Reliability of a class of nonlinear systems under switching random excitations

被引：10

作者：

Sun, Jiao-Jiao ^{[1
]}

Zhu, Wei-qiu ^{[1
]}

Jiang, Wen-dong ^{[2
]}

Ma, Fai ^{[3
]}

Huan, Rong-Hua ^{[1
]}

机构：

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

[2] State Grid Zhejiang Elect Power Co, Hangzhou 310000, Peoples R China

[3] Univ Calif Berkeley, Dept Mech Engn, Berkeley, CA 94720 USA

来源：

NONLINEAR DYNAMICS | 2020年 / 99卷 / 03期

关键词：

Quasi-non-integrable Hamiltonian systems; Switching random excitations; Markov jump system; Stochastic averaging; First passage; Reliability; 1ST-PASSAGE FAILURE; WHITE-NOISE; OSCILLATORS; STABILITY;

D O I：

10.1007/s11071-019-05405-8

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Systems subjected to switching random excitations are practically significant because they include many safety-critical systems such as power plants and communication networks. In this paper, the reliability of multi-degree, nonlinear, non-integrable Hamiltonian systems subjected to switching random excitations is investigated. Such a system is formulated as a continuous-discrete hybrid based upon the Markov jump theory. Stochastic averaging is applied to suppress the rapidly varying parameters of the Markov jump process in order to generate a probability-weighted diffusion equation. The associated backward Kolmogorov equation is then set up, from which the approximate reliability function and probability density of first passage time are obtained. The utility and accuracy of this approximate procedure are demonstrated by two examples.

引用

页码：2083 / 2094

页数：12

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