本文關鍵詞：基于無失效數(shù)據(jù)的軸承可靠性研究　出處：《東北大學》2014年碩士論文　論文類型：學位論文

  更多相關文章： 軸承 無失效數(shù)據(jù) 威布爾分布 可靠性

【摘要】：隨著軸承生產(chǎn)制造水平的發(fā)展,軸承壽命有了很大的提高。在軸承可靠性試驗中,少失效、單失效乃至無失效試驗結果經(jīng)常出現(xiàn)。在這種情況下,由于失效信息的缺乏,傳統(tǒng)的評價方法很難做出準確的可靠性評估,因此研究新的評估方法顯得十分重要。 長期積累下來的軸承壽命數(shù)據(jù)和相關理論可知軸承壽命是服從威布爾分布模型的,本文以此為前提,應用置信限法,貝葉斯方法,參數(shù)估計法等,對無失效數(shù)據(jù)情形下軸承的可靠性分析方法進行了深入的理論和仿真研究。 首先,闡述了可靠性評價的目的及意義及軸承可靠性分析理論基礎,并介紹課題來源,討論軸承壽命分布,即威布爾分布相關參數(shù)和可靠性指標,介紹軸承的分組和單組定時截尾無失效數(shù)據(jù)類型,分析置信限法的原理及適用范圍。 其次,論述用于可靠性評估的配分布曲線法理論和步驟,該方法應用的前提是先估計失效概率,本文提出四種估計失效概率的方法,通過各方法處理結果的比較,討論四種方法的估計精度。 再次,選用擬似然函數(shù)思想、修正的極大似然方法以及相關系數(shù)優(yōu)化法分別處理軸承壽命服從兩參數(shù)及三參數(shù)威布爾分布時的無失效數(shù)據(jù),研究無失效數(shù)據(jù)問題的參數(shù)估計方法。在理論研究的同時,結合仿真算例進行驗證。 再后,結合計算機仿真模擬試驗,介紹了抽樣思想方法和大量模擬數(shù)據(jù)統(tǒng)計規(guī)律法的原理和步驟,結合該方法的適用范圍,即單組無失效數(shù)據(jù)情形下,給出了評估軸承可靠性的新方法。依據(jù)軸承研究所試驗數(shù)據(jù)的實例研究,討論了三參數(shù)威布爾分布在軸承壽命分析中的應用。指出引進最小安全壽命含義可以更科學、準確地評估軸承壽命等可靠性指標,論證了軸承三參數(shù)威布爾壽命分布假設要優(yōu)于兩參數(shù)威布爾壽命分布假設。 最后,總結全文研究的內(nèi)容及結果,并提出了未來的研究方向與不足之處。
[Abstract]:With the development of bearing manufacturing level, bearing life has been greatly improved. Less bearing failure at the reliability test, and no single failure, failure test results often appear. In this case, due to the lack of failure information, the traditional evaluation method is very difficult to make accurate reliability evaluation, so it is very important to study the new method of assessment.
Bearing life long accumulated data and related theories of the bearing life is to obey the Weibull distribution model, in this paper, the application of confidence limit method, Bayesian method, parameter estimation method, the reliability of the situation of zero failure data bearing analysis method were used to carry out in-depth theoretical and simulation studies.
First of all, expounds the purpose and significance of the reliability evaluation and bearing analysis theory, and introduces the topic source, discuss the bearing life distribution, the parameters of Weibull distribution and reliability index, grouping is introduced and single bearing group censored failure data types, analysis of the confidence limit method principle and applicable scope.
Secondly, the theory and procedure of the distribution distribution curve method for reliability evaluation are discussed. The premise of this method is to estimate the failure probability first. In this paper, four methods to estimate the failure probability are proposed, and the accuracy of the four methods is discussed by comparing the results of each method.
Again, the quasi likelihood function, maximum likelihood method and correlation coefficient method with zero failure data bearing life obey two parameter and three parameter Weibull distribution, respectively, of parameter failure data estimation method. In the theoretical research at the same time, combined with the simulation example was verified.
Then, combining the computer simulation experiment, this paper introduces the principle and procedure of sampling method and simulation data statistics method, combined with the scope of application of the method, namely the single situation of zero failure data, a new method to assess the reliability of bearings is given. On the basis of test case study data bearing Research Institute, discusses the application of the three parameter Weibull distribution in the bearing life analysis. It points out that the introduction of the minimum safe life meaning can be more scientific, evaluation of bearing life reliability index accurately, the argument of Zhou Chengsan parameters Weibull distribution is assumed to be better than the assumption of two parameters Weibull distribution.
Finally, the contents and results of the full text research are summarized, and the future research direction and inadequacies are put forward.

【學位授予單位】：東北大學
【學位級別】：碩士
【學位授予年份】：2014
【分類號】：TH133.3;TB114.3

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