文献类型：期刊文献

中文题名：蠕变损伤概率的Edgeworth级数近似分布函数的研究

英文题名：Research on Approximate Edgeworth Series Distribution Function of Creep Damage Probability

作者：李超[1];刘长虹[1]

机构：[1]华东理工大学承压系统与安全教育部重点实验室,上海200237

年份：2013

期号：9

起止页码：124

中文期刊名：机械设计与制造

外文期刊名：Machinery Design & Manufacture

收录：CSTPCD;;北大核心:【北大核心2011】；

语种：中文

中文关键词：蠕变损伤;可靠性;Edgeworth级数;正态分布

外文关键词：Creep Damage; Reliability; Edgeworth Series; Normal Distribution

摘要：提出利用随机变量样本的前四阶矩,确定模拟蠕变损伤概率分布函数的Edgeworth级数的具体的计算公式以及计算方法。根据蠕变时间变化,确定相应的Edgeworth级数,并且与正态分布函数进行比较。计算结果表明,尽管蠕变损伤概率分布不符合正态分布函数曲线的特征,但由于Edgeworth级数与正态分布函数的相对误差较小,因此正态分布函数可以用于近似模拟复杂工程结构中蠕变损伤可靠性分析中的失效概率。
A numerical method for simulating edgeworth series of creep damage probability distribution based on the fourth moment of random sample is presented. According to the variation of creep time, edgeworth series has been confirmed and compared with normal distribution function~ Numberical example indicates that creep damage probability distribution doesn＇t meet the property of normal distribution function; however relative error between edgeworth series and normal distribution function is comparatively small, and results can be obtained that normal distribution function is suitable for approximately simulating failure probability in the creep damage reliability analysis of complex engineering structure.