Stochastic analysis of a galloping-random wind energy harvesting performance on a buoy platform

K Yang, A Abdelkefi, X Li, Y Mao, L Dai… - Energy Conversion and …, 2021 - Elsevier
A new concept of a galloping-random wind energy harvester, which is a galloping-based
piezoelectric harvester mounted on a buoy platform is proposed. The galloping-random …

Stochastic P-bifurcation and stochastic resonance in a noisy bistable fractional-order system

JH Yang, MAF Sanjuán, HG Liu, G Litak, X Li - … in Nonlinear Science and …, 2016 - Elsevier
We investigate the stochastic response of a noisy bistable fractional-order system when the
fractional-order lies in the interval (0, 2]. We focus mainly on the stochastic P-bifurcation and …

Dynamic responses of a two-degree-of-freedom bistable electromagnetic energy harvester under filtered band-limited stochastic excitation

X Li, J Zhang, R Li, L Dai, W Wang, K Yang - Journal of Sound and …, 2021 - Elsevier
This study investigates the dynamic responses of a two-degree-of-freedom (2DOF)
nonlinear bistable electromagnetic energy harvester under filtered band-limited stochastic …

Bifurcations analysis of a multiple attractors energy harvesting system with fractional derivative damping under random excitation

W Zhang, W Xu, L Niu, Y Tang - Communications in Nonlinear Science and …, 2023 - Elsevier
The multiple attractors energy harvester, which can convert mechanical energy into
electrical energy, is a typical birhythmic system. This paper investigates the stochastic …

Dynamic analysis of a plate on the generalized foundation with fractional damping subjected to random excitation

A Hosseinkhani, D Younesian… - Mathematical …, 2018 - Wiley Online Library
Stochastic response of a plate on the generalized foundation driven by random excitation is
solved in this paper. Governing differential equation is obtained by employing the Galerkin …

Survival probability of nonlinear oscillators endowed with fractional derivative element and subjected to evolutionary excitation: A stochastic averaging treatment with …

Y Zhang, S Li, F Kong - Probabilistic Engineering Mechanics, 2021 - Elsevier
An analytical method for determining stochastic response and survival probability of
nonlinear oscillators endowed with fractional element and subjected to evolutionary …

Stochastic analysis of monostable vibration energy harvesters with fractional derivative damping under Gaussian white noise excitation

YG Yang, W Xu - Nonlinear Dynamics, 2018 - Springer
To the best of authors' knowledge, the dynamical behaviors of vibration energy harvesters
with fractional derivative damping have not been discussed by researchers with the help of …

Bifurcations in a fractional birhythmic biological system with time delay

Q Guo, Z Sun, W Xu - … in Nonlinear Science and Numerical Simulation, 2019 - Elsevier
This paper presents a bifurcation analysis in a stochastic time-delayed birhythmic oscillator
containing fractional derivative. Analytical criterion for birhythmic region is obtained by …

Probabilistic response of a fractional-order hybrid vibration energy harvester driven by random excitation

YH Sun, YG Yang, Y Zhang, W Xu - Chaos: An Interdisciplinary Journal …, 2021 - pubs.aip.org
The stochastic response of a fractional-order hybrid vibration energy harvester is
investigated in this paper. Equivalent system can be derived by the variable transformation …

Bifurcation analysis of an energy harvesting system with fractional order damping driven by colored noise

YG Yang, YH Sun, W Xu - International Journal of Bifurcation and …, 2021 - World Scientific
Vibration energy harvester, which can convert mechanical energy to electrical energy so as
to achieve self-powered micro-electromechanical systems (MEMS), has received extensive …