基于最弱链模型的TC11钛合金轮盘疲劳分散性研究
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作者单位:

1.南京航空航天大学航空航天结构力学及控制全国重点实验室,南京 210016;2.南京航空航天大学能源与 动力学院,南京 210016;3.中国航发沈阳发动机研究所,沈阳 110015;4.中国航发湖南动力机械研究所, 株洲 412002;5.中国民用航空适航审定中心,北京 100102

作者简介:

通讯作者:

胡绪腾,男,副教授,硕士生导师,E-mail:xthu@nuaa.edu.cn。

中图分类号:

V231.95

基金项目:

国家重大科技专项项目(J2019-IV-0008-0076)。


Study on Fatigue Scatter of TC11 Titanium Alloy Disk Based on the Weakest Link Model
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Affiliation:

1.State Key Laboratory of Mechanics and Control for Aerospace Structures, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, China;2.College of Energy and Power Engineering, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, China;3.AECC Shenyang Engine Research Institute, Shenyang 110015, China;4.Hunan Aviation Powerplant Research Institute, Aero Engine Corporation of China, Zhuzhou 412002,China;5.Airworthiness Certification Center, Civil Aviation Administration of China, Beijing 100102, China

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    摘要:

    基于最弱链理论建立了综合考虑材料疲劳分散性和尺寸效应的结构概率疲劳寿命分析方法,材料光滑疲劳寿命分布分别考虑了对数正态分布和威布尔分布。采用该方法基于TC11钛合金光滑疲劳寿命分布对TC11盘心模拟件和轮盘盘心部位的疲劳寿命及寿命散度系数进行了预测和分析。结果表明:基于两种概率分布的最弱链模型均可较准确地预测TC11模拟件的中值疲劳寿命,预测结果基本在试验结果的2倍分散带内;基于对数正态分布的最弱链模型对模拟件疲劳寿命散度的预测结果与试验统计结果较为接近,优于基于威布尔分布模型的预测结果;对于轮盘盘心部位,两种概率分布模型的寿命预测结果在失效概率较高时基本接近,失效概率较低时基于对数正态分布的预测结果明显大于基于威布尔分布的预测结果;基于对数正态分布的最弱链模型对盘心部位疲劳寿命散度的预测结果明显小于光滑试样和模拟件的散度系数,较基于威布尔分布的模型能够更好地分析和预测尺寸效应对结构疲劳分散性的影响。

    Abstract:

    Considering both material fatigue scatter and size effects, a probabilistic fatigue life analysis method for structures is developed based on the weakest link theory. The fatigue life distribution of the smooth specimens is modeled using both log-normal and Weibull distributions. This method is applied to predict and analyze the fatigue life and fatigue life scatter coefficient of TC11 titanium alloy simulated specimens and disk hub based on the fatigue life distribution of the TC11 smooth specimens. The results show that both models based on the weakest link theory accurately predict the median fatigue life of TC11 specimens, with predictions falling within twice the scatter range of experimental results. The log-normal model’s prediction of fatigue life scatter is closer to experimental data than that of the Weibull model. For the disk hub region, the life predictions of both models are similar at higher failure probabilities, and the predictions by the log-normal model are significantly larger than those by the Weibull distribution model when the failure probabilities are low. Furhter, the predictions on the fatigue life scatter of this region by the weakest link model based on the lognormal distribution are significantly smaller than the scatter coefficients of the smooth specimens and the simulated ones. The proposed log-noarml model can better analyze and predict the influence of size effects on structural fatigue scatter than the Weibull distribution model.

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胡浩楠,王彤,胡绪腾,郭秩维,余嘉伟,杨思远,程昊,冯建文.基于最弱链模型的TC11钛合金轮盘疲劳分散性研究[J].南京航空航天大学学报,2025,57(1):80-91

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  • 收稿日期:2024-10-13
  • 最后修改日期:2024-12-20
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  • 在线发布日期: 2025-03-10
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