Accurate modeling, comparative analysis, and performance enhancement of broadband piezoelectric energy harvesters with single and dual magnetic forces

Abdelmoula, Hichem; Zimmerman, S.; Abdelkefi, A.

doi:10.1016/j.ijnonlinmec.2017.07.008

Cited by 22 publications

(18 citation statements)

References 13 publications

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“…Substituting Equation 11into Equation 21, multiplying both sides by φ i (r)r and integrating over the radius of the membrane, and considering the orthogonality relations of Equations (19) and (20), the following ordinary differential equation is obtained:…”

Section: Bemh Architecture and Mathematical Model Of The Main Systemmentioning

confidence: 99%

“…In the development of vibration energy harvester, different scholars have various research emphases, but their goal is always to expand working bandwidth and improve output power [20][21][22][23]. Traditional vibration energy harvesters are generally monostable systems with the shortcomings of the single resonance mode, narrow bandwidth and insufficient power output.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic Modeling and Structural Optimization of a Bistable Electromagnetic Vibration Energy Harvester

Zhang

Wang

et al. 2019

Energies

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A novel bistable electromagnetic vibration energy harvester (BEMH) is constructed and optimized in this study, based on a nonlinear system consisting mainly of a flexible membrane and a magnetic spring. A large-amplitude transverse vibration equation of the system is established with the general nonlinear geometry and magnetic force. Firstly, the mathematical model, considering the higher-order nonlinearities given by nonlinear Galerkin method, is applied to a membrane with a co-axial magnet mass and magnetic spring. Secondly, the steady vibration response of the membrane subjected to a harmonic base motion is obtained, and then the output power considering electromagnetic effect is analytically derived. On this basis, a parametric study in a broad frequency domain has been achieved for the BEMH with different radius ratios and membrane thicknesses. It is demonstrated that model predictions are both in close agreement with results from the finite element simulation and experiment data. Finally, the proposed efficient solution method is used to obtain an optimizing strategy for the design of multi-stable energy harvesters with the similar flexible structure.

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Section: Bemh Architecture and Mathematical Model Of The Main Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamic Modeling and Structural Optimization of a Bistable Electromagnetic Vibration Energy Harvester

Zhang

Wang

et al. 2019

Energies

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“…For a beam-type structure, the mathematical model is a partial differential equation [ 23 , 24 ]. At the free end of a slender cantilever, the magnetic force from external magnets serves nonlinear boundary conditions [ 25 , 26 ]. If the cantilevered structure was excited, the boundary condition is explicitly relevant to time.…”

Section: Introductionmentioning

confidence: 99%

“…As a matter of fact, the conventional Galerkin method is under consideration, as an exact solution to the dynamic problem subjected to initial conditions does not yet exist [ 29 ]. Unfortunately, the Galerkin method is constrained by the time-dependent boundary condition [ 25 , 26 , 27 , 28 ]. Even though, in a family of trial functions, each spatial function satisfies the nonlinear boundary condition, a combination of these trial functions will generally not do so.…”

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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“…There have been several approaches to model the magnetic force between magnets [109,110], however, for the current configuration there is no specific equation. Therefore, here we try to identify the nonlinearity by assuming appropriate function.…”

Section: Mathematical Modellingmentioning

confidence: 99%

Resonance frequency tuning in vibration-based energy harvesting systems

Madinei¹

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Accurate modeling, comparative analysis, and performance enhancement of broadband piezoelectric energy harvesters with single and dual magnetic forces

Cited by 22 publications

References 13 publications

Dynamic Modeling and Structural Optimization of a Bistable Electromagnetic Vibration Energy Harvester

Dynamic Modeling and Structural Optimization of a Bistable Electromagnetic Vibration Energy Harvester

Secondary Resonance Energy Harvesting with Quadratic Nonlinearity

Resonance frequency tuning in vibration-based energy harvesting systems

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