用于威布尔参数估计的高阶统计量
Higher Moment Statistics for Fitting Random Fatigue Life Data to Weibull Distribution Parameters
摘要:
在材料及机械可靠性工程中，威布尔分布是常用的数学工具。然而，不同学者采用的算法通常给出不同的结果。本作者发展一种新算法，通过调整位置参数和名义最大寿命数据(99%)使得三参数威布尔形状参数和疲劳数据内禀高阶统计量斜度/峭度的形状参数κ一致而得到较好的拟合。本文以McCool的高温轴承钢为例，说明在轴承钢寿命分布的形状参数基本相同情况下材料的额定寿命L10如何受到冶炼工艺的影响。
Abstract:
This paper presents a new approach to fitting fatigue datasets to three-parameter Weibull distribution by adjusting location parameter to and maximum accumulated fatigue life rate 99% in order to match the intrinsic higher moment statistics such as skewness and kurtosis from sample fatigue data directly. Thereafter, the parameters κ and λ of the Weibull distribution from various manufacture technology can be well estimated. The expected standard deviation σ, mean μ and accumulated failure life L10 can be calculated and compared as well. This new approach has been justified due to available experimental data of McCool.
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