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

被引：4

作者：

Liu, Li ^{[1
,2
]}

Xu, Wei ^{[1
]}

Yang, GuiDong ^{[3
]}

Huang, DongMei ^{[3
]}

机构：

[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China

[2] Ningxia Univ, Sch Math & Stat, Yinchuan 750021, Ningxia, Peoples R China

[3] Xidian Univ, Sch Math & Stat, Xian 710071, Peoples R China

来源：

SCIENCE CHINA-TECHNOLOGICAL SCIENCES | 2020年 / 63卷 / 09期

基金：

中国国家自然科学基金;

关键词：

vibro-impact system; first-passage failure; stochastic averaging method; stochastic optimal control; 1ST-PASSAGE FAILURE; RESPONSE ANALYSIS; DUFFING-VAN; PROBABILISTIC RESPONSE; STOCHASTIC RESPONSES; VIBROIMPACT SYSTEM; OSCILLATOR; TIME;

D O I：

10.1007/s11431-020-1626-5

中图分类号：

T [工业技术];

学科分类号：

08 ;

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 Ito 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

页码：1837 / 1845

页数：9

共 50 条

[1] Reliability and control of strongly nonlinear vibro-impact system under external and parametric Gaussian noises
Li Liu
Wei Xu
GuiDong Yang
DongMei Huang
[J]. Science China Technological Sciences, 2020, 63 : 1837 - 1845
[2] Reliability and control of strongly nonlinear vibro-impact system under external and parametric Gaussian noises
LIU Li
XU Wei
YANG GuiDong
HUANG DongMei
[J]. Science China Technological Sciences, 2020, (09) : 1837 - 1845
[3] Reliability and control of strongly nonlinear vibro-impact system under external and parametric Gaussian noises
LIU Li
XU Wei
YANG GuiDong
HUANG DongMei
[J]. Science China(Technological Sciences)., 2020, 63 (09) - 1845
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[10] NONLINEAR DYNAMIC CHARACTERISTICS OF A VIBRO-IMPACT SYSTEM UNDER HARMONIC EXCITATION
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