Hysteresis characteristics influence on the super-harmonic vibration of a bi-stable piezoelectric energy harvester

Zhang, Ting; Li, Hong Guang; Yan, Bi

doi:10.1177/1461348418784190

Cited by 7 publications

(4 citation statements)

References 23 publications

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“…Habineza et al (2015) compensated the hysteretic impact of a multi-DoF piezoelectric tube scanner by the multivariable BW model. Zhang et al (2018) established a dynamical model based on the BW model to analyze the hysteretic phenomenon of a piezoelectric energy harvester. Xiaomin et al (2014) identified the BW model parameters using an amended genetic algorithm (GA), which accurately and efficiently expresses the macro-fiber-composite (MFC) actuator’s hysteretic property.…”

Section: Applicationsmentioning

confidence: 99%

A survey of Bouc-Wen hysteretic models applied to piezo-actuated mechanical systems: Modeling, identification, and control

Cai

Dong

Nagamune

2023

Journal of Intelligent Material Systems and Structures

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Hysteretic nonlinearity behavior ubiquitously occurs in mechanical systems, particularly in high-precision instruments, which severely degrades system output performance. Consequently, it is unavoidable to establish an accurate hysteretic model to describe the hysteretic characteristic of various mechanical systems and to compensate for the system error caused by hysteresis. The piezo-actuated mechanism is one of the most frequent mechanical systems that occurs hysteretic phenomenon, explained in detail in this survey. Bouc-Wen (BW) model has been popularly applied in modeling hysteretic attributes due to the outstanding advantage of simple structure and identification process. This paper presents the latest BW model applications and investigates different BW models, identification methods, and control strategies in light of various application demands based on the BW model systematically. In addition, this survey is meaningful in choosing an appropriate modeling approach and control means for system design according to the distinct requirements, and in providing future research direction.

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Section: Applicationsmentioning

confidence: 99%

A survey of Bouc-Wen hysteretic models applied to piezo-actuated mechanical systems: Modeling, identification, and control

Cai

Dong

Nagamune

2023

Journal of Intelligent Material Systems and Structures

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“…The Taylor series expansion method is valid to deal with the nonlinear terms in the boundary condition (15).…”

Section: The Equation Of Relative Motionmentioning

confidence: 99%

“…This field encompasses mechanics, material science, and electrical circuitry, and has captivated both academics and industrialists. Over the past two decades, primary-harmonic [ 13 , 14 ], superharmonic [ 15 , 16 ], and subharmonic resonances [ 17 ] have been discussed analytically, numerically, or experimentally. Internal resonances are also involved in enhancing the performance of harvesting mechanical energy [ 18 , 19 ].…”

Section: Introductionmentioning

confidence: 99%

Secondary Resonance Energy Harvesting with Quadratic Nonlinearity

Zhang

2020

Materials

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Piezoelectric energy harvesters can transform the mechanical strain into electrical energy. The microelectromechanical transformation device is often composed of piezoelectric cantilevers and has been largely experimented. Most resonances have been developed to harvest nonlinear vibratory energy except for combination resonances. This paper is to analyze several secondary resonances of a cantilever-type piezoelectric energy harvester with a tip magnet. The conventional Galerkin method is improved to truncate the continuous model, an integro-partial differential equation with time-dependent boundary conditions. Then, more resonances on higher-order vibration modes can be obtained. The stable steady-state response is formulated approximately but analytically for the first two subharmonic and combination resonances. The instability boundaries are discussed for these secondary resonances from quadratic nonlinearity. A small damping and a large excitation readily result in an unstable response, including the period-doubling and quasiperiodic motions that can be employed to enhance the voltage output around a wider band of working frequency. Runge–Kutta method is employed to numerically compute the time history for stable and unstable motions. The stable steady-state responses from two different methods agree well with each other. The outcome enriches structural dynamic theory on nonlinear vibration.

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“…Firoozy et al [13] established a complete model for the distributed parameters of the bi-stable piezoelectric cantilever beam, and analyzed the dynamics of the beam numerically. Zhang et al [14] studied how the hysteresis properties of materials and external excitation affect bi-stable piezoelectric energy harvesters. Zhao et al [15] https://doi.org/10.56578/peet010104 designed a new bi-stable piezoelectric energy harvester, and demonstrated that the output performance of the system can be improved by increasing the weight mass block and decreasing the cantilever beam stiffness.…”

Section: Introductionmentioning

confidence: 99%

Parametric Analysis of Nonlinear Bi-Stable Piezoelectric Energy Harvester Based on Multi-Scale Method

Man¹,

Xu²,

Xu³

et al. 2022

PEET

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Given the geometric nonlinearity of the piezoelectric cantilever beam, this study establishes a distributed parameter model of the nonlinear bi-stable cantilever piezoelectric energy harvester, following the generalized Hamilton variational principle. The analytical expressions of the dynamic response were obtained for the energy harvesting system using Galerkin modal decomposition and the multi-scale method. The investigation focuses on how the performance of the energy harvesting system is influenced by the gap distance between magnets, external excited amplitude, mechanical damping ratio and external load resistance. The calculation results were compared with those obtained neglecting the geometric nonlinearity of the beam. The results show that the system responses contain jump and multiple solutions. The consideration of the geometrical nonlinearity significantly amplified the peak displacement and peak output power of the intra-well and inter-well motions. There is an evident hardening effect of the inter-well motion frequency response curve. By reasonable adjusting the parameters, it is possible to improve the output power of the piezoelectric energy harvesting system and broaden the operating frequency of the system.

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Hysteresis characteristics influence on the super-harmonic vibration of a bi-stable piezoelectric energy harvester

Cited by 7 publications

References 23 publications

A survey of Bouc-Wen hysteretic models applied to piezo-actuated mechanical systems: Modeling, identification, and control

A survey of Bouc-Wen hysteretic models applied to piezo-actuated mechanical systems: Modeling, identification, and control

Secondary Resonance Energy Harvesting with Quadratic Nonlinearity

Parametric Analysis of Nonlinear Bi-Stable Piezoelectric Energy Harvester Based on Multi-Scale Method

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