一种考虑结构强度退化的可靠性分析方法  

A Reliability Analysis Method Considering Structural Strength Degradation

作　　者：杨正茂[1] 张艳娟[2] 李德才[2] 孟文俊[3] 

机构地区：[1]北京理工大学机械与车辆学院,北京100084 [2]北京交通大学机械与电子控制工程学院,北京100044 [3]太原科技大学机械工程学院,太原030024

出　　处：《载人航天》2017年第3期384-390,共7页Manned Spaceflight

基　　金：国家自然基金(51375324;51575370);教育部创新团队发展计划(IRT13046)

摘　　要：针对结构强度退化引起的检修问题所涉及到的时变结构可靠度的计算问题,将结构体系的不确定参数及其初始强度描述为随机变量,用Gamma过程描述结构强度退化过程。在Pearson频率曲线的四阶矩方法的基础上,解决了随机参数服从任意分布的可靠度计算问题。推导出随机变量均值和方差的可靠性灵敏度的计算公式。以导弹中典型的隔框结构为例对所提方法进行验证并与Monte Carlo模拟的计算结果进行对比,结果表明该方法可有效解决结构体系强度退化时的可靠性灵敏度问题。The inspection and repair of deteriorating structures are scheduled according to the assessments of the time-varying structural reliability. The uncertain parameters of the structural systems and their initial strength are described as random variables,and the evolution process of the strength degradation is regarded as the Gamma process. The fourth moment method based on frequency curve of Pearson was used to solve the problem of reliability calculation with random parameters of arbitrary distributions. Formulas for calculating the reliability sensitivity with respect to the mean and the variance of the random variables were derived. The reliability analysis of the bulkhead was taken as an example to verify the proposed method. The results showed that the method could effectively solve the problem of the reliability sensitivity of structural systems to strength degradation.

关 键 词：灵敏度分析 可靠性分析 强度退化 矩方法 Pearson频率曲线 

分 类 号：TH123.3[机械工程—机械设计及理论]