Stationary response of nonlinear magneto-piezoelectric energy harvester systems under stochastic excitation

Martens, Wolfram; Wagner, Utz von; Litak, Grzegorz

doi:10.1140/epjst/e2013-01953-5

Cited by 40 publications

(26 citation statements)

References 24 publications

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“…As many authors show, to extend the frequency range where the effective power is relatively large one can use the nonlinear systems (see e.g. [6][7][8][9][10]). In many papers authors consider the energy harvesting devices based on electromotive force phenomena [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

The Influence of Potential Energy Shape on the Total Electrical Efficiency of the Energy Harvester

Kucab

Górski

2017

Acta Phys. Pol. A

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In this theoretical work we analyze the total effective electric power versus base acceleration amplitude generated by the energy harvesting system with an electromagnetic transducer. We compare the results for both linear and nonlinear case. The transition from linear to nonlinear behavior of the system can be achieved by the change of device geometry. To improve the power efficiency of our device we also examine the dependence of crossover point of acceleration amplitudes where generated power in the nonlinear system starts to exceed the generated power in the linear regime. We have found that the crossover point can be moved towards relatively small base acceleration values by appropriate selection of system nonlinearity "strength".

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Section: Introductionmentioning

confidence: 99%

The Influence of Potential Energy Shape on the Total Electrical Efficiency of the Energy Harvester

Kucab

Górski

2017

Acta Phys. Pol. A

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“…In the next paper [14], both the effects of random and the combined harmonic and stochastic excitation components in the same configuration of the system were studied. Similar approaches of piezoelastic devices have been also discussed in [15][16][17][18][19][20][21][22]. The aforementioned model [13,14] is followed in the paper [1], where the analysis of this system is completed by simulating cases of harmonic and combined harmonic-stochastic excitations in vertical direction.…”

Section: Introductionmentioning

confidence: 99%

“…In the present paper, results provided in [1] are recalculated for the sake of output averaged power and compared with different approach of piezoelectric subsystem modelling. The system considered in this paper includes also the bending effect due to the gravity force, in contrast to the magnetic systems discussed in previous papers [12,[17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Energy harvesting of cantilever beam system with linear and nonlinear piezoelectric model

Borowiec

2015

Eur. Phys. J. Spec. Top.

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Abstract. The nonlinear beam with vertical combined excitations is proposed as an energy harvester. The nonlinearities are included both, in the beam model and also in the electrical subsystem. The system is modelled as a cantilever beam with included a tip mass and piezoelectric patches which convert the bending strains induced by both, the harmonic and the additive stochastic forces. The excitation affects in vertical directions by kinematic forcing into electrical charge. The first main goal is to analyse the dynamics of the electro-mechanical beam system and the influence of the mixed excitation forces into an effectiveness of the energy harvesting. Overcoming the potential barrier by the beam system is also analysed, where large output amplitudes occur. Such region of the vibration affects more power generation, which is crucial in terms of load resistors sensitivities. By increasing the additive noise level with fixed harmonic force it is observed the transition from single well oscillations to inter-well stochastic jumps. The second mail goal is analysing the influence of the piezoelectric nonlinear characteristic and compare the results to the linear piezoelectric cases. The output power is measured during different system behaviours provided by different piezoelectric characteristic as well as introduced stochastic components by modulated tip mass of the system.

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“…In fact, the Duffing oscillator, as the simplest model, was used for many energy harvesting simulations, with the addition of electromechanical coupling for the harvesting circuit [15][16][17][18][19]. McInnes et al [20], Kwuimy et al [21] and Martens et al [22] investigated the stochastic resonance phenomena for a nonlinear system with a double potential well.…”

Section: Introductionmentioning

confidence: 99%

Regular and chaotic vibration in a piezoelectric energy harvester with fractional damping

et al. 2015

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Abstract. We examine a vibrational energy harvester consisting of a mechanical resonator with a fractional damping and electrical circuit coupled by a piezoelectric converter. By comparing the bifurcation diagrams and the power output we show that the fractional order of damping changes the system response considerably and affects the power output. Various dynamic responses of the energy harvester are examined using phase trajectory, Fourier spectrum, Multi-scale entropy and 0-1 test. The numerical analysis shows that the fractionally damped energy harvesting system exhibits chaos, and periodic motion, as the fractional order changes. The observed bifurcations strongly influence the power output.

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Stationary response of nonlinear magneto-piezoelectric energy harvester systems under stochastic excitation

Cited by 40 publications

References 24 publications

The Influence of Potential Energy Shape on the Total Electrical Efficiency of the Energy Harvester

The Influence of Potential Energy Shape on the Total Electrical Efficiency of the Energy Harvester

Energy harvesting of cantilever beam system with linear and nonlinear piezoelectric model

Regular and chaotic vibration in a piezoelectric energy harvester with fractional damping

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