关于几种求解疲劳寿命置信区间方法的比较
Comparison of several methods to solve fatigue life of a confidence interval
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摘要: 在给定置信水平下,对疲劳寿命的置信区间进行估计,是应力—寿命关系曲线设计的重要内容. 文中针对疲劳寿命的置信区间问题介绍了数理统计求解方法、MATLAB软件求解法和双侧置信区间三种常用的求解方法,同时采用应力寿命曲线的直线模型和三参数模型,对一组疲劳试验数据进行了置信区间的求解. 分析和比较它们的计算过程和结果. 结果表明,用回归方程对对数寿命置信区间求解时,区间的估计精度会随样本容量增大和对数疲劳寿命分散而提高;对于中长寿命区的置信区间估计,三参数模型优于直线模型,可以用MATLAB软件代替数理统计方法进行置信区间求解.Abstract: Under the given confidence level, confidence interval estimate of the fatigue life is an important part of the stress-life relational curve design. Aiming at the problem of confidence interval of the fatigue life, this paper introduces three kinds of commonly used solving methods which include the method of mathematical statistics, the MATLAB software solving method and bilateral confidence interval. At the same time, the confidence interval of a group of fatigue test data was solved by using the linear model and three-parameter model of the stress life curve. By analyzing and comparing their calculation processes and results, it's concluded that when solving the logarithmic life confidence interval by the regression equation, the estimation precision of the interval increases with the increase of sample size and the logarithmic fatigue life.For the confidence interval estimate of a middle or long life area, three parameter model is better than the linear model, it's feasible to use MATLAB software solving method instead of the mathematical statistics method to solve the confidence interval.
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