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研究生: 吳重廷
Chung-Ting Wu
論文名稱: 元件構成之分負荷系統與備用系統之可靠度比較
the comparison of shared-load system between (k,n) and (k,k,n-k) design
指導教授: 王國雄
Kuo-Shong Wang
口試委員:
學位類別: 碩士
Master
系所名稱: 工學院 - 機械工程學系
Department of Mechanical Engineering
畢業學年度: 100
語文別: 中文
論文頁數: 125
中文關鍵詞: 分負荷(k,n)系統可靠度分負荷(k,k,n-k)系統效用因子裕度因子
外文關鍵詞: reliability, shared-load k-out-of-n:G system, shared-load k-out-of-k with n-k redundant system, effectiveness factor, tolerance factor
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  • 藉由動態可靠度模型可預測系統平均壽命,以此依據為評估系統設計之重要指標。一產品在設計結束,加工製造之前,其可靠度已大致決定,故欲擁有一高可靠度的系統,從設計階段著手乃其根本。本文藉由條件機率法與馬可夫鏈法對非等強度分負荷(k,n)系統進行分析,討論負荷相關等值失效率及負荷相關累積失效率之分負荷(k,n)系統,並以黃舉錐博士所提出之「分系統壽命相同」策略對其進行最佳負荷分配設計。以裕度觀點為考量,乃希望能爭取較多的緩衝時間以進行維護保養亦或更換等應用,故可選擇備用系統作為設計策略。最後,考慮在相同元件個數條件下之負荷相關等值失效率系統,評估其為備用系統設計時之可靠度變化與平均壽命,並透過黃舉錐博士所提出之效用因子與裕度因子觀點使系統比較更具意義。


    System MTBF can be anticipated from dynamic reliability model as a reference and important index to assess system design. Reliability of one product is generally defined prior to manufacture after design completion. Hence design phase is the commencement of a high reliability system. In this thesis, analysis to shared-load k-out-of-n:G system is performed in accordance with conditional probability method and Markov chain method. In order to discuss shared-load k-out-of-n:G system of load-dependent failure rate and load cumulative failure rate. As well as optimal load allocation design will be proceeded based on the “once a system fails it is better to have all its components fail simultaneously”strategy developed by Dr. J. J. Huang[6]. The purpose is to obtain more buffering time to carry out maintenance or replacement works. Therefore standby redundant systems can be one of the design strategy option in consideration of tolerance. Eventually, in considering of system load-dependent failure rate under the same component amount condition to assess the reliability variation and MTBF while performing its standby redundant system. Effectiveness factor and tolerance factor addressed by Dr. J. J. Huang[6] had been applied as well to make system comparison more meaningful.

    摘要.....i Abstract.....ii 誌謝.....iii 目錄.....iv 表目錄.....vi 圖目錄.....viii 符號說明.....x 第一章 緒論.....1 1.1 研究動機.....1 1.2 文獻回顧.....2 1.3 論文架構.....3 第二章 理論分析.....5 2.1 可靠度基本理論概述.....5 2.2 分負荷(k,n)系統介紹.....7 2.3 分負荷(k,n)系統存活模式.....8 2.4 條件機率法.....10 2.5 馬可夫鏈法(Markov chain method).....16 2.6 失效率函數相關介紹.....19 2.6.1 負荷相關等值失效率.....22 2.6.2 累積失效率:AE模型介紹.....22 2.7 失效行為討論.....25 2.8 分負荷系統之平均壽命.....26 第三章 分負荷系統負載分配設計及應用.....32 3.1 分負荷系統可靠度分析.....32 3.2 分負荷(k,n)系統之負荷設計.....37 3.3 例一: 負荷相關等值失效率之分負荷(k,n)系統.....40 3.4 例二: 負荷相關累積失效率之分負荷(k,n)系統.....41 第四章 分負荷系統與備用系統分析.....65 4.1 分負荷(k,k,n-k)系統之可靠度.....65 4.2 應用例分析.....71 4.2.1 例1:分負荷(3,3,1)系統與(3,4)系統.....71 4.2.2 例2:分負荷(2,3,1)系統.....74 4.3 分負荷系統設計分析.....75 4.3.1 效用因子比較.....77 4.3.2 裕度因子比較.....77 4.4 分負荷(2,3,1)系統之可靠度嵌合分析..... 78 第五章 結論與建議 105 5.1 結論..... 105 5.2 建議..... 106 參考文獻 108

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