发展了基于两参数Weibull分布的概率疲劳S-N曲线模型及构建方法，用于描述随机滚动接触疲劳应力幅-寿命关系。除考虑数据分散性的统计分布规律外，模型还考虑样本数量相关的寿命置信度预测效应, 引入最小正态寿命的置信下限评价。Weibull分布的尺度参数和形状参数，寿命置信度评估参数，以及概率S-N曲线的指数，全部由试验数据来确定。G20CrNi2Mo轴承钢的滚动接触疲劳试验数据的分析证实所提出方法的可应用性。并且证实该滚动接触疲劳寿命的分布规律，宜采用包括Weibull分布在内的有偏统计模型来描述。

Modeling and construction method of the probabilistic fatigue S-N curves are developed using the two parameter Weibull distribution for describing random rolling contact fatigue stress amplitude-life relations. Except for the statistical distributed regularities of the random relations, a least norm life confidence bound assessment is incorporated into the modeling for considering risk effect related to limited sampling size. The scale and shape parameters of the distribution, the statistical parameter for the confidence assessment, and the exponents of the S-N curves are all determined by the test data set. Applicability of the present method has been well verified by treating the rolling contact fatigue test S-N data of G20CrNi2Mo bearing steel. In addition, a skew statistical model is proved to be suitable for characterizing the statistical distributed regularities of the rolling contact fatigue life data.