Stochastic responses of lightly nonlinear vibroimpact system with inelastic impact subjected to external Poisson white noise excitation
type: Item
instance of: scholarly article
title: Stochastic responses of lightly nonlinear vibroimpact system with inelastic impact subjected to external Poisson white noise excitation
zbMATH Open document ID: 1427.70054
DOI: 10.1155/2018/3627195
author: Guidong Yang
author: Wei Xu
author: Mengli Hao
author: Dongmei Huang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: A procedure for analyzing stationary responses of lightly nonlinear vibroimpact system with inelastic impact subjected to external Poisson white noise excitation is proposed. First, the original vibroimpact system is transformed to a new system without velocity jump in terms of the Zhuravlev nonsmooth coordinate transformation and the Dirac delta function. Second, the averaged generalized Fokker-Planck-Kolmogorov (FPK) equation for transformed system under parametric excitation of Poisson white noise is derived by stochastic averaging method. Third, the averaged generalized FPK equation is solved by using the perturbation technique and inverse transformation of the Zhuravlev nonsmooth coordinate transformation to obtain the approximately stationary solutions for response probability density functions of original vibroimpact system. Last, analytical and numerical results for two typical lightly nonlinear vibroimpact systems are presented to assess the effectiveness of the proposed method. It is found that they are in good agreement and the proposed method is quite effective.
Mathematics Subject Classification ID: 70K40
Mathematics Subject Classification ID: 34F15
Mathematics Subject Classification ID: 60H30
zbMATH DE Number: 7018831
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/3627195
OpenAlex ID: W2802323087
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description: scientific article; zbMATH DE number 7018831