کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8254621 | 1533634 | 2016 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A modified stochastic averaging method on single-degree-of-freedom strongly nonlinear stochastic vibrations
ترجمه فارسی عنوان
یک روش اصلاح تصادفی بر روی یک درجه آزادی از ارتعاشات غیرمعمول به طور تصادفی
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کلمات کلیدی
روش میانگین سازی تصادفی، نویز سفید گاوسی، سر و صدا رنگ گاوسی، او روش تعادل انرژی است،
موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک آماری و غیرخطی
چکیده انگلیسی
A modified stochastic averaging method on single-degree-of-freedom (SDOF) oscillators under white noise excitations with strongly nonlinearity was proposed. Considering the existing approach dealing with strongly nonlinear SDOFs derived by Zhu and Huang [14, 15] is quite time consuming in calculating the drift coefficient and diffusion coefficients and the expressions of them are considerable long, the so-called He's energy balance method was applied to overcome the minor defect of the Zhu and Huang's method. The modified method can offer more concise approximate expressions of the drift and diffusion coefficients without weakening the accuracy of predicting the responses of the systems too much by giving an averaged frequency beforehand. Three examples, a cubic and quadratic nonlinearity coexisting oscillator, a quadratic nonlinear oscillator under external white noise excitations and an externally excited Duffing-Rayleigh oscillator, were given to illustrate the approach we proposed. The three examples were excited by the Gaussian white noise and the Gaussian colored noise separately. The stationary responses of probability density of amplitudes and energy, together with joint probability density of displacement and velocity are studied to verify the presented approach. The reliability of the systems were also investigated to offer further support. Digital simulations were carried out and the output of that are coincide with the theoretical approximations well.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chaos, Solitons & Fractals - Volume 91, October 2016, Pages 469-477
Journal: Chaos, Solitons & Fractals - Volume 91, October 2016, Pages 469-477
نویسندگان
Gen Ge, ZePeng Li,