CAJ | 학술논문

针对传统正态容差上限方法在确定平台振动环境条件时，不适合处理小样本实测数据统计归纳的问题，提出了利用Bootstrap法对测量样本重采样，进而统计归纳振动环境条件的计算方法。首先利用Bootstrap法对来自正态分布的试验数据进行容差上限估计，通过与真值的对比分析，验证各种自助置信区间估计方法的适用性，而后提出使用纠偏百分位法和Bootstrap-t法对小样本振动测量数据进行归纳。最后，分别对某型飞机实测数据进行了统计归纳，并与传统容差上限估计方法进行了对比分析。
침대전통정태용차상한방법재학정평태진동배경조건시，불괄합처리소양본실측수거통계귀납적문제，제출료이용Bootstrap법대측량양본중채양，진이통계귀납진동배경조건적계산방법。수선이용Bootstrap법대래자정태분포적시험수거진행용차상한고계，통과여진치적대비분석，험증각충자조치신구간고계방법적괄용성，이후제출사용규편백분위법화Bootstrap-t법대소양본진동측량수거진행귀납。최후，분별대모형비궤실측수거진행료통계귀납，병여전통용차상한고계방법진행료대비분석。
Traditional normal upper tolerance limit method is not suitable for statistical reduction of measured small sample data in determination of vibration environmental condition of platform. A calculation method to statistically reduce vibration environmental condition by using Bootstrap method resampling on measured specimen. Upper tolerance limit of test data with normal distribution was estimated using Bootstrap method. The applicability of confidence interval estimation methods was verified through comparison with true values. Bias-corrected bootstrap method and bootstrap-t method were put forward for statistical reduction of measured small sample data. The upper tolerance limits of vibration were estimated and compared by the above method and the traditional computation methods using flight measurements of some aircraft.