拟合威布尔随机寿命S-N曲线的新算法
New Approach for S-N Curve after Fitting Random Fatigue Life Data to Weibull Distribution
DOI: 10.12677/SA.2017.62024, PDF, HTML, XML,  被引量 下载: 1,870  浏览: 4,058 
作者: 王桂金：原钢铁研究总院合金钢室，北京
关键词: S-N曲线；威布尔分布；斜度和峭度；拟合指数；S-N Curve； Weibull Distribution； Skewness and Kurtosis； Fitting Indicator
摘要: 本文对不同定幅交变应力下的疲劳寿命数据，采取调整位置参数和最大寿命值的方法使其数据内禀斜度/峭度的形状参数与极大似然法拟合的三参数威布尔分布的形状参数一致，进而建立相应的S-N曲线。因为各组试样数据已符合威布尔分布，可以根据尺寸参数随应力的变化计算S-N曲线并计算标准差及预期寿命L10，L63和L90。本文以赵永翔等人的数据为例，说明如何应用这种新算法。
Abstract: This paper presents a new approach to build up S-N curve by first fitting fatigue datasets to three parameter Weibull distribution under the scheme of adjusting location parameter and maximum fatigue life to match the shape parameter of skewness and kurtosis from sample fatigue data with that of fitted Weibull distribution. Thereafter, the dimensional parameter of the Weibull distribution under various cyclic stresses can be used to calculate S-N curve, its expected standard deviation and accumulated failure life rate L10, L63, L90. This new approach has been justified due to available experimental data of Zhao etc.
文章引用：王桂金. 拟合威布尔随机寿命S-N曲线的新算法[J]. 统计学与应用, 2017, 6(2): 210-218. https://doi.org/10.12677/SA.2017.62024

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