Solid Mechanics and Vehicle Conceptual Design

Compatibility test method in minimal samples situation with two samples

  • XU Yingqiang ,
  • CHEN Xianliang ,
  • CAO Dongbo
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  • School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072, China

Received date: 2017-12-12

  Revised date: 2018-01-24

  Online published: 2018-01-24

Supported by

National Natural Science Foundation of China (51675427)

Abstract

When evaluating the fatigue life and reliability in the aerospace field, the locale test data sample size is usually extremely small (m=1 or 2) due to the cost and time limits. The compatibility test method can be used to expand the sample size. Conventional Wilcoxon rank sum test method and K-S (Kolmogorov-Smirnov) method are applicable for situation of small sample size. Less research has been conducted on the method for compatibility test of minimum sample size, and there is a lack of detailed explanation of the rationality of the method and comparison of actual effects of different methods. The fatigue life of aerospace products usually obeys the normal distribution, so normal distribution is analyzed in this paper. Two points x1,x2 are randomly selected from a normal distribution N(μ2), and the mean μ1 and standard deviation σ1 are calculated to construct the new normal distribution N(μ112). It is found using the Monte Carlo simulation that the probabilities that points placing at ±σ1, ±2σ1 and ±3σ1 ranges of the new normal distribution N(μ1,σ12) place at ±3σ range of the original normal distribution N(μ,σ2) are 99.80%,98.13% and 97.39% respectively. Aiming at the situation that the population follows normal distribution and the sample size is 2, this paper proposes to use the 3σ principle to test the prior information data and thus to expand the sample size. A comparison with other two methods shows that with the proposed method, the error rate is obviously lowered, and with the increase of prior information data, the method performs better.

Cite this article

XU Yingqiang , CHEN Xianliang , CAO Dongbo . Compatibility test method in minimal samples situation with two samples[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018 , 39(5) : 221936 -221936 . DOI: 10.7527/S1000-6893.2018.21936

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