Stochastic dynamics of a tri-stable piezoelectric vibration energy harvester interfaced with a standard rectifier circuit

Zhang, Tingting; Jin, Yanfei; Zhang, Yanxia

doi:10.1016/j.jsv.2022.117379

Cited by 10 publications

(2 citation statements)

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“…Multi-stability refers to the coexistence of multiple stable equilibrium states in nonlinear dynamical systems, which has been observed in many mechanical systems such as multi-stable energy harvesters, [12,13] nonlinear vibrational isolators, [14] and multi-stable inflatable origami structures. [15] When noise is considered in multi-stable systems, some interesting phenomena such as noise-induced resonances, [16,17] attractor preference, [18] and attractor hopping [19] spring up.…”

Section: Introductionmentioning

confidence: 99%

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An underdamped and delayed tri-stable model-based stochastic resonance

Jin 靳,

Wang 王,

Zhang 张

2024

Chinese Phys. B

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Stochastic resonance (SR) is investigated in an underdamped tri-stable potential system driven by Gaussian colored noise and a periodic excitation, where both displacement and velocity time-delayed states feedback are considered. It is challenging to study SR in a second-order delayed multi-stable system analytically. In this paper, the improved energy envelope stochastic average method is developed to derive the analytical expressions of stationary probability density (SPD) and spectral amplification. The effects of noise intensity, damping coefficient and time delay on SR are analyzed. The results show that the shapes of joint SPD can be adjusted to the desired structure by choosing the time delay and feedback gains. For fixed time delay, the SR peak is increased for negative displacement or velocity feedback gain. Meanwhile, the SR peak is decreased while the optimal noise intensity increases with increasing correlation time of noise. The Monte Carlo simulations (MCS) confirm the effectiveness of the theoretical results.

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Section: Introductionmentioning

confidence: 99%

“…ε and ω are the amplitude and frequency of the periodic signal. The η(t) denotes a Gaussian colored noise with the following statistical properties: [12] η…”

Section: Introductionmentioning

confidence: 99%