Response of MDOF strongly nonlinear systems to fractional Gaussian noises

被引：10

作者：

Deng, Mao-Lin ^{[1
]}

Zhu, Wei-Qiu ^{[1
]}

机构：

[1] Zhejiang Univ, State Key Lab Fluid Power & Mechatron Syst, Key Lab Soft Machines & Smart Devices Zhejiang Pr, Hangzhou 310027, Zhejiang, Peoples R China

来源：

CHAOS | 2016年 / 26卷 / 08期

基金：

中国国家自然科学基金;

关键词：

OPTIMAL BOUNDED CONTROL;

D O I：

10.1063/1.4960817

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, multi-degree-of-freedom strongly nonlinear systems are modeled as quasi-Hamiltonian systems and the stochastic averaging method for quasi-Hamiltonian systems (including quasi-non-integrable, completely integrable and non-resonant, completely integrable and resonant, partially integrable and non-resonant, and partially integrable and resonant Hamiltonian systems) driven by fractional Gaussian noise is introduced. The averaged fractional stochastic differential equations (SDEs) are derived. The simulation results for some examples show that the averaged SDEs can be used to predict the response of the original systems and the simulation time for the averaged SDEs is less than that for the original systems. Published by AIP Publishing.

引用

页数：8

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