Dynamic Characterization of a Bistable Energy Harvester Under Gaussian White Noise for Larger Time Constant

2018 ◽  
Vol 44 (2) ◽  
pp. 721-730 ◽  
Author(s):  
Sovan Sundar Dasgupta ◽  
Vasudevan Rajamohan ◽  
Abhishek Kumar Jha
Keyword(s):  
White Noise ◽  
Time Constant ◽  
Energy Harvester ◽  
Gaussian White Noise ◽  
Dynamic Characterization ◽  
Bistable Energy Harvester

Probabilistic Solution of a Duffing-Type Energy Harvester System Under Gaussian White Noise

2015 ◽  
Vol 1 (1) ◽  
Author(s):  
H. T. Zhu
Keyword(s):  
White Noise ◽  
Energy Harvester ◽  
Gaussian White Noise ◽  
Joint Probability ◽  
Solution Procedure ◽  
Displacement Velocity ◽  
Strong Nonlinearity ◽  
Probabilistic Solution ◽  
Joint Probability Density ◽  
Electrical Variable

This paper proposes a solution procedure to formulate an approximate joint probability density function (PDF) of a Duffing-type energy harvester system under Gaussian white noise. The joint PDF solution of displacement, velocity, and an electrical variable is governed by the Fokker-Planck (FP) equation. First, the FP equation is reduced to a lower-dimensional FP equation only about displacement and velocity by a state-space-split (SSS) method. The stationary joint PDF of displacement and velocity can be solved exactly. Then, the joint PDF of displacement, velocity, and the electrical variable can be approximated by the product of the obtained exact PDF and the conditional Gaussian PDF of the electrical variable. A parametric study is further conducted to show the effectiveness of the proposed solution procedure. The study considers weak nonlinearity, strong nonlinearity, high excitation level, and a bistable oscillator. Comparison with the simulated results shows that the proposed solution procedure is effective in obtaining the joint PDF of the energy harvester system in the examined examples.

Internal Resonance Energy Harvesting

2015 ◽  
Vol 82 (3) ◽  
Author(s):  
Li-Qun Chen ◽  
Wen-An Jiang
Keyword(s):  
Energy Harvesting ◽  
White Noise ◽  
Frequency Response ◽  
Internal Resonance ◽  
Energy Harvester ◽  
Multiple Scales ◽  
Gaussian White Noise ◽  
Resonance Energy ◽  
Correlated Noise ◽  
Amplitude Frequency Response

Internal resonance is explored as a possible mechanism to enhance vibration-based energy harvesting. An electromagnetic device with snap-through nonlinearity is proposed as an archetype of an internal resonance energy harvester. Based on the equations governing the vibration measured from a stable equilibrium position, the method of multiple scales is applied to derive the amplitude–frequency response relationships of the displacement and the power in the first primary resonances with the two-to-one internal resonance. The amplitude–frequency response curves have two peaks bending to the left and the right, respectively. The numerical simulations support the analytical results. Then the averaged power is calculated under the Gaussian white noise, the narrow-band noise, the colored noise defined by a second-order filter, and the exponentially correlated noise. The results demonstrate numerically that the internal resonance design produces more power than other designs under the Gaussian white noise and the exponentially correlated noise. Besides, the internal resonance energy harvester can outperform the linear energy harvesters with the same natural frequencies and in the same size under Gaussian white noise.

Probabilistic analysis and ghost-stochastic resonance of a hybrid energy harvester under Gaussian White noise

Meccanica ◽  
2020 ◽  
Vol 55 (9) ◽  
pp. 1679-1691
Author(s):  
G. J. Fezeu ◽  
I. S. Mokem Fokou ◽  
C. Nono Dueyou Buckjohn ◽  
M. Siewe Siewe ◽  
C. Tchawoua
Keyword(s):  
White Noise ◽  
Stochastic Resonance ◽  
Probabilistic Analysis ◽  
Energy Harvester ◽  
Gaussian White Noise ◽  
Hybrid Energy ◽  
Hybrid Energy Harvester

Bistable energy harvester using easy snap-through performance to increase output power

Energy ◽  
2021 ◽  
Vol 226 ◽  
pp. 120414
Author(s):  
Wu Nan ◽  
He Yuncheng ◽  
Fu Jiyang
Keyword(s):  
Output Power ◽  
Energy Harvester ◽  
Bistable Energy Harvester
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