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This paper proves that the triangle method and the uncertain degree weight method for transforming vague sets into fuzzy sets are practical methods,and proves that these methods are the same methods,and proves that these methods are the special cases of the weight mean modified methods.

证明了vague集转化为fuzzy集的三角形法和不确定度加权法都是实用方法,证明了这两种方法是相同的方法,且证明了这两种方法都是加权均值修正法的特殊情况。

In this work,ANSYS Workbench software and S-N curve are used with the mean stress correction method of the Goodman linear model,the Gerber parabola model,the Soderberg linear model and the S-N linear model to analyze the fatigue life of S-shaped bellows under various work conditions,so as to know its fatigue life expectancy for an optimal design if it.

应用ANSYS Workbench(AWE)软件的Fatigue Tool工具箱和S-N曲线,分别用Goodman直线模型、Gerber抛物线模型、Soderberg直线模型和S-N直线模型的平均应力修正法,对S型波纹管进行疲劳寿命分析,得到波纹管在各种工况下的疲劳寿命,从而进行波纹管的优化设计。