کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1888748 1533638 2016 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Response analysis for a vibroimpact Duffing system with bilateral barriers under external and parametric Gaussian white noises
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک آماری و غیرخطی
پیش نمایش صفحه اول مقاله
Response analysis for a vibroimpact Duffing system with bilateral barriers under external and parametric Gaussian white noises
چکیده انگلیسی


• The stationary response of a vibroimpact Duffing oscillator with two barriers is considered under external and parametric Gaussian white noise random excitations.
• According to the levels of the system energy, the possible motions of the unperturbed vibroimpact system are discussed.
• Stationary responses are obtained by a stochastic averaging method for energy envelope.
• Results obtained from the proposed procedure are validated by directly numerical simulation.

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chaos, Solitons & Fractals - Volume 87, June 2016, Pages 125–135
نویسندگان
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