A NEW FAILURE PROBABILITY COMPUTING METHOD FOR MECHANICAL COMPONENTS

ZHANG YanFang; ZHANG YanLin

doi:10.16579/j.issn.1001.9669.2020.05.017

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A NEW FAILURE PROBABILITY COMPUTING METHOD FOR MECHANICAL COMPONENTS

更新时间：2022-09-22

- A NEW FAILURE PROBABILITY COMPUTING METHOD FOR MECHANICAL COMPONENTS
- Journal of Mechanical Strength Vol. 42, Issue 5, Pages: 1125-1129(2020)
- 作者机构：
  
  1. 防灾科技学院数学教研室
  2. 华北科技学院机电工程学院
- 作者简介：
- 基金信息：
- DOI：10.16579/j.issn.1001.9669.2020.05.017
  CLC：
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ZHANG YanFang, ZHANG YanLin. A NEW FAILURE PROBABILITY COMPUTING METHOD FOR MECHANICAL COMPONENTS. [J]. 42(5):1125-1129(2020)
DOI：

ZHANG YanFang, ZHANG YanLin. A NEW FAILURE PROBABILITY COMPUTING METHOD FOR MECHANICAL COMPONENTS. [J]. 42(5):1125-1129(2020) DOI： 10.16579/j.issn.1001.9669.2020.05.017.

摘要

基于单变量降维法、Edgeworth级数和统计矩的关系提出了一种机械元件失效概率计算的方法。应用单变量降维法计算响应原点矩,写出Edgeworth级数计算失效概率的近似式。在近似式中将中心矩用原点矩代替,从而计算机械元件的失效概率。应用所提出的方法非正态随机参数不需要转化为相应的正态随机参数。文章最后一部分给出两个数值计算例子,例子中分别使用所提出的方法和二阶矩法计算失效概率。所得的两个结果分别和Monte-Carlo模拟算法计算结果比较失效概率的精确性和有效性。结果表明所提出的方法可以有效地计算机械元件的失效概率。

Abstract

Based on univariate dimension reduction method（ UDRM）,edgeworth series and the relation of statistical moment,a method for calculation of failure probability of mechanical components is proposed. The univariate dimension reduction method is applied to calculate the response origin moments of fundamental input random variables. Edgeworth series is used to estimate failure probability of mechanical components by using first few response central moments. The non-normal random parameters need not to be transformed into equivalent normal ones. Two numerical examples are employed to illustrate the accuracy and efficiency of the proposed method and the second moment method by comparing the failure probability results.The results obtained by the proposed new method and the second moment method are compared with those obtained by Monte-Carlo Simulation（ MCS） respectively. The results show that the new method can calculate the failure probability of mechanical components effectively.

关键词

单变量降维积分失效概率Edgeworth级数原点矩中心矩

Keywords

Univariate dimension-reduction integrationFailure probabilityEdgeworth seriesOrigin momentCenter moment

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