Bursting oscillation phenomenon and efficiency analysis of a piezoelectric energy harvester in rotational motion by low-frequency excitation

In this article, the bursting oscillation and energy harvesting efficiency of a piezoelectric energy harvester (PEH) in rotational motion by low-frequency excitation are investigated. On the basis of the slow-fast analysis method, the periodic external excitation term is taken as a slow variable and...

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Veröffentlicht in:European physical journal plus 2022-04, Vol.137 (4), p.459, Article 459
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description In this article, the bursting oscillation and energy harvesting efficiency of a piezoelectric energy harvester (PEH) in rotational motion by low-frequency excitation are investigated. On the basis of the slow-fast analysis method, the periodic external excitation term is taken as a slow variable and the control parameter to regulate the dynamic behavior of the fast subsystem. The time history, phase and transformed phase diagrams of the PEH system in some cases when the bursting oscillation occurs are derived. The bifurcation mechanism and motion law are then revealed. Next, the effect of excitation frequency on periodic motions is studied through ω - x bifurcation diagrams. Then, the critical values of the excitation amplitude for bursting oscillations are observed. Afterwards, the influence of cantilever beam equivalent damping ratio on the output voltage when bursting oscillation happens is discussed. Taking the average output voltage value as a measurement index, combining with the variations of the output power with load resistance, the effects of excitation amplitude and frequency on energy harvesting efficiency are analyzed. The results show that the rise of amplitude can widen the frequency band of high energy harvesting efficiency; The frequency near the bursting frequency provides large output power in an instant. Finally, the relationship between the barrier height and bursting oscillation is discussed. It is shown that there exist more than one critical excitation amplitudes for the occurrence of bursting oscillation in some cases of the tristable PEH system. Overall, combining with the external excitation term, potential energy functions and various electromechanical factors, we theoretically analyze the effects on bursting oscillation and energy harvesting efficiency, which provides a reference for the reliability design of multistable piezoelectric energy harvesters.
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On the basis of the slow-fast analysis method, the periodic external excitation term is taken as a slow variable and the control parameter to regulate the dynamic behavior of the fast subsystem. The time history, phase and transformed phase diagrams of the PEH system in some cases when the bursting oscillation occurs are derived. The bifurcation mechanism and motion law are then revealed. Next, the effect of excitation frequency on periodic motions is studied through ω - x bifurcation diagrams. Then, the critical values of the excitation amplitude for bursting oscillations are observed. Afterwards, the influence of cantilever beam equivalent damping ratio on the output voltage when bursting oscillation happens is discussed. Taking the average output voltage value as a measurement index, combining with the variations of the output power with load resistance, the effects of excitation amplitude and frequency on energy harvesting efficiency are analyzed. The results show that the rise of amplitude can widen the frequency band of high energy harvesting efficiency; The frequency near the bursting frequency provides large output power in an instant. Finally, the relationship between the barrier height and bursting oscillation is discussed. It is shown that there exist more than one critical excitation amplitudes for the occurrence of bursting oscillation in some cases of the tristable PEH system. 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Phys. J. Plus</addtitle><description>In this article, the bursting oscillation and energy harvesting efficiency of a piezoelectric energy harvester (PEH) in rotational motion by low-frequency excitation are investigated. On the basis of the slow-fast analysis method, the periodic external excitation term is taken as a slow variable and the control parameter to regulate the dynamic behavior of the fast subsystem. The time history, phase and transformed phase diagrams of the PEH system in some cases when the bursting oscillation occurs are derived. The bifurcation mechanism and motion law are then revealed. Next, the effect of excitation frequency on periodic motions is studied through ω - x bifurcation diagrams. Then, the critical values of the excitation amplitude for bursting oscillations are observed. Afterwards, the influence of cantilever beam equivalent damping ratio on the output voltage when bursting oscillation happens is discussed. Taking the average output voltage value as a measurement index, combining with the variations of the output power with load resistance, the effects of excitation amplitude and frequency on energy harvesting efficiency are analyzed. The results show that the rise of amplitude can widen the frequency band of high energy harvesting efficiency; The frequency near the bursting frequency provides large output power in an instant. Finally, the relationship between the barrier height and bursting oscillation is discussed. It is shown that there exist more than one critical excitation amplitudes for the occurrence of bursting oscillation in some cases of the tristable PEH system. 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Afterwards, the influence of cantilever beam equivalent damping ratio on the output voltage when bursting oscillation happens is discussed. Taking the average output voltage value as a measurement index, combining with the variations of the output power with load resistance, the effects of excitation amplitude and frequency on energy harvesting efficiency are analyzed. The results show that the rise of amplitude can widen the frequency band of high energy harvesting efficiency; The frequency near the bursting frequency provides large output power in an instant. Finally, the relationship between the barrier height and bursting oscillation is discussed. It is shown that there exist more than one critical excitation amplitudes for the occurrence of bursting oscillation in some cases of the tristable PEH system. 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subjects Amplitudes
Applied and Technical Physics
Atomic
Bifurcations
Bursting
Cantilever beams
Complex Systems
Condensed Matter Physics
Damping ratio
Efficiency
Electric potential
Energy
Energy harvesting
Equilibrium
Excitation
Frequencies
Load resistance
Mathematical and Computational Physics
Molecular
Optical and Plasma Physics
Phase diagrams
Physics
Physics and Astronomy
Piezoelectricity
Potential energy
Regular Article
Subsystems
Theoretical
Voltage
title Bursting oscillation phenomenon and efficiency analysis of a piezoelectric energy harvester in rotational motion by low-frequency excitation
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