Characteristics of a tri-stable piezoelectric vibration energy harvester by considering geometric nonlinearity and gravitation effects

Wang, Guangqing; Zhao, Zexiang; Liao, Wei-Hsin; Tan, Jiangping; Yang, Jing; Li, Yin

doi:10.1016/j.ymssp.2019.106571

Cited by 38 publications

(12 citation statements)

References 26 publications

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“…By setting the first and second-order statistical moments from Equation (7) to Equation ( 19) to be zero, we can obtain a series of algebraic equations. Based on the theory of the Gaussian closure technique [33], the third and fourth statistical moments could be expressed by the moments of the first two orders.…”

Section: Moment Differential Equation Analysismentioning

confidence: 99%

“…To address these problems, a large number of studies have focused on broadening the frequency band of response by applying the mechanical and magnetic coupling approaches [4]. Particularly, the investigations of monostable [5], bistable [6], and tristable [7] energy harvesters have attracted a lot of attention. As an example, Stanton et al [8] proposed a nonlinear monostable energy harvester (MEH) by applying a permanent magnet end mass that interacted with the field of oppositely poled stationary magnets.…”

Section: Introductionmentioning

confidence: 99%

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Response Analysis of Asymmetric Monostable Harvesters Driven by Color Noise and Band-Limited Noise

Liu

Wang

2021

Applied Sciences

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In this paper, we investigate the response of asymmetric potential monostable energy harvesters (MEHs) excited by color noise and band-limited noise. The motivation for this study is that environmental vibrations always have the characteristic of randomness, and it is difficult to modulate a perfectly symmetric MEH. For the excitation of exponentially correlated color noise, the moment differential equation was applied to evaluate the output performance of the asymmetric potential MEHs. Numerical and theoretical analyses were carried out to investigate the influence of noise intensity and internal system parameters on the output power of the system. Our results demonstrate that the output performance of the asymmetric MEH decreases with the increase in the correlation time, which determines the character of the color noise. On the contrary, the increase in the asymmetric degree enhances the output power of the asymmetric MEH subjected to color noise. For the band-limited noise excitation, numerical simulation is undertaken to consider the response of the asymmetric MEHs, and outcomes indicate that the frequency bandwidth and center frequency have a significant influence on the output performance. Regarding the asymmetric potential, its appearance leads the MEHs to generate higher output power at lower frequencies and this phenomenon is more obvious with the increase in the degree of asymmetry. Finally, we observed that the characteristics of the response bandwidth of asymmetric MEHs subjected to band-limited noise excitation are similar to the response under harmonic excitation.

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Section: Moment Differential Equation Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Response Analysis of Asymmetric Monostable Harvesters Driven by Color Noise and Band-Limited Noise

Liu

Wang

2021

Applied Sciences

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“…Due to the large volume, limited lifespan and high maintenance costs of the chemical batteries, the self-power supply of these low-powered devices has become a critical issue. Harvesting energy from the ambient vibrations is a promising means to solve this issue [1][2][3][4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Rotational vibration energy harvesting enhancement with the combinations of centrifugal effect, gravity effect and bi-stable restoring effect

WANG

Zhou

Hou

et al. 2023

Preprint

Self Cite

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Bi-stable piezoelectric-magnetic-elastic energy harvester (BPEH) has been widely investigated to improve the harvesting performance of low-frequency vibration energy. The centrifugal effect, gravity effect and bi-stable restoring effect and their combinations on the BPEH’s potential wells and dynamic behaviors in rotational motions are completely different from those in low-frequency ambient vibrations, and they have not yet been well explored. This article presents a rotational bi-stable piezoelectric-magnetic-elastic energy harvester (R-BPEH) to enhance the rotational vibration energy harvesting with the combinations of the centrifugal effect, gravity effect and bi-stable restoring effect. A 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. The 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. Experiments are conducted to show good agreement with the theoretical results. The maximum harvested voltage and power generation of the R-BPEH achieves 2.5 V and 0.59 µW when the rotational speed ranges from 150 rpm to 540 rpm.

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“…Through the asymmetrical arrangement of the external magnet of the cantilever beam, the research results show that this design makes the large response easier to be triggered. Wang [ 28 ] derives the distributed parameter model of the energy harvester on the basis of considering the geometric nonlinearity of the cantilever beam (GNL) and the gravitational effect (GE). Theoretical and experimental studies have shown that the tri-stable energy harvester considering GNL and GE has an asymmetric potential well, which can improve the output performance.…”

Section: Introductionmentioning

confidence: 99%

Time-Domain Dynamic Characteristics Analysis and Experimental Research of Tri-Stable Piezoelectric Energy Harvester

Zhang

Chen

et al. 2021

Micromachines

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In order to explore the dynamic characteristics of the linear-arch beam tri-stable piezoelectric energy harvester (TPEH), a magnetic force model was established by the magnetic dipole method, and the linear-arch composite beam nonlinear restoring force model was obtained through experiments. Based on the Euler–Bernoulli beam theory, a system dynamic model is established, and the influence of the horizontal distance, vertical distance and excitation acceleration of magnets on the dynamic characteristics of the system is simulated and analyzed. Moreover, the correctness of the theoretical results is verified by experiments. The results show that the system can be mono-stable, bi-stable and tri-stable by adjusting the horizontal or vertical spacing of the magnets under proper excitation. The potential well of the system in the tri-stable state is shallow, and it is easier to achieve a large-amplitude response. Increasing the excitation level is beneficial for the large-amplitude response of the system. This study provides theoretical guidance for the design of linear-arch beam TPEH.

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Characteristics of a tri-stable piezoelectric vibration energy harvester by considering geometric nonlinearity and gravitation effects

Cited by 38 publications

References 26 publications

Response Analysis of Asymmetric Monostable Harvesters Driven by Color Noise and Band-Limited Noise

Response Analysis of Asymmetric Monostable Harvesters Driven by Color Noise and Band-Limited Noise

Rotational vibration energy harvesting enhancement with the combinations of centrifugal effect, gravity effect and bi-stable restoring effect

Time-Domain Dynamic Characteristics Analysis and Experimental Research of Tri-Stable Piezoelectric Energy Harvester

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