Dynamics of a non-smooth type hybrid energy harvester with nonlinear magnetic coupling

Sengha, G. G.; Kenfack, W. Fokou; Siewe, M. Siewe; Tabi, Conrad Bertrand; Kofané, Timoléon Crépin

doi:10.1016/j.cnsns.2020.105364

Cited by 17 publications

(5 citation statements)

References 43 publications

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“…Te uncertainty, applied to a strong nonlinear system like a nonsmooth dynamical structure, may arouse some potential dynamic behaviors underlying intrinsic global structure to induce a switch or even a transition between multiple responses. For a nonsmooth system, of course, the change of dynamics might be intentional design (such as a stopper in an energy harvesting device [5,6]) or undesired trouble (such as clearances in a gear system [7,8]). Anyway, plenty of studies and their results have uncovered the fact that the noise, under a basic frame of global structure, dominates the fnal forms of responses.…”

Section: Introductionmentioning

confidence: 99%

A Short‐Time Non‐Gaussian Probability Approximation Based Method for Response Transitions of a Lévy‐Driven Nonsmooth System

Wang

Kang

et al. 2023

Mathematical Problems in Engineering

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This paper proposes an efficient short-time probability approximation with Lévy excitation to capture the transient probability distribution and its evolving path. Using principal component analysis (PCA), the method constructs a probability core to exclude outliers beyond it. The statistics of samples that fall inside the core are treated, with a prescribed fiducial probability, as an easy-to-estimate Gaussian type. The idea is verified numerically by compared with Monte-Carlo results. Then, it is integrated into the path integral (PI) method, combined with evolving probabilistic vector (EPV) techniques, to efficiently obtain probability distributions in each time step of PI. This scheme is semianalytical, only dependent on a relatively small amount of response samples to form the probability core; thus, it can have very computational advantages over full Monte-Carlo simulation to capture transient responses and probability distributions. The application to investigating response transitions of a nonsmooth system driven by Lévy shock and jump has revealed the performance of the proposed method. Also, the exit times of stochastic response are characterized quantitatively from the perspective of global dynamic transition. These investigations will be helpful to achieve the efficient probability estimation for nonlinear system with non-Gaussian inputs and quantify the reliability of the mechanical system.

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Section: Introductionmentioning

confidence: 99%

A Short‐Time Non‐Gaussian Probability Approximation Based Method for Response Transitions of a Lévy‐Driven Nonsmooth System

Wang

Kang

et al. 2023

Mathematical Problems in Engineering

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“…It is well known that non-smooth oscillators described by non-smooth factors such as friction and impact are widely present in mechanical engineering, and they contain a wealth of dynamic properties. Meanwhile, stochastic disturbances have been shown to affect the stability of such systems, including stochastic bifurcation [1,2], stochastic transition [3,4] and so on, which have been extensive concerned by scholars. In particular, the oscillators in the mechanical structures are subject to the combined action of impact and friction, the research of the stochastic response of such systems has significant instruction for practical applications [5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

P-bifurcation phenomena of the non-smooth modified rayleigh-duffing oscillator under the combined action of harmonic excitation and noise perturbation

Ma¹,

Wang

Zhang³

et al. 2023

Phys. Scr.

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In this paper, the stochastic dynamics of a modified Rayleigh-Duffing oscillator with Coulomb frictional damping and elastic impact is investigated under combined harmonic and noise excitations. On the premise of retaining the non-smooth properties, a non-smooth steady-state probability density response numerical calculation method is introduced by taking advantage of Markov process. Utilizing this method, the stochastic P-bifurcation phenomena of oscillators without and with externally excitation are discussed in detail by inscribing changes in the topology of the steady-state probability density function. It is displayed that certain nonlinear damping coefficient and external excitation amplitude change the structure of the response, and that both the friction coefficient and the elastic coefficient of the contact surface induce stochastic P-bifurcation phenomena in systems without and with harmonic excitation, respectively. This study reveals the effect of non-smooth factors on the stability of the Rayleigh-Duffing oscillator.

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“…Wang et al [31] investigated a 2-DOF hybrid piezoelectric-electromagnetic energy harvester to enhance the harvested power from the electromechanical transducer. Stochastic dynamics of the hybrid energy harvester were considered by Sengha et al [32] concerning the nonlinear magnetic coupling. Considering the piezomagneto-elastic energy-harvesting system under low-frequency excitations, Jahanshahi et al [33] studied the application of secondary resonances in multifrequency excitations.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamic Analysis of Hybrid Piezoelectric-Magnetostrictive Energy-Harvesting Systems

2022

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To progress the proficiency and broaden the action bandwidth of vibration energy harvesters, this paper presents a cantilever piezoelectric-magnetostrictive bistable hybrid energy harvester with a dynamic magnifier. The hybrid energy-harvesting system comprises two vibration degrees of freedom and two electrical degrees of freedom. It consists of a composite cantilever beam made of three layers, in which the magnetostrictive and piezoelectric layers are attached to the top and bottom of the base layer. The electromechanically coupled vibration equations of the whole hybrid structure were established with the lumped-parameter model while taking into account the magnetic interaction of two magnets. The nonlinear frequency-response of vibrations for the hybrid harvester is calculated using the harmonic balance method, and the model has been validated by literature. The time response and phase portraits of oscillation for the cantilever harvester and its performance in generating electrical power under different magnet distances, dynamic magnifier features, and excitation levels are analyzed. Numerical results have shown that the hybrid structure can harvest additional electrical power and operates at larger bandwidth than routine bistable piezoelectric or magnetostrictive energy harvesters.

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Dynamics of a non-smooth type hybrid energy harvester with nonlinear magnetic coupling

Cited by 17 publications

References 43 publications

A Short‐Time Non‐Gaussian Probability Approximation Based Method for Response Transitions of a Lévy‐Driven Nonsmooth System

A Short‐Time Non‐Gaussian Probability Approximation Based Method for Response Transitions of a Lévy‐Driven Nonsmooth System

P-bifurcation phenomena of the non-smooth modified rayleigh-duffing oscillator under the combined action of harmonic excitation and noise perturbation

Nonlinear Dynamic Analysis of Hybrid Piezoelectric-Magnetostrictive Energy-Harvesting Systems

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