期刊论文

Zhang, Zhenhao

英文

International Journal of Approximate Reasoning

0888-613X

2020

126

84-97

10.1016/j.ijar.2020.08.006

This work was jointly supported by the National Key Basic Research Program of China (973 Program) (Grant no. 2015CB057706), the National Natural Science Foundation of China (Grant no. 51108044, 51808054), the Research Project of the Educational Commission of Hunan Province of China (grant no. 19B020), and the Foundation of Equipment Pre-research Area of China (grant no. 61400020304).

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To improve the analysis accuracy of dynamic reliability of a nonlinear system, an equivalent nonlinear system method is presented. In this method, general nonlinear systems are converted to equivalent Duffing nonlinear systems according to the minimum mean square error criterion, whose exact analytical solution of the random steady-state responses can be determined by a FokkerPlanckKolmogorov equation. Then the exact results of stochastic responses are used to analyze structural dynamic reliability. To use the equivalent nonlinear system method...