基于通用生成函数的系统寿命可靠性分析

doi:10.7527/S1000-6893.2013.0252

固体力学与飞行器总体设计

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基于通用生成函数的系统寿命可靠性分析

任博, 吕震宙, 李贵杰, 唐樟春

西北工业大学航空学院, 陕西西安 710072

收稿日期:2013-01-06 修回日期:2013-05-05 出版日期:2013-11-25 发布日期:2013-05-14
通讯作者: 吕震宙，Tel.：029-88460480 E-mail：zhenzhoulu@nwpu.edu.cn E-mail:zhenzhoulu@nwpu.edu.cn
作者简介:任博男，博士研究生。主要研究方向：飞行器结构设计和可靠性工程。 E-mail：rabber2003@163.com；吕震宙女，博士，教授，博士生导师。主要研究方向：飞行器可靠性工程和航空航天安全工程。 Tel：029-88460480 E-mail：zhenzhoulu@nwpu.edu.cn
基金资助:
国家自然科学基金（51175425）;航空科学基金（2011ZA53015）

Reliability Analysis for System Life Based on Universal Generating Function

REN Bo, LV Zhenzhou, LI Guijie, TANG Zhangchun

School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China

Received:2013-01-06 Revised:2013-05-05 Online:2013-11-25 Published:2013-05-14
Supported by:
National Natural Science Foundation of China (51175425);Aeronautical Science Foundation of China (2011ZA53015)

摘要/Abstract

摘要：

提出一种基于通用生成μ函数的液压系统可靠性分析新方法，并对某液压系统可靠性进行分析，为改进系统提供依据。首先从系统失效数据出发，将部件工作状态分类，根据失效数据得到部件处于各状态的概率，建立部件的μ函数模型，描述部件性能的不确定性。然后依据系统的结构功能逻辑关系，借助μ函数特性和逻辑算子，得到系统μ函数。最后基于所提μ函数的系统可靠性指标，完成系统可靠性分析。与传统Monte Carlo（MC）方法相比，所提方法直接从失效数据出发，确定部件状态并构造反应其不确定性性能分布的μ函数，通过μ函数将部件不确定性传递到系统，并基于系统μ函数直接进行可靠性分析，避免了传统MC方法拟合部件级不确定性概率分布的误差。以某液压系统为例验证所提方法的正确性和高效性。

关键词: μ函数, 液压系统, Z变化, 可靠性分析, Monte Carlo方法

Abstract:

A novel technique for the reliability analysis of a hydraulic system is presented based on the universal generating μ function and useful information can be obtained for system analysts and design engineers to guide effective system improvement both in the design phase and during operation. First, according to the fault data, the states and their corresponding probabilities for the constitutive elements of the system are determined by the histogram technique. Then, based on the determined state probabilities for all elements, an individual μ function for each element is defined by means of μ function. Finally, by using the composition operators over the μ function of individual elements and their logic combinations in the entire system structure, the μ function of the entire system can be obtained by simple algebraic operations, and this μ function expresses the output performance distribution for the system. Due to the definition of reliability measures about the μ function, reliability analysis can be easily completed from this output performance distribution compared with traditional Monte Carlo (MC) method. As the method is performed without estimating the distribution of the elements, the errors of truncation and numerical fitting are reduced. The example of a certain hydraulic system is used to illustrate the correctness and effectiveness of the novel method.

Key words: μ function, hydraulic system, Z transform, reliability analysis, Monte Carlo method

中图分类号:

V221
TB114.3

任博, 吕震宙, 李贵杰, 唐樟春. 基于通用生成函数的系统寿命可靠性分析[J]. 航空学报, 2013, 34(11): 2550-2556.

REN Bo, LV Zhenzhou, LI Guijie, TANG Zhangchun. Reliability Analysis for System Life Based on Universal Generating Function[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2013, 34(11): 2550-2556.

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E-mail：hkxb@buaa.edu.cn

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主管单位：中国科学技术协会主办单位：中国航空学会北京航空航天大学

基于通用生成函数的系统寿命可靠性分析

Reliability Analysis for System Life Based on Universal Generating Function

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