两阶段疲劳损伤等效方法与概率疲劳失效判据

doi:10.3901/JME.2023.16.107

机械工程学报 ›› 2023, Vol. 59 ›› Issue (16): 107-116.doi: 10.3901/JME.2023.16.107

• 特邀专栏:机械结构强度设计与完整性评估 • 上一篇下一篇

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两阶段疲劳损伤等效方法与概率疲劳失效判据

谢里阳^1,2, 吴宁祥^1,2, 赵丙峰^1,2

1. 东北大学现代设计与分析研究所沈阳 110819;
2. 东北大学航空动力装备振动及控制教育部重点实验室沈阳 110819

收稿日期:2022-11-29 修回日期:2023-05-07 出版日期:2023-08-20 发布日期:2023-11-15
作者简介:谢里阳,男,1962年出生,教授。主要研究方向为结构疲劳断裂及寿命预测、系统可靠性评估理论与方法等。E-mail:lyxie@mail.neu.edu.cn;吴宁祥,男,1978年出生,博士,讲师。主要研究方向为结构系统可靠性及疲劳断裂。E-mail:nxwu@me.neu.edu.cn;赵丙峰,男,1991年出生,博士,副教授。主要研究方向为重大机械装备材料、结构单/多轴疲劳有效应力表征、概率疲劳寿命预测及系统可靠性评估,数字孪生及人工智能等。E-mail:15940488242@163.com
基金资助:
国家科技重大专项资助项目(J2019-IV-0016-0084)。

Two-stage Damage Equivalence Method and Probabilistic Fatigue Failure Criterion

XIE Liyang^1,2, WU Ningxiang^1,2, ZHAO Bingfeng^1,2

1. Institute of Modern Design, Northeastern University, Shenyang 110819;
2. Laboratory of Vibration and Control of Aero-Propulsion System, Northeastern University, Shenyang 110819

Received:2022-11-29 Revised:2023-05-07 Online:2023-08-20 Published:2023-11-15

摘要/Abstract

摘要： 针对长寿命、高可靠零部件的概率疲劳寿命预测，应用三参数威布尔分布描述疲劳寿命概率分布，研究不同水平的应力循环数之间的损伤等效关系，提出两阶段应力循环等效方法，建立疲劳损伤等效/失效概率等效循环数模型。对于小于寿命分布位置参数的应力循环数，根据应力与寿命分布位置参数之间的关系转换不同应力水平下的损伤等效循环数；对于大于寿命分布位置参数的循环数，根据疲劳失效概率等效转换不同循环应力水平下的等效循环次数。应用这样的方法及模型进行变幅应力历程下的疲劳失效概率计算或概率疲劳寿命预测，能够很好地处理寿命随机变量的最小可能值远大于零的工程实际问题，同时也保证了在转换不同水平应力循环数过程中的失效概率等效。

关键词: 概率疲劳寿命, 疲劳失效概率, 等效损伤, 等效循环数, 临界损伤

Abstract: To predict the probabilistic fatigue life of long life, high reliability components, the three parameter Weibull distribution is used to describe the probability distribution of fatigue life. A two-stage stress cycle equivalence method is proposed, fatigue damage equivalent basted and failure probability equivalent based cycle number models are established. For the stress cycles less than the location parameter of the fatigue life under the associated stress level, the equivalent number of stress cycles under different stress levels is converted according to location parameter–fatigue life equation; For the stress cycles greater than the location parameter of life distribution, the number of stress cycles at different cyclic stress levels is converted according to equivalent fatigue failure probability. To calculate fatigue failure probability or predict probabilistic fatigue life under variable amplitude stress history by means of this method and related models, the zero-failure probability stage, i.e., the stage that the stress cycle number is less than the location parameter of the associated fatigue life, can be well managed, meanwhile the equivalent failure probability criterion is applied for equivalent cyclic number calculation at different stress levels.

Key words: probabilistic fatigue life, fatigue failure probability, equivalent damage, equivalent cycle number, critical damage

中图分类号:

TH114

谢里阳, 吴宁祥, 赵丙峰. 两阶段疲劳损伤等效方法与概率疲劳失效判据[J]. 机械工程学报, 2023, 59(16): 107-116.

XIE Liyang, WU Ningxiang, ZHAO Bingfeng. Two-stage Damage Equivalence Method and Probabilistic Fatigue Failure Criterion[J]. Journal of Mechanical Engineering, 2023, 59(16): 107-116.

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两阶段疲劳损伤等效方法与概率疲劳失效判据

Two-stage Damage Equivalence Method and Probabilistic Fatigue Failure Criterion

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