摘要
2000年实施的GJB/Z126-99《振动、冲击环境测量数据归纳方法》提出的统计容差法是振动数据归纳从传统的上限包络法到从统计概念上进行归纳的飞跃。但其理论上不够完善,在给定置信度和一定概率下给出的容差系数存在偏差。本文分析了GJB/Z126-99给出的容差上限系数偏差的原因,并对服从正态分布的随机变量,以子样的均值和标准差为依据,得到在一定置信度,一定概率下随机变量的正确的上限系数公式,用来估计振动环境条件。
GJB/Z 126-99 《The inductive methods for environmental measured data of vibration and shock》 presents a upper tolerance limits method, which is a huge improvement from the traditional envelope limits method to the statistics method, aiming at the induction of the vibration measured data. But,there are bias errors in upper tolerance factor with the specifical confidence coefficient and probability. This paper analyzes the reasons leading to the bias errors,and provides the upper tolerance factor formula with specifical confidence coefficient and probability according to the mean and standard deviations of the samples for normal distribution stochastic parameter to estimate the vibration environment condition.
出处
《航空学报》
EI
CAS
CSCD
北大核心
2007年第1期115-117,共3页
Acta Aeronautica et Astronautica Sinica
关键词
随机振动
统计方法
归纳
容差上限
振动环境条件
random vibration
statistics method
induction
upper tolerance limit
vibration environment condition
