故障树计算机辅助分析及应用研究摘

故障树计算机辅助分析及应用研究

摘要

本文完善了故障树中主要参数(最小割集、最小路集、不交化最小割集和不 交化最小路集)之间相互转化的方法．并通过矩阵的运算加以实现；提出了利用

不交化最小路集实现故障树定量分析的新方法；建立了多种故障树定性、定量分

，

析的方法，并提出了不同结构故障树选择最佳分析方法的原则。眩些新方法的合

、

＼

理应用能有效地降低FTA的“NP”困难，为FTA．的简化提供了新的途径d

根据vC++和VB程序设计语言各自的特点，采用混合语言编程，开发了

r

Windows操作系统下的故障树综合分析软件。疑过对多种故障树实例的测试，证

明该软件具有界面友好、操作简便、节省内存、运算快捷等优点。土

通过对机械和航空系统中的一些实例进行故障分析，证明了本文所建立的分 析方法和应用软件是科学而有效的，也说明了故障树分析法(FTA)在机械故障分 析、航空安全性评定等领域的重要性。

关键词：故障树分析法割集矩阵’D运算，

N运算?“NP”困难√安全性评定K

The

TheStudy of Personal Computer Aided Fault Tree

Analysis and Application

Abstract

In this paper，the transformation among a fault tree’S main data(minimum cut sets，minimum path sets，non—intersect minimum cut sets and non·intersect minimum path sets)is perfected and realized by matrix operation．And a new method of quantitative analysis is put forward through non—intersect minimum path sets．On the base of above，several methods are built for the use of fault tree qualitative analysis

and quantitative analysis，and rules are made out to choose the applicable methods for

fault treeswith different structure．Therationalapplication of these methodsCan

lower the‘'NP”difficulty,and provide a new approach to simplify FTA．

According to their respective characteristics ofVC++language and VB language， the generally multifunctional software of fault tree analysis is developed by mixed language programs．This software is fully compatible with Windows operation system．

Through testing many examples of fault trees，it is confirmed that the software has

advantages offriendly interface，convenience，saving memory and rapidity．

The methods and the software built in this paper is proved scientific and effective by analyzing some examples in mechanical system and aeronautical system．Thus it shows that fault tree analysis is significant in mechanical fault analysis and aeronauticaI safety assessment．

Key Words：Fault Tree Analysis，Cut Sets Matrix，D Operation， N Operation，“NP”Difficulty,Safety Assessment．

第一章绪论1．1故障树分析法简介

第一章绪论

1．1故障树分析法