A stochastic averaging method on the strongly nonlinear Duffing-Rayleigh oscillator under Gaussian colored noise excitation
| Autor: | JinJuan Duan, ZePeng Li, Gen Ge, Qian Gao |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Physics
Mechanical Engineering lcsh:Mechanical engineering and machinery Mathematical analysis Probability density function 010103 numerical & computational mathematics 01 natural sciences stochastic averaging method Displacement (vector) Nonlinear system symbols.namesake He’s energy balance method Amplitude Gaussian noise Joint probability distribution Control theory 0103 physical sciences symbols General Materials Science lcsh:TJ1-1570 0101 mathematics Diffusion (business) Rayleigh scattering 010306 general physics Gaussian colored noise |
| Zdroj: | Journal of Vibroengineering, Vol 18, Iss 7, Pp 4766-4775 (2016) |
| ISSN: | 2538-8460 1392-8716 |
| Popis: | A modified stochastic averaging method on a Duffing-Rayleigh oscillator with strongly nonlinearity subject to Gaussian colored noise excitation was proposed. The so-called He’s energy balance method was applied to obtain the averaged frequency of the conservative system. Subsequently, the stochastic averaging method of strong nonlinearity was used. 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. The stationary responses of probability density of amplitudes, together with joint probability density of displacement and velocity are studied to verify the presented approach. The reliability of the systems was also investigated to offer further support. Digital simulations were carried out and the output of that are coincide with the theoretical approximations well. |
| Databáze: | OpenAIRE |
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