部件修复非新的温贮备可修系统可靠性分析

发布时间：2019-03-05 16:04

【摘要】：温贮备可修系统,是可靠性理论模型中一个非常重要的研究内容之一.修复非新是依赖于众多现实问题的一个实际情况.在现实生产中,部件发生失效经修理后,未必能够修复如新,而是在修理次数增多的同时,部件的使用寿命渐渐缩短,其故障修理时间越来越长.因此,研究部件修复非新的温贮备可修系统更具有应用价值.本文是在前人对可靠性理论可修系统研究成果的基础上,对部件修复非新的温贮备可修系统模型进行了分析讨论.模型一:考虑在开关寿命连续型和修理工可多重休假的情形下,研究由两不同部件组成的修复非新的温贮备可修系统.假定部件的工作寿命、贮备寿命、转换开关的寿命以及部件1的修理时间均服从指数分布,修理工的休假时间、开关和部件2的修理时间均服从一般连续型分布,分析讨论系统可能出现的状态,利用补充变量法将其扩充为广义Markov过程,建立状态微分方程,并应用Laplace变换及其反演,得到系统的可用度、故障频度、系统等待修理的概率与修理工休假的概率、可靠度及首次故障前平均时间等重要可靠性指标.模型二:分析了温贮备可修系统的又一个新模型,引入了修理设备可修这一概念,同时考虑修理工多重休假,进一步研究部件修复非新的温贮备可修系统.在假定部件的工作时间、贮备时间、修理设备的工作时间服从指数分布,部件的修理时间、修理设备的修理时间以及修理工休假时间服从一般分布函数的前提下,利用补充变量法将其扩充为广义Markov过程,建立各状态概率的微分方程,并应用Laplace变换及其反演,得到系统主要可靠性指标.
[Abstract]:The warm standby repairable system is one of the most important research contents in the reliability theory model. Repairing non-newness is a fact that depends on many realistic problems. In practical production, the failure of parts may not be repaired as new after repair. At the same time, the service life of components is shortened and the repair time becomes longer and longer while the number of repairs increases. Therefore, the research of component repair non-new warm storage repairable system has more application value. Based on the previous research results of reliability theory repairable system, this paper analyses and discusses the non-new model of warm storage repairable system for component repair. Model one: the repair non-new warm storage repairable system composed of two different components is studied in the case of continuous switching life and multiple vacations for repairmen. It is assumed that the service life of the components, the storage life, the life of the conversion switch and the repair time of the unit 1 are exponential distribution, the vacation time of the repairman, and the repair time of the switch and component 2 follow the general continuous distribution. The possible states of the system are analyzed and discussed. By using the supplementary variable method, the system is extended to a generalized Markov process, the state differential equation is established, and the availability and fault frequency of the system are obtained by using the Laplace transform and its inversion. The probability of the system waiting for repair, the probability of the repairman's vacation, the reliability and the average time before the first failure are important reliability indexes. Model 2: another new model of warm storage repairable system is analyzed, and the concept of repairable equipment is introduced. At the same time, considering the multiple vacation of repairman, the non-new repairable system of warm storage is further studied. On the assumption that the working time of the parts, the storage time and the working time of the repair equipment obey the exponential distribution, the repair time of the parts, the repair time of the repair equipment and the time of vacation of the repairman obey the general distribution function, The method of supplementary variables is used to extend it to the generalized Markov process, and the differential equations of each state probability are established. The main reliability indexes of the system are obtained by using the Laplace transform and its inversion.
【学位授予单位】：兰州理工大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O213.2

【参考文献】