Stochastic analysis of a time-delayed viscoelastic energy harvester subjected to narrow-band noise

Yang, Yong-Ge; Zeng, Yuan-Hui; Sun, Yahui; Xu, Wei

doi:10.1016/j.ijnonlinmec.2022.104230

Cited by 2 publications

(3 citation statements)

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“…Due to the existence of multiple coexisting attractors, the random components superimposed on the harmonic excitation will lead to different dynamic behaviors with different parameter values, which is called the stochastic bifurcation. [40,53] Figure 6 shows the bifurcation diagram about the steady-state moment E(a) under σ and β . The number of system solutions E(a) is analyzed by employing the detuning frequency σ and viscoelastic parameter β as bifurcation parameters, and the corresponding bifurcation diagram is shown in Fig.…”

Section: Response Analysismentioning

confidence: 99%

“…Recently, there are several papers [38][39][40][41] focused on vibration EHSs with viscoelastic materials. In Refs.…”

Section: Introductionmentioning

confidence: 99%

“…In Refs. [40,41] the authors studied a single type of piezoelectric EHSs by applying the multi-scales method. The vital difference between our study and the above-mentioned studies is that we consider a hybrid vibration EHS subjected to narrow-band noise excitation by employing the multi-scales method.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic responses of an energy harvesting system based on piezoelectric and electromagnetic mechanisms under colored noise

et al. 2023

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Because of the increasing demand for electrical energy, vibration energy harvesters (VEHs) that convert vibratory energy into electrical energy are a promising technology. In order to improve the efficiency of harvesting energy from environmental vibration, the hybrid vibration energy harvester (VEH) is investigated. Unlike previous studies, this article analyzes the stochastic responses of the hybrid piezoelectric and electromagnetic energy harvesting system (EHS) with viscoelastic material under narrow-band (colored) noise. Firstly, a mass-spring-damping system model coupled with piezoelectric and electromagnetic circuits under fundamental acceleration excitation is established and analytical solutions to the dimensionless equations are derived. Then, the formula of the amplitude-frequency responses in the deterministic case and the first-order and second-order steady-state moments (FSSM) of the amplitude in the stochastic case are obtained by the multi-scales method. And the amplitude-frequency analytical solutions are in good agreement with the numerical solutions obtained by the Monte Carlo method. Furthermore, the stochastic bifurcation diagram is plotted for the first-order steady-state moment of the amplitude with respect to the detuning frequency and viscoelastic parameter. Eventually, the influence of system parameters on mean-square electric voltage, mean-square electric current and mean output power is discussed. Results show that the electromechanical coupling coefficients, random excitation and viscoelastic parameter have a positive effect on the output power of the system.

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Section: Response Analysismentioning

confidence: 99%

“…Recently, there are several papers [38][39][40][41] focused on vibration EHSs with viscoelastic materials. In Refs.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic responses of an energy harvesting system based on piezoelectric and electromagnetic mechanisms under colored noise

et al. 2023

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Stochastic dynamics of an electromagnetic energy harvesting suspension with time-delayed feedback and fractional damping

Yang,

Cen

2024

International Journal of Non-Linear Mechanics

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Stochastic analysis of a time-delayed viscoelastic energy harvester subjected to narrow-band noise

Cited by 2 publications

References 50 publications

Dynamic responses of an energy harvesting system based on piezoelectric and electromagnetic mechanisms under colored noise

Dynamic responses of an energy harvesting system based on piezoelectric and electromagnetic mechanisms under colored noise

Stochastic dynamics of an electromagnetic energy harvesting suspension with time-delayed feedback and fractional damping

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