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The CDF and its sensitivity analysis of stochastic structure with stochastic excitation by advanced stratified line sampling

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Science China(Physics,Mechanics & Astronomy) 2013年第8期56卷 1559-1567页

作者： SONG ShuFang LU ZhenZhou ZHANG WeiWeiNational Key Laboratory of Aerodynamic Design and Research Northwestern Polytechnical University YE ZhengYin School of Aeronautics Northwestern Polytechnical University National Key Laboratory of Aerodynamic Design and Research Northwestern Polytechnical University

For the stochastic structure with stochastic excitation, an advanced stratified line sampling (SLS) method is presented to obtain the cumulative distribution function (CDF) of the structural response and its sensitivity. The advanced stratified line sampling method introduces a set of middle failure subsets firstly. And for each subset, the conventional line sampling can be used to obtain the corresponding value of the response's CDF. At the same time, the sensitivity estimations of each failure subset can also be computed by modifying the important direction and corresponding reliability coefficients. The properties of CDF sensitivity are proved while the performance function is linear with normal random variables. After two simple examples are used to demonstrate the properties of CDF sensitivity and the feasibility of the presented method, the method employed to analyze the CDF and corresponding sensitivity of root bending moment (RBM) responses for the stochastic BAH is wing with gust excitation to a square-edged gust and to a Dryden gust. The results show that the parameters of the second and the fifth order modals exert more influence on the CDF of response than the other ones, and the presented SLS method can more significantly reduce the computational cost compared with Monte Carlo simulation (MCS).

关键词： stochastic excitation line sampling cumulative distribution function (CDF) sensitivity analysis root bending moment (RBM) gust response analysis

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