多参数载荷组合的概率分布研究

本文提出了航空发动机多参数载荷谱编制的概率分布方法。首先根据发动机构件受力特点选取基准参数,然后根据多参数载荷时间历程统计出各参数之间的双参数表,利用双参数表对载荷参数进行相关性检验,获得各参数之间的相关关系以及相关参数的相关区间,进而得到拟参数,再根据实测参数载荷历程统计出拟双参数表,并求出参数的边缘概率分布和条件概率分布,最后根据概率理论求解任意参数组合下发生的联合概率。利用该方法编制了某战斗机发动机的多参数载荷谱,给出了3个方向的过载与发动机转速组合的发生概率。 

A Study of Probability Distribution of Multiparameter Load Spectrum Combination

A method of multiparameter load spectrum formulation for aeroengine is provides.Firstly,according to the loading condition of the engine component,a parameter is selected as the norm.Secondly,the biparameter tables from the initial multiparameter load-time histories are made.Thirdly,by performing a statistical analysis of biparameter table data,the dependency relationships and interval spaces among the parameters can be obtained,and the pseudo-parameters are determined.Fourthly,the pseudo-biparameter tables are deduced from the initial multiparameter load-time histories,and the marginal and conditional probability distributions of the concerned parameters can then be estimated.Finally,based on probability theory the joint probabilities of any parameter combinations are calculated.Using this method,the paper deals with the multiparameter load spectrum of a fighter engine,and provides the joint probabilities of the combination between three directional overload coefficients and the engine rotational speed.