Stochastic bifurcations in a nonlinear tri-stable energy harvester under colored noise

Zhang, Yanxia; Jin, Yanfei; Xu, Pan; Xiao, Shaomin

doi:10.1007/s11071-018-4702-3

Cited by 52 publications

(15 citation statements)

References 46 publications

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“…It is well known that pure harmonic excitation is ideal, while there are a lot of random excitations in ambient environment which affect the energy harvesting performance of BEHs [82,83]. Zhang et al [84,85] analyzed the stochastic bifurcations and the response characteristics of a TEH subjected to colored noise, and they obtained the averaged Fokker-Plank-Kolmogorov (FPK) equation and the stationary probability density of the amplitude via the stochastic averaging method. In addition, Monte Carlo simulations were selected for verifying the theoretical results.…”

Section: Influence Mechanism and Optimizationmentioning

confidence: 99%

Multistable vibration energy harvesters: Principle, progress, and perspectives

Zhou

Lallart

Ertürk

2022

Journal of Sound and Vibration

123

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Section: Influence Mechanism and Optimizationmentioning

confidence: 99%

Multistable vibration energy harvesters: Principle, progress, and perspectives

Zhou

Lallart

Ertürk

2022

Journal of Sound and Vibration

123

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“…To better understand the change rules of harvesting performance, many stochastic methods have been developed to analyze the correlation between the model structure of the system and the harvesting performance. For example, the effect of stochastic VEH system parameters with different design structures on the mean square voltage was investigated using the stochastic averaging method [22][23][24][25][26]. The harmonic balance method [27] and the multiple scale technique [28], two other analysis techniques, were used to obtain the vibration response of forced VEH systems.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic Response and Performance Predict of Nonlinear Vibration Energy Harvesting Systems Based on Partial Information

Liu

et al. 2022

J Nonlinear Math Phys

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Vibration energy harvesting technology is a hotspot research area in energy harvesting technology because it can convert the vibrational energy in the environment into electrical energy for output and thus provide the distributed energy for microelectromechanical systems. To improve the energy harvesting performance of the vibration energy harvesting system with partial information, we analyzed the probabilistic response of the stochastic system excited by Gaussian white noise under different geometric structures and effectively predicted the corresponding energy harvesting performance. Firstly, we established the coupling moment equation of the vibration energy harvesting system with the cumulant truncation method and then obtained some high-order moments. Then, the probability density function of the stationary response was set in exponential form with unknown parameters by using the maximum entropy principle, and those the unknown parameters will be obtained by solving the minimum value of an objective function, which contains the obtained moment information. Finally, the effects of the physical parameters (including geometric structure parameters and Gaussian white noise) on the dynamic behavior of the vibration energy harvesting system with only partial information have been studied and verified all results by direct numerical simulation.

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“…In this study, the random road excitation (i.e. road irregularity) is assumed as colored noise and generated by passing a white noise through a linear first-order filter [22][23][24].To the authors' knowledge, the stochastic dynamics of a bi-stable VEH with time-delayed feedback control driven by colored noise and a periodic excitation has received less attention.…”

Section: Introductionmentioning

confidence: 99%