On simulation of a bistable system with fractional damping in the presence of stochastic coherence resonance

Litak, Grzegorz; Borowiec, Marek

doi:10.1007/s11071-014-1330-4

Cited by 39 publications

(5 citation statements)

References 24 publications

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“…In some circumstances, when the system is investigated as a detector, it is interesting to compare how the response of the system is influenced by a periodic (sinusoidal) drive [37,38]. In these cases, one wants to measure the response of the system in the presence of the input E 0 sin ωt compared to the case when the system is solely subject to a random term, that is the Signal to Noise-Ratio (SNR) [54][55][56]. To characterize SR one can numerically calculate SNR using the mean square displacement in the presence of a weak signal and the mean square displacement induced by noise.…”

Section: Tools To Quantify Stochastic Resonancementioning

confidence: 99%

Coherence and stochastic resonance in a birhythmic van der Pol system

et al. 2017

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Abstract. We consider the response to uncorrelated noise and harmonic excitation of a birhythmic van der Pol-type oscillator. This system, as opposed to the standard van der Pol oscillator, is characterized by two stable orbits. The noisy oscillator can be analytically mapped, with the technique of stochastic averaging, onto an ordinary bistable system with a bistable (quasi)potential. The birhythmic oscillator can also be numerically characterized through the diagnostics of coherent resonance and the signal-to-noise-ratio. The analysis shows the presence of noise-induced coherent states, influenced by the different time scales of the oscillator.

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Section: Tools To Quantify Stochastic Resonancementioning

confidence: 99%

Coherence and stochastic resonance in a birhythmic van der Pol system

et al. 2017

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“…The nonlinear characteristics of bistable oscillators can lead to various types of motion such as periodic, quasi-periodic and chaotic (Cao et al, 2015; Firoozy and Ebrahimi-Nejad, 2020; Litak and Borowiec, 2014). Boreiry et al (2019) utilized nonlinear tools such as Poincare maps, bifurcation diagrams as well as frequency response diagrams to show the effects of nonlinear parameters on behavior of a vehicle model.…”

Section: Introductionmentioning

confidence: 99%

Increasing the efficiency of a bistable cantilever beam energy harvester exploiting vibro-impact effects

Shahsavar

Ashory

Khatibi

2022

Journal of Intelligent Material Systems and Structures

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In this paper, a novel energy harvester is proposed by adding a barrier to a typical bistable energy harvester, which is modeled exploiting an equivalent single degree of freedom. By using Euler-Lagrange equations, mass, structural stiffness, magnetic force and electromechanical coupling coefficient of the harvester, are converted to an equivalent SDOF model. The frequency bandwidth of the system and the level of harvested power in impacting and non-impacting conditions are obtained. According to the numerical results, it is found by adding a barrier to a typical bistable energy harvester, the working frequency bandwidth of the system is increased tangibly. In fact, by vibro-impact phenomenon, the working frequency bandwidth and extracted power of the system are increased about 42.95% and more than 7 times, respectively. Additionally, the effects of stiffness and initial gap of the barrier are shown on frequency bandwidth of the harvester. It is observed that the gap distance has more effect on widening frequency bandwidth of the system against barrier stiffness. Finally, the effect of the electrical load resistance on the harvested power is discussed at various barrier stiffnesses and initial gap distances and finally the optimum values of the electrical load are provided for each condition.

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“…Fractional order Duffing system has been studied recently [20][21][22]. Some researchers studied fractional damped Duffing systems and found some new dynamic behaviors [23][24][25][26]. However, only few fractional orders are analyzed and the basic laws haven't been summarized systematically.…”

Section: Introductionmentioning

confidence: 99%