Stochastic averaging for nonlinear vibration energy harvesting system

Xu, Ming; Jin, Xiaoling; Wang, Yong; Huang, Zhongdong

doi:10.1007/s11071-014-1527-6

Cited by 73 publications

(23 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For the linear harvester, the response and output power to single harmonic, period and random excitations are analytically derived by applying the method of the undetermined coefficients [51,52]. For the nonlinear energy harvester, the deterministic response can be determined through method of multi scale [53], while the random response is evaluated by Monte-Carlo simulation [54], the moment method [55], the finite element method [56], the Galerkin procedure [57], the equivalent linearization technique [58], the stochastic averaging [59] and the equivalent non-linearization technique [60].…”

Section: Vibration Energy Harvesting Technique: Thoughts and Analyticmentioning

confidence: 99%

Mechanics of flexible and stretchable piezoelectrics for energy harvesting

Chen

et al. 2015

Sci. China Phys. Mech. Astron.

View full text Add to dashboard Cite

As rapid development in wearable/implantable electronic devices benefit human life in daily health monitoring and disease treatment medically, all kinds of flexible and/or stretchable electronic devices are booming, together with which is the demanding of energy supply with similar mechanical property. Due to its ability in converting mechanical energy lying in human body into electric energy, energy harvesters based on piezoelectric materials are promising for applications in wearable/implantable device's energy supply in a renewable, clean and life-long way. Here the mechanics of traditional piezoelectrics in energy harvesting is reviewed, including why piezoelectricity is the choice for minor energy harvesting to power the implantable/wearable electronics and how. Different kinds of up to date flexible piezoelectric devices for energy harvesting are introduced, such as nanogenerators based on ZnO and thin and conformal energy harvester based on PZT. A detailed theoretical model of the flexible thin film energy harvester based on PZT nanoribbons is summarized, together with the in vivo demonstration of energy harvesting by integrating it with swine heart. Then the initial researches on stretchable energy harvesters based on piezoelectric material in wavy or serpentine configuration are introduced as well. piezoelectric effect, energy harvesting, flexible electronics, stretchable electronics PACS number(s): 85.85.+j, 85.50.-n, 77.65.-j, 85.40.Hp Citation: Chen Y, Lu B W, Ou D P, et al. Mechanics of flexible and stretchable piezoelectrics for energy harvesting.

show abstract

Section: Vibration Energy Harvesting Technique: Thoughts and Analyticmentioning

confidence: 99%

Mechanics of flexible and stretchable piezoelectrics for energy harvesting

Chen

et al. 2015

Sci. China Phys. Mech. Astron.

View full text Add to dashboard Cite

show abstract

“…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. ey also considered the responses of bistable energy harvester under additive and multiplicative white noises [35].…”

Section: Introductionmentioning

confidence: 99%

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

2019

View full text Add to dashboard Cite

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.

show abstract

“…To model the nonlinear energy harvesting, a set of coupled equations between a randomly excited spring-mass-damper system and a capacitive energy harvesting circuit using a linear electromechanical coupling coefficient [1,2,16]. A simple model can be established by neglecting the effective inductance of the harvesting circuit for electromagnetic inductance mechanism or the effective capacitance of the piezoelectric element for piezoelectric mechanism [9,17,18]. By this way, the electronic variable, such as current and voltage, can be directly formulated as the function of system velocity according to the electric equation.…”

Section: Introductionmentioning

confidence: 99%