随机强度退化过程  

Stochastic Process of Strength Degradation

作　　者：吕文阁[1] 谢里阳[2] 徐灏[2] 

机构地区：[1]广东工业大学机电工程学院,广东广州510090 [2]东北大学机械工程及自动化学院,辽宁沈阳110006

出　　处：《广东工业大学学报》2001年第2期9-14,共6页Journal of Guangdong University of Technology

基　　金：广东工业大学青年基金资助项目!( 992 0 4 3)

摘　　要：在研究疲劳过程中材料强度退化规律的基础上 ,建立了一个强度退化模型 .对其进行随机化处理 ,得到控制强度退化过程的随机微分方程 .在一定假设条件下 ,获得了剩余强度概率密度函数的封闭解 ,并推导出疲劳寿命的反高斯分布形式 .给出一种考虑损伤状态对随机涨落影响的近似处理方法 .与试验数据的比较结果表明 。Based on the study of strength degradation of material in the fatigue process,a strength degradation model is proposed.A stochastic differential equation,which controls strength degradation,is obtained from the model randomized by Markov process.By using the theory of stochastic,the distributions of residual strength at any given lifetime and lifetime of any given residual strength are attained.Under a few suitable hypotheses,inverse Gaussian distribution of fatigue life is derived,and verified by means of experimental data.The result shows that the model and the method are reasonable.

关 键 词：强度退化 剩余强度 随机微分方程 反高斯分布 

分 类 号：O346.2[理学—固体力学]