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Response analysis for a vibroimpact Duffing system with bilateral barriers under external and parametric Gaussian white noises

Guidong Yang, Wei Xu, Xudong Gu and Dongmei Huang

Chaos, Solitons & Fractals, 2016, vol. 87, issue C, 125-135

Abstract: In this paper, a vibroimpact Duffing oscillator with two barriers that are symmetrical with respect to the equilibrium point of the system is considered for the cases of external and parametric Gaussian white noise random excitations. According to the levels of the system energy, the motions of the unperturbed vibroimpact system are divided into two types: oscillations without impacts and oscillations with alternate impacts on both sides. Then, under the assumption that the vibroimpact Duffing system is quasi-conservative, the stochastic averaging method for energy envelope is applied to obtain the averaged drift and diffusion coefficients for the two types of motions, respectively. The Probability Density Functions (PDFs) of stationary responses are derived by solving the corresponding Fokker-Plank-Kolmogorov (FPK) equation. Lastly, results obtained from the proposed procedure are validated by directly numerical simulation. Meanwhile, effects of the position of bilateral barriers and the random excitations on the PDFs of the stationary responses are also discussed.

Keywords: Vibroimpact Duffing system; Bilateral barriers; Energy loss; Averaging method; External and parametric excitations (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:87:y:2016:i:c:p:125-135

DOI: 10.1016/j.chaos.2016.03.017

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