effect and Bi-stable Restoring Effect. J. Vib. Eng. Technol. (2024). https://doi.org/10.1007/s42417-024-01321-3
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s42417-024-01321-3