Nonlinear analysis of piezoelectric wind energy harvesters with different geometrical shapes

Wang, Kaifa; Wang, Baolin; Gao, Yongsheng; Zhou, Jie

doi:10.1007/s00419-019-01636-8

Cited by 29 publications

(8 citation statements)

References 41 publications

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“…Nowak et al (2020) studied the optimal aspect ratio of the cantilever beam using a static method. The research results of Wang et al (2019) and Salmani and Rahimi (2018) showed that designing a beam with exponentially varying shapes can obtain the largest power density and reduce the cost of the energy harvester. These studies reveal the main geometric relationships affecting the output power of the piezoelectric cantilever beam.…”

Section: Optimization Resultsmentioning

confidence: 99%

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Topological optimization of a variable cross-section cantilever-based piezoelectric wind energy harvester

et al. 2022

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Wind energy is a typical foreseeable renewable energy source. This study constructs and optimizes a variable cross-section cantilever-based piezoelectric energy harvester for low-speed wind energy harvesting. The Galerkin approach is usually used to discretize the continuum model and then get the ordinary differential equations. However, this method is more suitable for calculating uniformity than the variable cross-sectional beam model. To solve this problem, we proposed an improved piecewise Galerkin approach for discretizing the continuum model with a variable cross section. By modifying the boundary expressions and modal functions between segments, it can improve both computation speed and accuracy. COMSOL simulations demonstrate that natural frequencies calculated via the improved method are more accurate than those of the traditional Galerkin method. The method of multiple scales is applied to determine the output power and critical wind velocity. A distinctive numerical approach is presented for shape optimization by combining the analytical calculation method with the particle swarm optimization (PSO) technique for low-speed wind energy harvesting. Additionally, the logic function is chosen to produce the optimal shape’s fitting expression for engineering applications. With all the improvements, the output power of a variable cross-section beam-based harvester reaches as much as 3.668 times that of a uniform beam model, demonstrating the importance of structural optimization for this type of energy harvesters. Finally, experiments are set up to verify the optimization procedure. Actually, it builds an analytical framework for the adaptive selection of variable-section piezoelectric cantilever wind-induced vibration energy harvesters.

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Section: Optimization Resultsmentioning

confidence: 99%

“…In the optimization of GPEH, there are limited results for piezoelectric cantilever beams. Wang et al (2019) first compared the output power of three variable-section piezoelectric cantilever beams in GPEH. However, there are many optimizations in the base vibration energy harvester regarding the geometry of piezoelectric cantilever beams.…”

Section: Introductionmentioning

confidence: 99%

Topological optimization of a variable cross-section cantilever-based piezoelectric wind energy harvester

et al. 2022

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“…In the figure, b is the width of the PVEH, l b is the length of the gap between the fixed edge of the PVEH and the left-side edge of the tip mass, l t is half the length of the tip mass, l p is the length of the piezoelectric material layer and the epoxy adhesive layer, and h t , h p , h e , and h b are the heights of the single tip mass, the piezoelectric material, the epoxy adhesive, and the beam, respectively. In a miniature harvester structure, the point mass approximation may not be applicable if the length of the tip mass is nonnegligible when compared with the beam length; therefore, in a manner similar to previous studies (Mak et al, 2011; Wang et al, 2020), this study considers a tip mass dimension to determine the kinetic energy. Additionally, this study incorporates an epoxy adhesive layer during modeling of the PVEH because the epoxy adhesive layer thickness increases the piezoelectric coupling coefficient when 2 h e is nonnegligible in comparison to h b + h p (Asanuma and Komatsuzaki, 2020).…”

Section: Pveh Structure and Modelmentioning

confidence: 99%

Electromechanical model and simple numerical analysis for a piezoelectric vibration energy harvester considering nonlinear piezoelectricity, nonlinear damping, and self-powered synchronized switch circuit

Asanuma

2023

Journal of Intelligent Material Systems and Structures

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Establishment of an analytical technique that considers nonlinear piezoelectricity, nonlinear damping, and the connections to the self-powered synchronized switch circuit represents a challenging but practical issue in the development of piezoelectric vibration energy harvesters. The two-way coupled analysis method, which combines numerical software with a circuit simulator, can simulate the performance of the harvester, but it imposes a high computational load. We develop a numerical analysis technique that is more readily implemented to allow us to produce accurate predictions of the output power, displacement, and frequency response characteristics of this harvester with the switch circuit. First, we derive the electromechanical equation required for the miniature harvester, and we then determine the parameters in this equation using the harmonic balance method. Finally, the governing equation coupling the piezoelectric vibration energy harvester with the self-powered synchronized switch circuit is simplified, taking the form of a quartic equation with respect to the displacement. The simulation replicated a reduction in the displacement at higher resistive loads, wider variations in the resonance frequency, and the nonlinear stiffness softening characteristics that were observed experimentally. This paper provides a practical method for predicting the performance of the nonlinear piezoelectric vibration energy harvester with the synchronized switch circuit.

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“…Many works have been done to consider the piezoelectric energy harvester when a cubic bluff body is attached to the tip of the beam. The aerodynamic force in this category of works is due to galloping phenomena (Ewere and Wang, 2014;Rezaei and Talebitooti, 2019;Seyed-Aghazadeh et al, 2020;Wang et al, 2020;Zhao et al, 2012Zhao et al, , 2016Zhao et al, , 2019. Unlike VIV that exhibits large amplitudes only when the vortex-shedding frequency is near the structure's natural frequency (lock-in or synchronization), the galloping phenomenon exhibits large amplitudes after a critical speed.…”

Section: Introductionmentioning

confidence: 99%

Analysis of clamped-clamped piezoelectric energy harvester under vortex induced vibration considering the stretching effect

Alimanesh,

Zamanian

2023

Journal of Intelligent Material Systems and Structures

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This paper investigates the middle layer stretching effect on the dynamic behavior of an energy harvester clamped-clamped beam. Two foam cylinders that are attached together as a dumbbell are mounted on the middle part of the beam for vortex-induced vibrations. The piezoelectric patch collects the electrical energy produced by vortex induced vibration. In this analysis the coupled differential equations governing on the structure oscillation, harvested voltage and fluid lift force are established applying the Hamilton’s principle, Gauss law and wake oscillator model. The obtained differential equations are discretized using Galerkin method, and solved by both numerical and analytical perturbation methods. The results demonstrate that middle layer stretching effect has a significant effect on the lock-in domain, and the output electric voltage must be evaluated by considering this effect. It has been shown that for large values of cylinder diameter the difference between numerical and theoretical results increases due to increasing the middle layer stretching effect.

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Nonlinear analysis of piezoelectric wind energy harvesters with different geometrical shapes

Cited by 29 publications

References 41 publications

Topological optimization of a variable cross-section cantilever-based piezoelectric wind energy harvester

Topological optimization of a variable cross-section cantilever-based piezoelectric wind energy harvester

Electromechanical model and simple numerical analysis for a piezoelectric vibration energy harvester considering nonlinear piezoelectricity, nonlinear damping, and self-powered synchronized switch circuit

Analysis of clamped-clamped piezoelectric energy harvester under vortex induced vibration considering the stretching effect

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