三参数威布尔分布参数估计及在可靠性分析中的应用

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摘要威布尔分布是可靠性中应用最广泛的分布之一。三参数威布尔分布尤其适用于在开始使用时有一时间段内不发生故障的情况。由于该分布的位置参数不等于0，在参数估计时不能采用简单的参数估计方法实现，限制了该分布形式在可靠性分析中的应用。根据三参数威布尔分布的特点提出了一种综合图解法和遗传算法的参数估计方法，应用该方法可以获得更精确的参数估计值。随后应用于某系列数控车床计算机数控系统的故障分析中，验证了本文提出的参数估计方法的可行性。

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	郑锐

关键词 ：三参数威布尔分布, 参数估计, 图解法, 遗传算法, 数控机床

Abstract：Weibull distribution is one of the most widely distributed in reliability analysis. Three-parameter Weibull distribution，whose positional parameter is not equal to 0，whose parameters cannot beestimated by a simple method, limits its application in reliability analysis. Actually, Three-parameter Weibull distribution is particularly suitable for the case thatthe item has no failure in a period of time at the beginning of use. In this paper, a parameter estimation synthesis graphical method and genetic algorithm for three-parameter Weibull is presented according to the characteristics of distribution. Then three-parameter Weibull is applied in failure analysis for a series of CNC lathes.

收稿日期: 2013-09-03 出版日期: 2015-03-15

引用本文:

郑锐. 三参数威布尔分布参数估计及在可靠性分析中的应用[J]. 振动与冲击, 2015, 34(5): 78-81.
Zheng Rui. Parameter Estimation and Application inReliability Analysis of Three-parameter WeibullDistribution. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(5): 78-81.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2015/V34/I5/78

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