Broadband piezoelectric power generation on high-energy orbits of the bistable Duffing oscillator with electromechanical coupling

Ertürk, Alper; Inman, Daniel J.

doi:10.1016/j.jsv.2010.11.018

Cited by 688 publications

(445 citation statements)

References 36 publications

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“…Typically, a cantilevered beam with a piezoelectric strip is used to transform vibrational energy into electrical energy through damping, see Figure 10. This figure has been taken over from [69], where many details and systematic background can be found. For small displacements of the beam, peak power generation in the mechanism will occur when the natural frequency of the beam is tuned to the peak of the vibration noise spectrum.…”

Section: Small Scale Energy Production and Measuring System Feedingmentioning

confidence: 99%

Stochastic Resonance and Related Topics

Náprstek¹,

Fischer²

2017

Resonance

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The stochastic resonance (SR) is the phenomenon which can emerge in nonlinear dynamic systems. In general, it is related with a bistable nonlinear system of Duffing type under additive excitation combining deterministic periodic force and Gaussian white noise. It manifests as a stable quasiperiodic interwell hoppingbetweenbothstablestateswithasmall random perturbation. Classical definition and basic features of SR are regarded. The most important methods of investigation outlined are: analytical, semi-analytical, and numerical procedures of governing physical systems or relevant Fokker-Planck equation. Stochastic simulation is mentioned and experimental way of results verification is recommended. Some areas in Engineering Dynamics related with SR are presented together with a particular demonstration observed in the aeroelastic stability. Interaction of stationary and quasiperiodic parts of the response is discussed. Some nonconventional definitions are outlined concerning alternative operators and driving processes are highlighted. The chapter shows a large potential of specific basic, applied and industrial research in SR. This strategy enables to formulate new ideas for both development of nonconventional measures for vibration damping and employment of SR in branches, where it represents an operating mode of the system itself. Weaknesses and empty areas where the research effort of SR should be oriented are indicated.

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Section: Small Scale Energy Production and Measuring System Feedingmentioning

confidence: 99%

Stochastic Resonance and Related Topics

Náprstek¹,

Fischer²

2017

Resonance

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“…where m is the equivalent mass of the beam, x is the displacement of the beam in the transverse direction, c is the damping, k l is the equivalent linear stiffness of the beam calculated by the finite element method (FEM), the term k nl provides a nonlinear restoring force at large x caused by the spacing of the magnets [8,9,10,17,18,19]. The signal of the parameters k l and k nl define the type of spring.…”

Section: Nonlinear Energy Harvesting Device Coupled With Rectifier CImentioning

confidence: 99%

“…Among these harvesting devices, the use of nonlinear devices has been widely studied to extract energy from wideband non-harmonic vibration sources [3,4,5,6,7]. In this sense, the use of the structure investigated by Moon [17], composed by a nonlinear device that can present chaotic behavior, is one of the most used for energy harvesting purposes in recent years using only an electric resistance to dissipate the energy generated by the piezoelectric materials [6,7,8,9,10,18,19].…”

Section: Introductionmentioning

confidence: 99%

Analysis of Bistable and Chaotic Piezoelectric Energy Harvesting Device Coupled With Diode Bridge Rectifier

Basquerotto¹,

Chavarette²,

Silva³

2015

Int. J. of Pure and Appl. Math.

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Vibration energy harvesting has greatly expanded over the last few years. While linear vibration-based energy harvesting has received considerable attention in the literature, some current research is focused on the concept of purposeful inclusion of nonlinearities for broadband transduction. The energy harvesting process is performed in two steps: energy extraction and using this energy to feed electronic devices. Thus, this work discusses the use of an energy extraction device that is a chaotic non-linear mechanical device, coupled to a half-wave rectifier circuit to transform the alternating voltage generated by the piezoelectric ceramics into continuous voltage to power electronic devices. An analysis of the dynamic interaction between the two devices is done and it can be concluded that it is possible to use a mechanical device that operates in chaos coupled to a rectification circuit.

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“…Gammaitoni et al [8] and Masana and Daqaq [13] highlighted the advantages of a double well potential for energy harvesting, particularly when inter well dynamics were excited. The Duffing oscillator model has been used for many energy harvesting simulations, with the addition of electromechanical coupling for the harvesting circuit [14,15]. Electromagnetic harvesters with a cubic force nonlinearity have also been considered [16].…”

Section: Introductionmentioning

confidence: 99%

Regular and chaotic vibration in a piezoelectric energy harvester

2015

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We examine regular and chaotic responses of a vibrational energy harvester composed of a vertical beam and a tip mass. The beam is excited horizontally by a harmonic inertial force while mechanical vibrational energy is converted to electrical power through a piezoelectric patch. The mechanical resonator can be described by single or double well potentials depending on the gravity force from the tip mass. By changing the tip mass we examine bifurcations from single well oscillations, to regular and chaotic vibrations between the potential wells. The appearance of chaotic responses in the energy harvesting system is illustrated by the bifurcation diagram, the corresponding Fourier spectra, the phase portraits, and is confirmed by the 0-1 test. The appearance of chaotic vibrations reduces the level of harvested energy.

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Broadband piezoelectric power generation on high-energy orbits of the bistable Duffing oscillator with electromechanical coupling

Cited by 688 publications

References 36 publications

Stochastic Resonance and Related Topics

Stochastic Resonance and Related Topics

Analysis of Bistable and Chaotic Piezoelectric Energy Harvesting Device Coupled With Diode Bridge Rectifier

Regular and chaotic vibration in a piezoelectric energy harvester

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