Reliability and control of strongly nonlinear vibro-impact system under external and parametric Gaussian noises

被引：0
|
作者：
LIU Li [1 ,2 ]
XU Wei [1 ]
YANG GuiDong [3 ]
HUANG DongMei [3 ]
机构：
[1] Department of Applied Mathematics, Northwestern Polytechnic University
[2] School of Mathematics and Statistics, Xidian University
[3] School of Mathematics and Statistics, Ningxia University
来源：
Science China Technological Sciences | 2020年 / 09期
基金：
中国国家自然科学基金;
关键词：
D O I：
暂无
中图分类号：
TB114.3 [可靠性理论]; TB53 [振动、噪声及其控制];
学科分类号：
083002 ; 1201 ; 120402 ;
摘要：
This paper mainly focuses on reliability and the optimal bounded control for maximizing system reliability of a strongly nonlinear vibro-impact system. Firstly, the new stochastic averaging in which the impact condition is converted to the system energy is applied to obtain the averaged It? stochastic differential equation, by which the associated Backward Kolmogorov(BK)equation and Generalized Pontryagin(GP) equation are derived. Then, the dynamical programming equations are obtained based on the dynamical programming principle, by which the optimal bounded control for maximizing system reliability is devised.Finally, the effects of the bounded control and noise intensity on the reliability of the vibro-impact system are discussed in detail;meanwhile, the influence of impact conditions on the system’s reliability is also studied. The feasibility and effectiveness of the proposed analytical method are substantiated by numerical results obtained from Monte-Carlo simulation.
引用
收藏
页码：1837 / 1845
页数：9
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