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- Title
Response Analysis of van der Pol Vibro-Impact System with Coulomb Friction Under Gaussian White Noise.
- Authors
Su, Meng; Xu, Wei; Yang, Guidong
- Abstract
In this paper, the stationary response of a van der Pol vibro-impact system with Coulomb friction excited by Gaussian white noise is studied. The Zhuravlev nonsmooth transformation of the state variables is utilized to transform the original system to a new system without the impact term. Then, the stochastic averaging method is applied to the equivalent system to obtain the stationary probability density functions (pdfs). The accuracy of the analytical results obtained from the proposed procedure is verified by those from the Monte Carlo simulation based on the original system. Effects of different damping coefficients, restitution coefficients, amplitudes of friction and noise intensities on the response are discussed. Additionally, stochastic P-bifurcations are explored.
- Subjects
COULOMB friction; WHITE noise; RANDOM noise theory; PROBABILITY density function; MONTE Carlo method
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2018, Vol 28, Issue 13, pN.PAG
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127418300434