TY - JOUR
T1 - Stochastic analysis of a nonlinear electromagnetic energy harvesting system with fractional damping under additive and multiplicative stochastic excitation
AU - Ma, Du Meng
AU - Zhang, Shu Ling
AU - Zhang, Ying
AU - Xu, Wei
N1 - Publisher Copyright:
© 2020 World Scientific Publishing Company.
PY - 2020/6/30
Y1 - 2020/6/30
N2 - Electromagnetic energy harvester has been widely concerned in recent years due to its advantages of small size and high sensing frequency. In this paper, the stochastic behaviors of a nonlinear electromagnetic energy harvesting system (NEEH) with fractional damping are investigated under the additive and multiplicative stochastic excitation. Firstly, by applying the stochastic average method to the NEEH system, the mean square of the output current, and the steady-state probability density of vibration amplitude, displacement and velocity are obtained. Meanwhile, the validity of the theoretical results is verified by comparing with the numerical results given by the Monte Carlo method. Secondly, by investigating the theoretical and numerical results, the influences of noise intensity and fractional order on the NEEH system are explored. It is obvious that a higher output voltage can be obtained by the larger intensity of the stochastic excitation, and the smaller coefficient and fractional order of the fractional damping.
AB - Electromagnetic energy harvester has been widely concerned in recent years due to its advantages of small size and high sensing frequency. In this paper, the stochastic behaviors of a nonlinear electromagnetic energy harvesting system (NEEH) with fractional damping are investigated under the additive and multiplicative stochastic excitation. Firstly, by applying the stochastic average method to the NEEH system, the mean square of the output current, and the steady-state probability density of vibration amplitude, displacement and velocity are obtained. Meanwhile, the validity of the theoretical results is verified by comparing with the numerical results given by the Monte Carlo method. Secondly, by investigating the theoretical and numerical results, the influences of noise intensity and fractional order on the NEEH system are explored. It is obvious that a higher output voltage can be obtained by the larger intensity of the stochastic excitation, and the smaller coefficient and fractional order of the fractional damping.
KW - fractional damping
KW - Nonlinear electromagnetic energy harvesting system
KW - stochastic averaging method
KW - stochastic excitation, mean square voltage
UR - http://www.scopus.com/inward/record.url?scp=85089237501&partnerID=8YFLogxK
U2 - 10.1142/S021797922040113X
DO - 10.1142/S021797922040113X
M3 - 文章
AN - SCOPUS:85089237501
SN - 0217-9792
VL - 34
JO - International Journal of Modern Physics B
JF - International Journal of Modern Physics B
IS - 14-16
M1 - 2040113
ER -