概率双线性累积损伤模型与机械结构时变可靠性分析

doi:10.3901/JME.2023.16.117

机械工程学报 ›› 2023, Vol. 59 ›› Issue (16): 117-127.doi: 10.3901/JME.2023.16.117

• 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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概率双线性累积损伤模型与机械结构时变可靠性分析

黄土地^1,2, 彭兆春^1,2, 柏松^1,2, 黄洪钟^1,2, 蔡吴斌^1,2

1. 电子科技大学机械与电气工程学院成都 611731;
2. 电子科技大学系统可靠性与安全性研究中心成都 611731

收稿日期:2022-11-08 修回日期:2023-03-05 出版日期:2023-08-20 发布日期:2023-11-15
通讯作者: 黄洪钟(通信作者),男,1963年出生,博士,教授,博士研究生导师。主要研究方向为可靠性工程、故障诊断与寿命预测、智能优化设计。E-mail:hzhuang@uestc.edu.cn
作者简介:黄土地,男,1995年出生,博士研究生。主要研究方向为系统可靠性和维修性建模、不确定信息处理、寿命预测。E-mail:huangtudi@std.uestc.edu.cn
基金资助:
国家自然科学基金资助项目(51975106)。

Probabilistic Double Linear Damage Accumulation Model and Time-dependent Reliability Analysis of Mechanical Structure

HUANG Tudi^1,2, PENG Zhaochun^1,2, BAI Song^1,2, HUANG Hongzhong^1,2, CAI Wubin^1,2

1. School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu 611731;
2. Center for System Reliability and Safety, University of Electronic Science and Technology of China, Chengdu 611731

Received:2022-11-08 Revised:2023-03-05 Online:2023-08-20 Published:2023-11-15

摘要/Abstract

摘要： 疲劳断裂是机械结构最常见的失效模式，是影响机械结构寿命和可靠性的关键因素，研究机械结构的疲劳寿命及其可靠性具有重要意义。然而，当前的寿命预测方法和可靠性分析手段在处理疲劳失效过程中的载荷交互作用等复杂问题时存在建模复杂、模型参数难以确定等缺陷。在此背景下，基于疲劳累积损伤理论，建立了概率双线性累积损伤模型，开展了机械结构时变可靠性分析。首先，针对传统静态可靠性分析方法无法体现载荷历程的时变特征的缺点，基于双线性疲劳累积损伤理论，在对数正态分布假设下构建了概率累积损伤模型。随后，进行当量化处理，基于应力-强度干涉理论，将其拓展为动态的“累积损伤-临界损伤”时变可靠性模型，在疲劳全寿命周期内实现了可靠度预测。最后，通过算例分别验证了在恒幅和变幅加载条件下，提出的可靠度分析方法的准确性和有效性。

关键词: 累积损伤, 载荷交互作用, 应力-强度干涉, 可靠性分析, 时变可靠性

Abstract: As the most common failure mode, fatigue fracture is a key factor affecting the usage life of mechanical structures and its system reliability. It is thus important to study the fatigue life and reliability of mechanical structures. However, the current life prediction and reliability analysis methods have not yet fully dealt with the fatigue failure process with complexity and randomness. Against this background, based on the fatigue damage accumulation theory, this study established a probabilistic double linear damage accumulation model, and carried out a time-varying reliability analysis. First, in view of the shortcoming that the traditional static reliability analysis method cannot reflect the time-varying characteristics of the load history, a probabilistic damage accumulation model with lognormal distribution is built based on the double linear fatigue damage accumulation theory. Then, based on the stress-strength interference theory, the static stress-strength interference model is extended to the dynamic time-varying reliability model of “damage accumulation-critical damage” by using equivalent treatment, and the reliability prediction is realized in the whole fatigue life cycle. Finally, the accuracy and effectiveness of the reliability analysis method proposed in this study is verified by numerical examples under constant amplitude and variable amplitude loading conditions respectively.

Key words: damage accumulation, load interaction effect, stress-strength interference, reliability analysis, time-varying reliability

中图分类号:

TH114

黄土地, 彭兆春, 柏松, 黄洪钟, 蔡吴斌. 概率双线性累积损伤模型与机械结构时变可靠性分析[J]. 机械工程学报, 2023, 59(16): 117-127.

HUANG Tudi, PENG Zhaochun, BAI Song, HUANG Hongzhong, CAI Wubin. Probabilistic Double Linear Damage Accumulation Model and Time-dependent Reliability Analysis of Mechanical Structure[J]. Journal of Mechanical Engineering, 2023, 59(16): 117-127.

参考文献

[1] CARTER T J. Common failures in gas turbine blades[J]. Engineering Failure Analysis, 2005, 12(2):237-247.
[2] BAI S, LI Y F, HUANG H Z, et al. A probabilistic combined high and low cycle fatigue life prediction framework for the turbine shaft with random geometric parameters[J]. International Journal of Fatigue, 2022, 165:107218.
[3] LIU X, WANG R Q, HU D Y, et al. Reliability-based design optimization approach for compressor disc with multiple correlated failure modes[J]. Aerospace Science and Technology, 2021, 110:106493.
[4] YU A, HUANG H Z, LI Y F, et al. Fatigue life prediction of rolling bearings based on modified SWT mean stress correction[J]. Chinese Journal of Mechanical Engineering, 2021, 34:110.
[5] LI H, HUANG H Z, LI Y F, et al. Physics of failure-based reliability prediction of turbine blades using multi-source information fusion[J]. Applied Soft Computing, 2018, 72:624-635.
[6] INCE A, GLINKA G. A modification of Morrow and Smith-Watson-Topper mean stress correction models[J]. Fatigue & Fracture of Engineering Materials & Structures, 2011, 34:854-867.
[7] SUN Q, DUI H N, FAN X L. A statistically consistent fatigue damage model based on Miner's rule[J]. International Journal of Fatigue, 2014, 69:16-21.
[8] 姚卫星. 机械结构疲劳寿命分析[M]. 北京:国防工业出版社, 2003. YAO Weixing. Fatigue life estimation of structure[M]. Beijing:National Defense Industry Press, 2003.
[9] 房辰泽,冷真,郭乃胜,等. 考虑加载次序影响的沥青非线性疲劳损伤累积研究[J/OL]. 工程力学, 2022[2022-10-25].https://kns.cnki.net/kcms2/article/abstr act?v=3uoqIhG8C45S0n9fL2suRadTyEVl2pW9UrhTDC dPD65C3OHJnlJee3TUqVxSmeiNVIJIAxUgyteoOyjN4z V8MUvWvgkmiFI5&uniplatform=NZKPT. FANG Chenze, LENG Zhen, GUO Naisheng, et al. Investigating nonlinear fatigue damage accumulation of asphalt binders considering loading sequence effect[J/OL]. Engineering Mechanics, 2022[2022-10-25]. https://kns. cnki.net/kcms2/article/abstract?v=3uoqIhG8C45S0n9fL 2suRadTyEVl2pW9UrhTDCdPD65C3OHJnlJee3TUqVx SmeiNVIJIAxUgyteoOyjN4zV8MUvWvgkmiFI5&unipla tform=NZKPT.
[10] AERAN A, ACOSTA R, SIRIWARDANE S C, et al. A nonlinear fatigue damage model comparison with experimental damage evolution of S355(SAE 1020) structural steel and application to offshore jacket structures[J]. International Journal of Fatigue, 2020, 135:105568.
[11] YU A, HUANG H Z, LI Y F, et al. A modified nonlinear fatigue damage accumulation model for life prediction of rolling bearing under variable loading conditions[J]. Fatigue & Fracture of Engineering Materials & Structures, 2022, 45(3):852-864.
[12] ZHAO L H, CAI H C, WANG T, et al. Durability assessment of automotive structures under random variable amplitude loading[J]. Advances in Mechanical Engineering, 2018, 10(4):1-8.
[13] DIAS J P, EKWARO-OSIRE S, JR A C, et al. Parametric probabilistic approach for cumulative fatigue damage using double linear damage rule considering limited data[J]. International Journal of Fatigue, 2019, 127:246-258.
[14] SHIMOKAWA T, TANAKA S. A statistical consideration of Miner's rule[J]. International Journal of Fatigue, 1980, 2(4):165-170.
[15] LIAO M, XU X, YANG Q X. Cumulative fatigue damage dynamic interference statistical model[J]. International Journal of Fatigue, 1995, 17(8):559-566.
[16] SHEN H, LIN J, MU E. Probabilistic model on stochastic fatigue damage[J]. International Journal of Fatigue, 2000, 22(7):569-572.
[17] RATHOD V, YADAV O P, RATHORE A, et al. Probabilistic modeling of fatigue damage accumulation for reliability prediction[J]. International Journal of Quality, Statistics, and Reliability, 2011:718901.
[18] PINTO J M A, PUJOL J C F, JR C A C. Probabilistic cumulative damage model to estimate fatigue life[J]. Fatigue & Fracture of Engineering Materials & Structures, 2014, 37(1):85-94.
[19] WIRSCHING P H. Fatigue reliability for offshore structures[J]. Journal of Structural Engineering, 1984, 110(10):2340-2356.
[20] MARTINDALE S G, WIRSCHING P H. Reliability-based progressive fatigue collapse[J]. Journal of Structural Engineering, 1983, 109(8):1792-1811.
[21] NI K, ZHANG S. Fatigue reliability analysis under two-stage loading[J]. Reliability Engineering & System Safety, 2000, 68(2):153-158.
[22] RATHOD V, YADAV O P, RATHORE A, et al. Reliability-based design optimization considering probabilistic degradation behavior[J]. Quality and Reliability Engineering International, 2012, 28(8):911-923.
[23] XIE L. Equivalent life distribution and fatigue failure probability prediction[J]. International Journal of Pressure Vessels and Piping, 1999, 76(4):267-273.
[24] LANGER B F. Fatigue failure from stress cycles of varying amplitude[J]. Journal of Applied Mechanics, 1937, 59:A160-A162.
[25] MINER M A. Cumulative damage in fatigue[J]. Journal of Applied Mechanics, 1945, 12(3):159-164.
[26] GROVER H J. An observation concerning the cycle ratio in cumulative damage[C]//Symposium on Fatigue of Aircraft Structures, ASTM STP 274, American Society for Testing and Materials, Philadelphia, PA, 1960:120-124.
[27] MANSON S S, FRECHE J C, ENSIGN C R. Application of a double linear damage rule to cumulative fatigue[C]//Fatigue Crack Propagation, ASTM STP 415, American Society for Testing and Materials, Philadelphia, PA, USA, 1967:384-412.
[28] MANSON S S, HALFORD G R. Practical implementation of the double linear damage rule and damage curve approach for treating cumulative fatigue damage[J]. International Journal of Fracture, 1981, 17(2):169-192.
[29] MANSON S S, HALFORD G R. Re-examination of cumulative fatigue damage analysis-An engineering perspective[J]. Engineering Fracture Mechanics, 1986, 25:539-571.
[30] 吕海波. 机械结构疲劳可靠性分析方法研究[D]. 南京:南京航空航天大学, 2000. LÜ Haibo. Research on structural fatigue reliability analysis method[D]. Nanjing:Nanjing University of Aeronautics and Astronautics, 2000.
[31] TANAKA S, ICHIKAWA M, AKITA S. Statistical aspects of the fatigue life of nickel-silver wire under two-level loading[J]. International Journal of Fatigue, 1980, 2(4):159-163.
[32] TANAKA S, ICHIKAWA M, AKITA S. A probabilistic investigation of fatigue life and cumulative cycle ratio[J]. Engineering Fracture Mechanics, 1984, 20(3):501-513.
[33] YAN J H, ZHENG X, ZHAO K. Prediction of fatigue life and its probability distribution of notched friction welded joints under variable-amplitude loading[J]. International Journal of Fatigue, 2000, 22(6):481-494.
[34] 李臻,郑修麟. 经锤击后的16Mn钢对焊件的疲劳寿命估算[J]. 焊接学报, 1997, 18(3):151-158. LI Zhen, ZHENG Xiulin. Fatigue life estimation of hammered 16Mn steel butt weldments[J]. Journal of Welding, 1997, 18(3):151-158.

概率双线性累积损伤模型与机械结构时变可靠性分析

Probabilistic Double Linear Damage Accumulation Model and Time-dependent Reliability Analysis of Mechanical Structure

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