کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8253471 | 1533612 | 2018 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Response of non-linear oscillator driven by fractional derivative term under Gaussian white noise
ترجمه فارسی عنوان
پاسخ نوسانگر غیر خطی رانده شده توسط اصطلاح مشتقه کسری تحت نویز سفید گاووس
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک آماری و غیرخطی
چکیده انگلیسی
This paper aimed to investigate the stationary response of non-linear system with fractional derivative damping term under Gaussian white noise excitation. The corresponding Fokker-Plank-Kolmogorov (FPK) equation can be deduced by utilizing the stochastic averaging method and Stratonovich-Khasminskii theorem in the first place. And then we can solve the FPK equation to obtain the stationary probability densities (SPDs) of amplitude, which in fact can be used to describe the response of system. Furthermore, the analytical results coincide with the Monte Carlo results. Finally, one found that reducing fractional derivative order is able to enhance the response of system and increasing fractional coefficient can weaken the response of system. So the fractional derivative damping term has a great effect on the response of Duffing-Van der Pol oscillator. In addition, the response can also be influenced by other system parameters.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chaos, Solitons & Fractals - Volume 113, August 2018, Pages 102-107
Journal: Chaos, Solitons & Fractals - Volume 113, August 2018, Pages 102-107
نویسندگان
Ning Xin, Ma Yanyan, Li Shuai, Zhang Jingmin, Li Yifei,