Stochastic dynamics of a piezoelectric energy harvester with correlated colored noises from rotational environment

Zhang, Yanxia; Jin, Yanfei

doi:10.1007/s11071-019-05208-x

Cited by 36 publications

(21 citation statements)

References 25 publications

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“…Though the phenomena of stochastic resonance has been seen in biological experiments and in slow environmental changes, engineering applications based on this has been a few [9][10][11][12][13][14][15] . The fundamental principle of harvesting the noise power to empower the signal or the information content of the input can prove quite useful if used for practical purposes.…”

Section: Application Of Sr In Imt Devicesmentioning

confidence: 99%

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Stochastic Resonance in Insulator-Metal-Transition Systems

Bhar

Khanna

Parihar

et al. 2020

Sci Rep

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Stochastic resonance (SR) is an ingenious phenomenon observed in nature and in biological systems but has seen very few practical applications in engineering. it has been observed and analyzed in widely different natural phenomenon including in bio-organisms (e.g. Mechanoreceptor of crayfish) and in environmental sciences (e.g. the periodic occurrence of ice ages). the main idea behind SR seems quite unorthodox-it proposes that noise, that is intrinsically present in a system or is extrinsically added, can help enhance the signal power at the output, in a desired frequency range. Despite its promise and ubiquitous presence in nature, SR has not been successively harnessed in engineering applications. in this work, we demonstrate both experimentally as well as theoretically how the intrinsic threshold noise of an insulator-metal-transition (iMt) material can enable SR. We borrow inspiration from natural systems which use SR to detect and amplify low-amplitude signals, to demonstrate how a simple electrical circuit which uses an iMt device can exploit SR in engineering applications. We explore two such applications: one of them utilizes noise to correctly transmit signals corresponding to different vowel sounds akin to auditory nerves, without amplifying the amplitude of the input audio sound. this finds applications in cochlear implants where ultra-low power consumption is a primary requirement. the second application leverages the frequency response of SR, where the loss of resonance at outof-band frequencies is used. We demonstrate how to provide frequency selectivity by tuning an extrinsically added noise to the system.

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Section: Application Of Sr In Imt Devicesmentioning

confidence: 99%

“…The phenomenon of SR in a multistable system and its application in fault-diagnosis in mechanical systems has been discussed in 12,13 . Further 14 and 15 provide an extensive discussion about the use of SR in enhancement of energy harvesting in electromechanical systems.…”

mentioning

confidence: 99%

Stochastic Resonance in Insulator-Metal-Transition Systems

Bhar

Khanna

Parihar

et al. 2020

Sci Rep

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“…where p(A, η, T 1 ) is the transition probability density. e two functions in equation (40) are defined as follows:…”

Section: Stochastic Bifurcationmentioning

confidence: 99%

“…us, the nonlinear energy harvesters, especially in stochastic vibratory environments, have become an unavoidable topic [34][35][36][37][38][39][40]. Xu et al [34] developed the stochastic averaging technique for the energy harvester under Gaussian white noise excitation to evaluate the mean-square electric voltage and mean output power.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, Liu et al [39] proposed a new quasiconservative stochastic averaging method to discuss the probabilistic response of the nonlinear energy harvesting system subjected to correlated Gaussian colored noise. Zhang and Jin [40] discussed the stationary probability density and signal-to-noise ratio of a piezoelectric energy harvester with correlated additive and multiplicative colored noises. He et al [41] explored the parameter resonance mechanism of nanocomposite energy harvesters based on Galerkin's method and the perturbation principle of Poincaré-Lindstedt.…”

Section: Introductionmentioning

confidence: 99%

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Resonance Mechanism of Nonlinear Vibrational Multistable Energy Harvesters under Narrow‐Band Stochastic Parametric Excitations

2019

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To improve energy harvesting performance, this paper investigates the resonance mechanism of nonlinear vibrational multistable energy harvesters under narrow-band stochastic parametric excitations. Based on the method of multiple scales, the largest Lyapunov exponent which determines the stability of the trivial steady-state solutions is derived. The first kind modified Bessel function is utilized to derive the solutions of the responses of multistable energy harvesters. Then, the first-order and second-order nontrivial steady-state moments of multistable energy harvesters are considered. To explore the stochastic bifurcation phenomenon between the nontrivial and trivial steady-state solutions, the Fokker–Planck–Kolmogorov equation corresponding to the two-dimensional Itô stochastic differential equations is solved by using the finite difference method. In addition, the mechanism of the stochastic bifurcation of multistable energy harvesters is analyzed for revealing their unique dynamic response characteristics.

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Dynamics of a delayed Duffing-type energy harvester under narrow-band random excitation

Jin

Zhang

2021

Acta Mech

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Stochastic dynamics of a piezoelectric energy harvester with correlated colored noises from rotational environment

Cited by 36 publications

References 25 publications

Stochastic Resonance in Insulator-Metal-Transition Systems

Stochastic Resonance in Insulator-Metal-Transition Systems

Resonance Mechanism of Nonlinear Vibrational Multistable Energy Harvesters under Narrow‐Band Stochastic Parametric Excitations

Dynamics of a delayed Duffing-type energy harvester under narrow-band random excitation

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