Probabilistic response analysis of nonlinear vibration energy harvesting system driven by Gaussian colored noise

Vibration energy harvesting is to transform the ambient mechanical energy to electricity. How to reduce the resonance frequency and improve the conversion efficiency is very important. In this paper, a layer-separated piezoelectric cantilever beam is proposed for the vibration energy harvester (VEH) for low-frequency and wide-bandwidth operation, which can transform the mechanical impact energy to electric energy. First, the electromechanical coupling equation is obtained by the Euler-Bernoulli beam theory. Based on the average method, the approximate analytical solution is derived and the voltage response is obtained. Furthermore, the physical prototype is fabricated, and the vibration experiment is conducted to validate the theoretical principle. The experimental results show that the maximum power of 0.445 mW of the layer-separated VEH is about 3.11 times higher than that of the non-impact harvester when the excitation acceleration is 0.2 g. The operating frequency bandwidth can be widened by increasing the stiffness of the fundamental layer and decreasing the gap distance of the system. But the increasing of operating frequency bandwidth comes at the cost of reducing peak voltage. The theoretical simulation and the experimental results demonstrate good agreement which indicates that the proposed impact-driving VEH device has advantages for low-frequency and wide-bandwidth. The high performance provides great prospect to scavenge the vibration energy in environment.

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“…By substituting the linear solution of Eq. (22) into the first formula of the nonlinear equation (19), we can obtain…”

Section: Frequency Response Equationmentioning

confidence: 99%

“…To achieve this goal, scientists developed many kinds of oscillators based on linear and nonlinear vibration theory, such as bistable models [11][12][13] , multistable models [14][15][16] , and multidegrees models [17][18] . There are also stochastic excitation VEHs [19][20][21] and nonlinear internal resonance VEHs [7,13,22] .…”

Section: Introductionmentioning

confidence: 99%

Low-frequency and broadband vibration energy harvester driven by mechanical impact based on layer-separated piezoelectric beam

Cao

Xia

2019

Appl. Math. Mech.-Engl. Ed.

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“…In practice, the operation of the piezoelectric system is highly susceptible to the various random factors from internal and external environment fluctuation [32][33][34][35][36][37][38][39], for example, the devices which are manufactured by the piezoelectric ceramic widely used in meteorological observation and household appliances; the normal operation of these devices are often influenced by the atmospheric turbulence, voltage fluctuation, and even other random disturbance.…”

Section: Introductionmentioning

confidence: 99%

“…us, the nonlinear energy harvesters, especially in stochastic vibratory environments, have become an unavoidable topic [34][35][36][37][38][39][40]. Xu et al [34] developed the stochastic averaging technique for the energy harvester under Gaussian white noise excitation to evaluate the mean-square electric voltage and mean output power.…”

Section: Introductionmentioning

confidence: 99%

“…He and Daqaq [38] illustrated the optimal potential shape on the mean output power through the statistical linearization techniques. Recently, Liu et al [39] proposed a new quasiconservative stochastic averaging method to discuss the probabilistic response of the nonlinear energy harvesting system subjected to correlated Gaussian colored noise. Zhang and Jin [40] discussed the stationary probability density and signal-to-noise ratio of a piezoelectric energy harvester with correlated additive and multiplicative colored noises.…”

Section: Introductionmentioning

confidence: 99%

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Resonance Mechanism of Nonlinear Vibrational Multistable Energy Harvesters under Narrow‐Band Stochastic Parametric Excitations

2019

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To improve energy harvesting performance, this paper investigates the resonance mechanism of nonlinear vibrational multistable energy harvesters under narrow-band stochastic parametric excitations. Based on the method of multiple scales, the largest Lyapunov exponent which determines the stability of the trivial steady-state solutions is derived. The first kind modified Bessel function is utilized to derive the solutions of the responses of multistable energy harvesters. Then, the first-order and second-order nontrivial steady-state moments of multistable energy harvesters are considered. To explore the stochastic bifurcation phenomenon between the nontrivial and trivial steady-state solutions, the Fokker–Planck–Kolmogorov equation corresponding to the two-dimensional Itô stochastic differential equations is solved by using the finite difference method. In addition, the mechanism of the stochastic bifurcation of multistable energy harvesters is analyzed for revealing their unique dynamic response characteristics.

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Necessity and Available Technologies for Energy Harvesting

Nag

Mukhopadhyay

2022

Flexible Sensors for Energy-Harvesting Applications

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Probabilistic response analysis of nonlinear vibration energy harvesting system driven by Gaussian colored noise

Cited by 59 publications

References 32 publications

Low-frequency and broadband vibration energy harvester driven by mechanical impact based on layer-separated piezoelectric beam

Low-frequency and broadband vibration energy harvester driven by mechanical impact based on layer-separated piezoelectric beam

Resonance Mechanism of Nonlinear Vibrational Multistable Energy Harvesters under Narrow‐Band Stochastic Parametric Excitations

Necessity and Available Technologies for Energy Harvesting

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