發(fā)布時間：2019-03-05 16:04

【摘要】：溫貯備可修系統(tǒng),是可靠性理論模型中一個非常重要的研究內(nèi)容之一.修復非新是依賴于眾多現(xiàn)實問題的一個實際情況.在現(xiàn)實生產(chǎn)中,部件發(fā)生失效經(jīng)修理后,未必能夠修復如新,而是在修理次數(shù)增多的同時,部件的使用壽命漸漸縮短,其故障修理時間越來越長.因此,研究部件修復非新的溫貯備可修系統(tǒng)更具有應(yīng)用價值.本文是在前人對可靠性理論可修系統(tǒng)研究成果的基礎(chǔ)上,對部件修復非新的溫貯備可修系統(tǒng)模型進行了分析討論.模型一:考慮在開關(guān)壽命連續(xù)型和修理工可多重休假的情形下,研究由兩不同部件組成的修復非新的溫貯備可修系統(tǒng).假定部件的工作壽命、貯備壽命、轉(zhuǎn)換開關(guān)的壽命以及部件1的修理時間均服從指數(shù)分布,修理工的休假時間、開關(guān)和部件2的修理時間均服從一般連續(xù)型分布,分析討論系統(tǒng)可能出現(xiàn)的狀態(tài),利用補充變量法將其擴充為廣義Markov過程,建立狀態(tài)微分方程,并應(yīng)用Laplace變換及其反演,得到系統(tǒng)的可用度、故障頻度、系統(tǒng)等待修理的概率與修理工休假的概率、可靠度及首次故障前平均時間等重要可靠性指標.模型二:分析了溫貯備可修系統(tǒng)的又一個新模型,引入了修理設(shè)備可修這一概念,同時考慮修理工多重休假,進一步研究部件修復非新的溫貯備可修系統(tǒng).在假定部件的工作時間、貯備時間、修理設(shè)備的工作時間服從指數(shù)分布,部件的修理時間、修理設(shè)備的修理時間以及修理工休假時間服從一般分布函數(shù)的前提下,利用補充變量法將其擴充為廣義Markov過程,建立各狀態(tài)概率的微分方程,并應(yīng)用Laplace變換及其反演,得到系統(tǒng)主要可靠性指標.
[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.
【學位授予單位】：蘭州理工大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：O213.2

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