TY - JOUR
T1 - Resonant response of a non-linear vibro-impact system to combined deterministic harmonic and random excitations
AU - Rong, Haiwu
AU - Wang, Xiangdong
AU - Xu, Wei
AU - Fang, Tong
PY - 2010/6
Y1 - 2010/6
N2 - The resonant resonance response of a single-degree-of-freedom non-linear vibro-impact oscillator, with cubic non-linearity items, to combined deterministic harmonic and random excitations is investigated. The method of multiple scales is used to derive the equations of modulation of amplitude and phase. The effects of damping, detuning, and intensity of random excitations are analyzed by means of perturbation and stochastic averaging method. The theoretical analyses verified by numerical simulations show that when the intensity of the random excitation increases, the non-trivial steady-state solution may change from a limit cycle to a diffused limit cycle. Under certain conditions, impact system may have two steady-state responses. One is a non-impact response, and the other is either an impact one or a non-impact one.
AB - The resonant resonance response of a single-degree-of-freedom non-linear vibro-impact oscillator, with cubic non-linearity items, to combined deterministic harmonic and random excitations is investigated. The method of multiple scales is used to derive the equations of modulation of amplitude and phase. The effects of damping, detuning, and intensity of random excitations are analyzed by means of perturbation and stochastic averaging method. The theoretical analyses verified by numerical simulations show that when the intensity of the random excitation increases, the non-trivial steady-state solution may change from a limit cycle to a diffused limit cycle. Under certain conditions, impact system may have two steady-state responses. One is a non-impact response, and the other is either an impact one or a non-impact one.
KW - Multiple scales method
KW - Non-linear vibro-impact system
KW - Random responses
UR - http://www.scopus.com/inward/record.url?scp=77950859327&partnerID=8YFLogxK
U2 - 10.1016/j.ijnonlinmec.2010.01.005
DO - 10.1016/j.ijnonlinmec.2010.01.005
M3 - 文章
AN - SCOPUS:77950859327
SN - 0020-7462
VL - 45
SP - 474
EP - 481
JO - International Journal of Non-Linear Mechanics
JF - International Journal of Non-Linear Mechanics
IS - 5
ER -