TY - JOUR
T1 - Response analysis of nonlinear vibro-impact system coupled with viscoelastic force under colored noise excitations
AU - Wang, Deli
AU - Xu, Wei
AU - Gu, Xudong
AU - Pei, Haiqing
N1 - Publisher Copyright:
© 2016 Elsevier Ltd
PY - 2016/11/1
Y1 - 2016/11/1
N2 - This paper is mainly dealing with the stochastic responses of nonlinear vibro-impact (VI) system coupled with viscoelastic force excited by colored noise. By the aid of approximate conversion for the viscoelastic force, the original stochastic VI system is transformed into an equivalent stochastic system without viscoelastic term. Then, the equations of the converted system are simplified by non-smooth transformation, and the stochastic averaging method is employed to solve the above simplified system. A Van der Pol VI oscillator coupled with viscoelastic force is worked out in detail to illustrate the application of the mentioned method, and therewith the analytical solutions fit the numerical simulation results based on the original system. Therefore, the present analytical means of investigating this system is proved to be feasible. Additionally, the exploration of stochastic P-bifurcation by two different ways is also demonstrated in this paper through varying the value of the certain system parameters. Besides, it shows a noteworthy fact that assigning zero or a positive value to the magnitude of viscoelastic force can also lead to the bimodal shape of different degrees in the process of stochastic bifurcations.
AB - This paper is mainly dealing with the stochastic responses of nonlinear vibro-impact (VI) system coupled with viscoelastic force excited by colored noise. By the aid of approximate conversion for the viscoelastic force, the original stochastic VI system is transformed into an equivalent stochastic system without viscoelastic term. Then, the equations of the converted system are simplified by non-smooth transformation, and the stochastic averaging method is employed to solve the above simplified system. A Van der Pol VI oscillator coupled with viscoelastic force is worked out in detail to illustrate the application of the mentioned method, and therewith the analytical solutions fit the numerical simulation results based on the original system. Therefore, the present analytical means of investigating this system is proved to be feasible. Additionally, the exploration of stochastic P-bifurcation by two different ways is also demonstrated in this paper through varying the value of the certain system parameters. Besides, it shows a noteworthy fact that assigning zero or a positive value to the magnitude of viscoelastic force can also lead to the bimodal shape of different degrees in the process of stochastic bifurcations.
KW - Colored noise
KW - Nonlinear vibro-impact system
KW - Stochastic bifurcation
KW - Viscoelastic force
UR - http://www.scopus.com/inward/record.url?scp=84981730979&partnerID=8YFLogxK
U2 - 10.1016/j.ijnonlinmec.2016.08.001
DO - 10.1016/j.ijnonlinmec.2016.08.001
M3 - 文章
AN - SCOPUS:84981730979
SN - 0020-7462
VL - 86
SP - 55
EP - 65
JO - International Journal of Non-Linear Mechanics
JF - International Journal of Non-Linear Mechanics
ER -