机械工程

基于蒙特卡罗模拟方法的疲劳强度概率分布推断

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  • 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
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.

收稿日期: 2014-02-21

  修回日期: 2014-05-20

  网络出版日期: 2014-08-01

基金资助

国防预研项目(30300100)

Fatigue Strength Probability Distribution Inference Based on Monte Carlo Simulation Method

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  • School of Mechanical and Electrical Engineering∥ State Key Laboratory for High Performance Complex Manufacturing,Central South University,Changsha 410083,Hunan,China
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.

Received date: 2014-02-21

  Revised date: 2014-05-20

  Online published: 2014-08-01

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.

本文引用格式

胡贇 刘少军 廖雅诗 丁晟 . 基于蒙特卡罗模拟方法的疲劳强度概率分布推断[J]. 华南理工大学学报(自然科学版), 2014 , 42(9) : 35 -40 . DOI: 10.3969/j.issn.1000-565X.2014.09.007

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.

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