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研究生: 顏肇余
Yen, Chao-Yu
論文名稱: 結合重要性指標與敏感度以提升連鎖失效系統之可靠度
Integrating Importance Measure with Sensitivity Analysis to Improve the Reliability of Cascading Failure System
指導教授: 陳家豪
Chen, Ja-Hau
學位類別: 碩士
Master
系所名稱: 工學院 - 機械工程學系
Department of Mechanical Engineering
論文出版年: 2014
畢業學年度: 102
語文別: 英文
論文頁數: 64
中文關鍵詞: 連鎖失效重要性評估敏感度分析可靠度產品設計
外文關鍵詞: Cascading failure, Importance measure, Sensitivity analysis, Reliability, Product design
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  • 一個複雜的工程系統包含很多元件,我們分析的情況就不能忽略這些元件有互相的影響,而在一個現實的工程系統中,連鎖失效的反應是非常常見的,我們發現現有的方法(敏感度分析、FMEA...等)都存在著一些缺陷,造成運用在實際的工程問題上的困難。

    本研究是在探討結合不同的資料與分析方法來建立一個較完整的評估連鎖失效系統的方法。當我們只擁有一些關於元件與系統可靠與否的對應資料,我們利用B-reliability importance measure來評估元件的重要性,且結合元件破壞的順序與互相影響情形來建立一個較完整的評估連鎖失效系統的方法Cascading Importance Measure,並將此方法運用在模型上且藉由可靠度測試來驗證此方法。

    Cascading Importance Measure方法評估的是元件可靠度對系統可靠度的重要性,但是我們是藉由調整設計變數來調整元件可靠度,而調整的設計變數並不只影響自己的元件。所以我們藉由一些關於變數與元件之間的敏感度分析去建立一套更完整的評估方法 CIM+ 來達到評估變數與系統可靠度之間的關係,且藉由測試結果來驗證我們的評估結果。

    最後我們透過一個有連鎖失效情況的電子系統,利用我們的上述的兩種方法分別分析這個電子系統,並且藉由測試結果來驗證我們的評估結果。

    Our research aims to build a more integrated analysis to measure the importance in a cascading failure system by combining different existing data. We find out the influence between components can not be ignored in a complex system. The cascading failure condition is very common in a engineering system, but the common methods that analyze influence from components to system (ex:sensitivity, FMEA,B-reliability importance measure...) are not suit enough to deal with a black-box cascading failure system.

    In most design cases, we have limited data about the success or failure condition of some components and system from current design. In order to build a more integrated analysis, we use the B-reliability importance measure combine with the failure dependency matrix and sequence of failure that we called Cascading Importance Measure (CIM). Based on the limited existing data, the CIM analysis is hard to completely correct in the testing result. Because the CIM is measuring the importance of component reliability to system reliability, and adjusting design variables to improve the components' reliability. But the change of the design variable is not only change the reliability of it's own component,

    To build a more completed analysis, we use the information of sensitivity analysis from variables to each component's performance.
    Under the data of sensitivity analysis from variables to each component's performance, we can build a new method to enhance CIM (CIM+).
    And measure the importance from design variables to system reliability.

    Finally, we use our two method to a electrical system which is a typical cascading failure system. And then verify the result of two methods by testing result of improving system reliability.

    書名頁..................i 論文口試委員審定書..............ii 授權書..................iii 中文摘要................iv Abstract .................v 誌謝.................vi Table of Contents ...............vii List of Tables ................xi List of Figures ...............xiv List of Symbols ...............xv 1 Introduction and motivation ............1 1.1 Introduction ..............1 1.2 Characteristics of Reliability Data ...........1 1.3 Problem De nition ..............2 1.4 Motivations ..............3 1.5 Organization of the Thesis ............5 2 Background ...............6 2.1 Mathematical Model of Collected Data .........6 2.1.1 Common Probability Distribution Function ........6 2.2 Analysis of Existing Design ...........8 2.2.1 Reliability analysis using the First Order Second Moment ....9 2.2.2 Reliability analysis using the Monte Carlo Simulation ......9 2.2.3 Failure Mode and E ects Analysis .........10 2.2.4 System Analysis via Sensitivity .........11 2.2.5 System Analysis via Importance Measure .......11 2.2.6 Di erence between Sensitivity Analysis and B-reliability Importance Measure .14 2.3 Design Application with Analyzed Data ..........14 2.3.1 Reliability Based Design Optimization .........14 2.3.2 FMEA in Design .............16 2.3.3 Sensitivity in Design ...........16 2.3.4 Importance Measure in Design .........16 2.4 Cascading Failure System ............18 2.5 Summary ...............19 3 Importance measure in the Design of a Ten-bar Truss .......20 3.1 Problem description .............20 3.1.1 Data Description .............22 3.2 Sensitivity Analysis ..............22 3.3 B-reliability Importance Measure ..........23 3.3.1 Failure condition .............24 3.3.2 Stop simulation ............25 3.4 Comparison ..............26 3.5 Summary ...............28 4 Cascading Importance Measure ............29 4.1 Problem in Applying Current Methods .........29 4.2 Failure Dependency Matrix ...........29 4.3 Failure Dominated Condition ............29 4.4 Cascading Importance Measure ...........30 4.4.1 Process of Calculating CIM ...........34 4.5 CIM in Ten-bar Truss ............36 4.6 Conclusion ..............42 5 Enhance Cascading Importance Measure (CIM+) ........43 5.1 Problem in Applying CIM ............43 5.2 Sensitivity of Each Component ...........43 5.3 Construction of CIM+ ............44 5.4 Result of CIM+ ..............45 5.5 Conclusion ..............52 6 Case Study ...............53 6.1 Problem Describe .............53 6.2 Comparison of Sensitivity and B-reliability Importance Measure in Case Study ..54 6.2.1 Sensitivity in Case Study ..........54 6.2.2 B-reliability Importance Measure in Case Study .......55 6.2.3 Result of Improving System Reliability in Case Study ......55 6.3 CIM in Case Study ..............56 6.4 CIM+ in Case Study .............57 6.5 Conclusion ..............58 7 Conclusion ................59 7.1 Contributions ...............59 7.2 Unsolved Problem ..............60 7.3 Future Work ...............60 References .................61

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