1. 中国飞行试验研究院发动机所
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雷晓波, 文敏, 雷蒂远, 等. 利用Pearson-Ⅲ分布预测某飞机法向过载极值[J]. 机械强度, 2018,40(1):106-110.
LEI XiaoBo, WEN Min, LEI DiYuan, et al. PREDICTION OF AIRCRAFT NORMAL OVERLOAD EXTREME VALUE BASED ON PEARSON-Ⅲ DISTRIBUTION[J]. 2018,40(1):106-110.
雷晓波, 文敏, 雷蒂远, 等. 利用Pearson-Ⅲ分布预测某飞机法向过载极值[J]. 机械强度, 2018,40(1):106-110. DOI: 10.16579/j.issn.1001.9669.2018.01.019.
LEI XiaoBo, WEN Min, LEI DiYuan, et al. PREDICTION OF AIRCRAFT NORMAL OVERLOAD EXTREME VALUE BASED ON PEARSON-Ⅲ DISTRIBUTION[J]. 2018,40(1):106-110. DOI: 10.16579/j.issn.1001.9669.2018.01.019.
基于Pearson-Ⅲ分布对工程极值数据具有很强的拟合能力,利用该分布对某飞机法向过载极值样本进行了分析研究。推导建立了不同偏态系数C,s,下的离均系数Φ,p,计算方法,消除了因查表插值造成的参数估算误差;考虑到常用的适线法在Pearson-Ⅲ分布曲线拟合时"最优"拟合无统一的定量评判标准,根据试飞数据的模糊性提出利用最大隶属度原则来评判曲线拟合优劣,并推导建立了隶属度函数。分析计算表明:以平均相对误差、最大误差和隶属度为衡量标准,认为该飞机法向过载极值符合Pearson-Ⅲ分布是科学合理的,也验证了相比于适线法,隶属度函数作为分布参数优化目标函数更具优越性。
Based on Pearson-Ⅲ distribution( P-Ⅲ) representing much capacity for fitting extreme value data,research on Nzextreme values were carried on. Calculation method on the deviation coefficients Φ,p, of skew coefficients Cswas deduced and established,which eliminated look-up and interpolation errors. In consideration that there was not uniform quantitative judge standard on optional curving fitting when fitting real data by P-Ⅲ distribution on the curve-fitting method,Using the maximum membership principle judged curving fitting level according to fuzziness of flight data,and membership function was deduced in detail. Finally through calculation and analysis the conclusions were obtained: it’s scientific and rational that Nzextreme value was conformed with P-Ⅲ distribution from the aspects of mean relative error,maximum error and degree of membership between fitted values and real values,and that membership function seen as optimized objective function was more advantageous than curve-fitting method.
飞机法向过载极值预测Pearson-Ⅲ分布隶属度离均系数
Normal overloadPredicting extreme valuePearson-Ⅲ distributionDegree of membershipDeviation coefficient
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