Multiple solutions and corresponding power output of a nonlinear bistable piezoelectric energy harvester

Syta, Arkadiusz; Litak, Grzegorz; Friswell, Michael I.; Adhikari, Sondipon

doi:10.1140/epjb/e2016-60699-0

Cited by 40 publications

(30 citation statements)

References 17 publications

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“…4c). This solution is consistent with the recent results by Huguet et al [8] and Syta et al [7] where the subharmonic solutions were present. Here, the beam deflection response is formed in a sequence of peaks depending on impacts in the chosen system geometry and dynamical conditions.…”

Section: Discussionsupporting

confidence: 93%

“…The role of nonlinearities [6] is important not only in broadening of frequency in the main resonance region but also in involving the subharmonic and superharmonic frequencies in multiple solutions. For instance, possible solutions in double well system resonators [7] are related to the small amplitude single well solution and the large amplitude cross barrier solution. Especially, subharmonic solutions with a large amplitude are very useful for energy harvesting [7,8].…”

Section: Introductionmentioning

confidence: 99%

“…For instance, possible solutions in double well system resonators [7] are related to the small amplitude single well solution and the large amplitude cross barrier solution. Especially, subharmonic solutions with a large amplitude are very useful for energy harvesting [7,8]. Following the concept of the inverted elastic pendulum which undergoes a bifurcation of single to double equilibria under load of a tip mass [9], we propose a system with the effect of clearance in the clamping.…”

Section: Introductionmentioning

confidence: 99%

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Broadband frequency response of a nonlinear resonator with clearance for energy harvesting

2018

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Abstract. We examine the response of an inverted pendulum excited harmonically with amplitude limiters. Such a nonlinear resonator is suggested to work in the transduction of ambient vibration energy into the electrical power through bending of the moving beam. Using a multibody model we follow rotation and bending of the elastic beam and we provide the solutions of various frequencies. We found that the corresponding bending is the largest for subharmonic solutions of beam oscillations.

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Section: Discussionsupporting

confidence: 93%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Broadband frequency response of a nonlinear resonator with clearance for energy harvesting

2018

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“…However, one should remember that the large orbit (more energetic) is only one possible solution as a non-linear system is known for multiple solutions. To check the availability of the larger orbit solution, one needs to perform more studies including basins of attraction approach [54]. The system can be still optimized by changing its moment of inertia, the strength of magnets, improving the electrical circuit, and by carrying out the tests in wider range of frequencies.…”

Section: Discussionmentioning

confidence: 99%

Modelling of Electromagnetic Energy Harvester with Rotational Pendulum Using Mechanical Vibrations to Scavenge Electrical Energy

2020

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A concept of non-linear electromagnetic system with the rotational magnetic pendulum for energy harvesting from mechanical vibrations was presented. The system was stimulated by vertical excitation coming from a shaker. The main assumption of the system was the montage of additional regulated stationary magnets inside coils creating double potential well, and the system was made with a 3D printing technique in order to avoid a magnetic coupling with the housing. In validation process of the system, modelling of electromagnetic effects in different configurations of magnets positions was performed with the application of a finite element method (FEM) obtaining the value of magnetic force acting on the pendulum. A laboratory measurement circuit was built and an experiment was carried out. The voltage and power outputs were measured for different excitations in range of system operational frequencies found experimentally. The experimental results of the physical system with electrical circuit and numerical estimations of the magnetic field of a stationary magnet’s configuration were used to derive a mathematical model. The equation of motion for the rotational pendulum was used to prove the broadband frequency effect.

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“…Such systems exhibit multiple coexisting solutions with different power outputs [26,27]. The appearance of periodic or chaotic solutions, or solutions with single and cross potential well motions, depend on the initial conditions.…”

Section: Selected Time Series Of the System Responsementioning

confidence: 99%

Output response identification in a multistable system for piezoelectric energy harvesting

et al. 2017

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Abstract. In this paper we examine in detail the multiple responses of a novel vibrational energy harvester composed of a vertical bistable beam whose complex non-linear behavior is tuned via magnetic interaction. The beam was excited horizontally by a harmonic inertial force while mechanical vibrational energy is converted to electrical power through a piezoelectric element. The bistable laminate beam coupled to the piezoelectric transducer showed a variety of complex responses in terms of the beam displacement and harvested power output. The range of vibration patterns in this non-linear system included single-well oscillations and snap-through vibrations of periodic and chaotic character. Harvested power was found to be strongly dependent on the vibration pattern with nonlinearities providing a broadband response for energy harvesting. Wavelet analysis of measured voltage, displacement and velocity time histories indicated the presence of a variety of nonlinear periodic and also chaotic phenomena. To measure the complexity of response time series we applied phase portraits and determine stroboscopic points and multiscale entropy. It is demonstrated that by changing parameters such as the magnetic interaction, the characteristics of the bistable laminate harvester, such as the natural frequency, bandwidth, vibration response and peak power can be readily tailored for harvesting applications.

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Multiple solutions and corresponding power output of a nonlinear bistable piezoelectric energy harvester

Cited by 40 publications

References 17 publications

Broadband frequency response of a nonlinear resonator with clearance for energy harvesting

Broadband frequency response of a nonlinear resonator with clearance for energy harvesting

Modelling of Electromagnetic Energy Harvester with Rotational Pendulum Using Mechanical Vibrations to Scavenge Electrical Energy

Output response identification in a multistable system for piezoelectric energy harvesting

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