کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4637591 | 1340744 | 2006 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Study of the Duffing–Rayleigh oscillator subject to harmonic and stochastic excitations by path integration
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, the Duffing–Rayleigh oscillator subject to harmonic and stochastic excitations is investigated via path integration based on the Gauss–Legendre integration formula. The method can successfully capture the steady state periodic solution of probability density function. This path integration method, using the periodicity of the coefficient of associated Fokker–Planck–Kolmogorov equation, is extended to deal with the averaged stationary probability density, and is efficient to computation. Meanwhile, the changes of probability density caused by the intensities of harmonic and stochastic excitations, are discussed in three cases through the instantaneous probability density and the averaged stationary probability density.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 172, Issue 2, 15 January 2006, Pages 1212–1224
Journal: Applied Mathematics and Computation - Volume 172, Issue 2, 15 January 2006, Pages 1212–1224
نویسندگان
W.X. Xie, W. Xu, L. Cai,