华南理工大学学报(自然科学版) ›› 2014, Vol. 42 ›› Issue (9): 35-40.doi: 10.3969/j.issn.1000-565X.2014.09.007

• 机械工程 • 上一篇    下一篇

基于蒙特卡罗模拟方法的疲劳强度概率分布推断

胡贇 刘少军 廖雅诗 丁晟   

  1. 中南大学 机电工程学院∥高性能复杂制造国家重点实验室,湖南 长沙 410083
  • 收稿日期:2014-02-21 修回日期:2014-05-20 出版日期:2014-09-25 发布日期:2014-08-01
  • 通信作者: 胡贇(1988-),男,博士生,主要从事结构疲劳寿命预测与可靠性分析研究. E-mail:hyfatigue@163.com
  • 作者简介:胡贇(1988-),男,博士生,主要从事结构疲劳寿命预测与可靠性分析研究.
  • 基金资助:

    国防预研项目(30300100)

Fatigue Strength Probability Distribution Inference Based on Monte Carlo Simulation Method

Hu Yun Liu Shao- jun Liao Ya- shi Ding Sheng   

  1. School of Mechanical and Electrical Engineering∥ State Key Laboratory for High Performance Complex Manufacturing,Central South University,Changsha 410083,Hunan,China
  • Received:2014-02-21 Revised:2014-05-20 Online:2014-09-25 Published:2014-08-01
  • Contact: 胡贇(1988-),男,博士生,主要从事结构疲劳寿命预测与可靠性分析研究. E-mail:hyfatigue@163.com
  • About author:胡贇(1988-),男,博士生,主要从事结构疲劳寿命预测与可靠性分析研究.
  • Supported by:

    国防预研项目(30300100)

摘要: 在采用应力-强度干涉理论进行可靠性分析时,需要根据材料的现有疲劳实验数据,获得任意指定寿命下的疲劳强度概率分布.文中提出了一种疲劳寿命服从对数正态分布的疲劳强度概率分布数值模拟方法.该方法在有限寿命阶段内,根据两条已知的疲劳特性( P- S- N) 曲线,重构任意存活率下的 P- S- N 曲线,进而运用蒙特卡罗技术推断任意指定寿命下的疲劳强度概率分布.以20Cr2Ni4A 为例进行相关分析,结果表明,P- S- N 曲线重构精度高,疲劳强度概率分布接受正态分布假设,模拟结果符合等同性原理和疲劳强度衰减理论.这说明文中方法是有效的.

关键词: 疲劳强度, 概率分布, 蒙特卡罗方法, 等同性原理, 疲劳强度衰减理论

Abstract:

When a reliability analysis is performed according to the stress- strength interference theory,the fatiguestrength probability distribution needs to be obtained at an arbitrary fatigue life based on the existing fatigue experi-ment data of material.In this paper,a simulation method of fatigue strength probability distribution is proposedunder the condition that the fatigue life follows a lognormal distribution.In this method,a P- S- N curve at an arbi-trary survival probability with a finite life is reconstructed according to two known P- S- N curves,and then thefatigue strength probability distribution at an arbitrary fatigue life is inferred by means of the Monte Carlo simulationmethod.Finally,analyses on 20Cr2Ni4A are performed.It is found that the reconstructed P- S- N curve is highlyprecise,the fatigue strength probability distribution follows normal distribution and the simulation results accordwell with the equality principle and the fatigue strength degradation theory.The above results show that the pro-posed method is effective.

Key words: fatigue strength, probability distribution, Monte Carlo method, equality principle, fatigue strengthdegradation theory