Volume 36 Issue 11
Nov.  2021
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WANG Ruixiang, XU Lingtian, CHEN Xiaoyang, WANG Peng, CHEN Shijin. Reliability evaluation of bearings based on small samples and zero-failure life test data[J]. Journal of Aerospace Power, 2021, 36(11): 2400-2409. doi: 10.13224/j.cnki.jasp.20200522
Citation: WANG Ruixiang, XU Lingtian, CHEN Xiaoyang, WANG Peng, CHEN Shijin. Reliability evaluation of bearings based on small samples and zero-failure life test data[J]. Journal of Aerospace Power, 2021, 36(11): 2400-2409. doi: 10.13224/j.cnki.jasp.20200522

Reliability evaluation of bearings based on small samples and zero-failure life test data

doi: 10.13224/j.cnki.jasp.20200522
  • Received Date: 2020-12-07
  • Publish Date: 2021-11-28
  • A reliability evaluation model of small samples and zero-failure life data was proposed.The Bayes theory was used to construct a sampling function subjecting to the original small samples.The Bootstrap method was used to generate a large of random numbers subjecting to the sampling function as augmented samples.Both of the original and augmented samples were analyzed by the best linear invariant estimation method to obtain the two-parameter estimation value of Weibull distribution for reliability evaluation.The Monte-Carlo method was used to generate random numbers subjecting to the Weibull distribution.These random numbers were evaluated by the model,the match distribution curve method and the existing Bayes theory respectively.The results showed that the parameter estimates obtained by the model were closer to the Weibull two-parameter true value than the existing Bayes theory and the match distribution curve method.Meanwhile,the relative error of the estimated value of the shape parameter and the scale parameter was less than 10%,indicating the feasibility of the model to analyze the small sample of zero-failure data for reliability evaluation.The model was verified with examples in reference,and the results showed that the reliability evaluation obtained by the model was closer to that used in actual engineering practice than the other two methods;moreover the model's two-sided reliability confidence interval length was smaller than the other two methods,effectively improving the accuracy of reliability evaluation of small samples and zero-failure data .

     

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