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随机结构在随机激励作用下的结构响应具有随机不确定性,响应的分布函数(CDF)能够充分地体现响应量分布变化规律,只要掌握了响应的CDF,就可以进一步掌握响应的统计信息。基于响应的CDF,对基本变量的分布参数进行灵敏度分析,可以表明基本变量的随机不确定性对输出响应的随机不确定性的影响程度,从而清楚地表明重要随机变量和非重要随机变量,为降低变量维数和优化设计提供依据。针对承受阵风激励的典型喷气运输机(BAH)的机翼,采用近似解析法、Monte Carlo模拟(MCS)法以及本文所建立的分层线抽样(SLS)方法对机翼的翼根弯矩(RBM)进行CDF求解,并进行CDF的灵敏度分析,通过分析得到第二阶和第五阶模态的质量和频率对阵风响应的CDF影响较大的结论。
Stochastic structure under random excitation structural response with random uncertainty, the response distribution function (CDF) can fully reflect the variation of response distribution, as long as the response to the CDF, you can further grasp the statistical information of the response. Based on the response CDF, the sensitivity analysis of the distribution parameters of the basic variables can show the degree of influence of the random uncertainty of the basic variables on the random uncertainty of the output response, so as to clearly indicate that the important random variables and the non-important random variables are Reduce the number of variables and optimize the design basis. Aiming at the wings of a typical jet air transport aircraft (BAH) subjected to gust excitation, the wing root bending moment (RBM) was analyzed by approximate analysis, Monte Carlo simulation (MCS) and the stratified line sampling (SLS) ) Is used to solve the CDF, and the CDF sensitivity analysis is carried out. The results show that the quality and frequency of the second and fifth modes have a significant effect on the CDF of the gust response.