Abstract

The problem of calculating the reliability and fatigue life of machine parts by the fatigue failure under random changes in the actual and limit stresses is considered. According to the corrected theory of the linear summation of damage, a transcendental equation has been obtained that relates the number of cycles until failure to the random loading parameters and the ultimate strength. From this equation, the ultimate strength threshold is determined, which corresponds to the destructive number of cycles over the service lifetime. The fatigue reliability equals the probability of exceedance of this value by the ultimate strength. Analytical dependences have been obtained for determination of the probabilistic characteristics of the fatigue life under a simultaneous random change in the normal and tangential stresses.

中文翻译：

---

疲劳失效对机械零件可靠性和疲劳寿命的概率分析

摘要

考虑了在实际应力和极限应力的随机变化下通过疲劳破坏来计算机械零件的可靠性和疲劳寿命的问题。根据线性损伤总和的修正理论，获得了一个超越方程，该方程将直到失效的周期数与随机载荷参数和极限强度相关联。根据该公式确定极限强度阈值，该阈值对应于使用寿命中破坏性的循环次数。疲劳可靠性等于极限强度超过该值的可能性。在法向和切向应力同时随机变化的情况下，已经获得了用于确定疲劳寿命概率特征的分析相关性。