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

作　　者：黄土地 彭兆春 柏松 黄洪钟 蔡吴斌[1,2] HUANG Tudi;PENG Zhaochun;BAI Song;HUANG Hongzhong;CAI Wubin(School of Mechanical and Electrical Engineering,University of Electronic Science and Technology of China,Chengdu 611731;Center for System Reliability and Safety,University of Electronic Science and Technology of China,Chengdu 611731)

机构地区：[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

出　　处：《机械工程学报》2023年第16期117-127,共11页Journal of Mechanical Engineering

基　　金：国家自然科学基金资助项目(51975106)。

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。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.

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 

分 类 号：TH114[机械工程—机械设计及理论]