TY - JOUR
T1 - Multi-valued responses of a nonlinear vibro-impact system excited by random narrow-band noise
AU - Huang, Dongmei
AU - Xu, Wei
AU - Liu, Di
AU - Han, Qun
N1 - Publisher Copyright:
© SAGE Publications.
PY - 2016/7/1
Y1 - 2016/7/1
N2 - We investigate the multi-valued responses of a non-linear vibro-impact oscillator with a one-sided barrier subject to random narrow-band excitation. The frequency response of the system is obtained using the Krylov-Bogoliubov averaging method. Meanwhile, the backbone curve and the critical equation of unstable region are also derived for the deterministic case. Then, the method of moment is applied to obtain the iterative calculation equation for the mean-square response amplitude under the stochastic case. Excitation frequency, nonlinearity intensity, damping parameters, especially the distance between the system's static equilibrium position and the barrier can lead to triple-valued response under certain case. In some conditions the impact system may have two or four steady-state solutions, which is an interesting phenomenon for impact system. The unstable region is one uniform part while under smaller nonlinearity intensity it is divided into two parts. Moreover, we also find that as random noise intensity increases, the pervasion of the phase trajectories strengthens, and then destroys the topological property of the phase trajectories.
AB - We investigate the multi-valued responses of a non-linear vibro-impact oscillator with a one-sided barrier subject to random narrow-band excitation. The frequency response of the system is obtained using the Krylov-Bogoliubov averaging method. Meanwhile, the backbone curve and the critical equation of unstable region are also derived for the deterministic case. Then, the method of moment is applied to obtain the iterative calculation equation for the mean-square response amplitude under the stochastic case. Excitation frequency, nonlinearity intensity, damping parameters, especially the distance between the system's static equilibrium position and the barrier can lead to triple-valued response under certain case. In some conditions the impact system may have two or four steady-state solutions, which is an interesting phenomenon for impact system. The unstable region is one uniform part while under smaller nonlinearity intensity it is divided into two parts. Moreover, we also find that as random noise intensity increases, the pervasion of the phase trajectories strengthens, and then destroys the topological property of the phase trajectories.
KW - Krylov-Bogoliubov averaging method
KW - Multi-valued response
KW - narrow-band excitation
KW - non-smooth transformation
KW - vibro-impact system
UR - http://www.scopus.com/inward/record.url?scp=84974824069&partnerID=8YFLogxK
U2 - 10.1177/1077546314546512
DO - 10.1177/1077546314546512
M3 - 文章
AN - SCOPUS:84974824069
SN - 1077-5463
VL - 22
SP - 2907
EP - 2920
JO - JVC/Journal of Vibration and Control
JF - JVC/Journal of Vibration and Control
IS - 12
ER -