失效率函數與可靠度呈等差或等比及混合型關係之探討

簡易檢索 / 詳目顯示

回結果列表

研究生：	劉偉彥 Wei-yen Liu
論文名稱：	失效率函數與可靠度呈等差或等比及混合型關係之探討
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：	96
語文別：	中文
論文頁數：	85
中文關鍵詞：	機率分佈、失效率函數、可靠度
外文關鍵詞：	probability distribution, hazard rate function, reliability
相關次數：	點閱：14 下載：0
分享至:	分享至facebook 分享至twitter

查詢本校圖書館目錄查詢臺灣博碩士論文知識加值系統勘誤回報

隨著科技進步發展，高品質與高可靠度之產品已成為工程設計上所追求的目標。而可靠度較佳之產品在市場上將有較高之競爭力。本研究以失效率函數為出發點，根據失效率函數與可靠度之間，分別呈現等差、等比、與混合型關係而發展出不同的模型，分析比較各模型之性質，並使用真實與模擬數據分別驗證模型的適用性，以求能夠利用各模型中參數描述系統或產品之退化行為，進一步將模型應用於預測產品之壽命。
可靠度理論是以機率與統計為工具，來處理工程設計中各類問題。本研究同時也利用失效率函數與機率密度函數間之關聯性，比較各模型機率密度分佈之趨勢，並建立特性指標以區分不同種類的機率密度分佈之集中性與對稱性。

Along with the advancement of the scientific technology, the goal of engineering design has already become designing products with high quality and high reliability. Products with higher reliability show better possibility to seek a competitive advantage over competitors.
This study, based on hazard rate function, used the mathematical relationship between hazard rate function and reliability to create three different kinds of models. The characteristics of these models were then compared and analyzed by verifying the applicability of the models using different failure data. The parameters of the models were used to describe the degeneration behavior of the products or systems. Furthermore, the life of the products was expected to predict by using these reliability models.
Reliability theorem is relying on probability and statistics as a tool set to solve all kinds of engineering related problems. This study used the correlation between failure rate function and probability density function to compare the performance of different probability distribution models. New indexes about centricity and symmetry were established to distinguish different models.

摘 要.............................................................................................................................. I
Abstract ......................................................................................................................... II
誌 謝............................................................................................................................ III
目 錄............................................................................................................................ IV
圖 目 錄...................................................................................................................... VI
表 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 研究範圍......................................................................................................... 3
第二章 可靠度分析概要.............................................................................................. 4
2.1 可靠度概要..................................................................................................... 4
2.2 可靠度函數與失效率函數............................................................................. 5
2.2.1 可靠度函數.......................................................................................... 5
2.2.2 浴缸曲線.............................................................................................. 7
2.3 可靠度退化模型............................................................................................. 8
2.3.1 韋伯可靠度退化模型.......................................................................... 8
2.3.2 累積失效模型...................................................................................... 9
第三章 可靠度模型之建立........................................................................................ 14
3.1 失效率與可靠度間呈現等差或等比關係................................................... 14
3.1.1 以使用時間觀點探討失效模式......................................................... 14
3.1.2 以失效時間觀點探討失效模式......................................................... 15
3.1.3 失效率函數與可靠度間呈等差關係或等比關係............................. 16
3.2. 失效率函數與可靠度呈等比關係之模型.................................................. 18
3.2.1 (A0 , b)模型的建立 ............................................................................. 18
3.2.2 (A0 , b)模型之性質分析 ..................................................................... 19
3.3 失效率與可靠度呈等差且等比之混合型模型I ........................................ 21
3.3.1 (A0 , A1 , b)模型的建立 ...................................................................... 21
3.3.2 (A0 , A1 , b)模型之性質分析 .............................................................. 22
3.4 失效率與可靠度呈等差且等比之混合型模型II ....................................... 24
3.4.1 (A0 , A1 , b*)模型的建立 ..................................................................... 24
3.4.2 (A0 , A1 , b*)模型之性質分析 ............................................................. 25
3.5 實例驗證....................................................................................................... 26
第四章 失效機率密度分佈之探討............................................................................ 62
4.1 機率密度函數之介紹................................................................................... 62
4.2 機率密度分佈之對稱性與集中性之討論................................................... 63
4.2.1 以面積比值討論對稱性.................................................................... 63
4.2.2 以時間間隔比值討論集中性............................................................ 65
4.2.3 特定分佈對稱性之描述.................................................................... 65
4.3 (A0 , A1
*
, n)模型之對稱性與集中性 ............................................................ 67
4.4 (A0 , b)模型之對稱性與集中性 .................................................................... 68
4.5 (A0 , A1 , b)模型之對稱性與集中性 ............................................................. 68
4.6 (A0 , A1 , b*)模型之對稱性與集中性 ............................................................ 69
第五章 結論與建議.................................................................................................... 80
參考文獻...................................................................................................................... 83

                                

[1]S.Dowlatshshahi, “A Morphological Approach to Product Design in a Concurrent Engineering Environment” , The International Journal of Advanced Manufacturing Technology, Vol. 9, pp. 324-332, 1994.
[2]K.C. Kapur , and L.R. Lamberson , Reliability in Engineering Design,John Wiley & Sons , N.Y, 1977.
[3]J.H. Bompas-Smith,“The Determination of Distributions that Describe the Failure of Mechanical Components”, Annals of Assurance Science, N.Y, 1969.
[4]沈盈志，金屬材料疲勞累積效應與可靠度關係之探討，國立中央大學機械工程學系研究所博士論文，民國八十六年。
[5]張豪麟，系統動態可靠度與其失效率關係的探討，國立中央大學機械工程學系研究所碩士論文，民國八十八年。
[6]許芳勳，動態可靠度模型之探討及其應用，國立中央大學機械工程學系研究所博士論文，民國九十年。
[7]徐盛峰，低通濾波器設計可靠度分析，國立中央大學機械工程學系研究所碩士論文，民國九十年。
[8]梁伯任，材料強度退化與累積損傷之探討，國立中央大學機械工程學系研究所碩士論文，民國八十九年。
[9]石逸群，累積失效與可靠度關係之探討，國立中央大學機械工程學系研究所碩士論文，民國八十九年。
[10]黃中岑，光纖材料之靜力疲勞可靠度分析，國立中央大學機械工程學系研究所碩士論文，民國九十年。
[11]R. Ramakumar, Engineering Reliability Fundamentals and
Applications, PTR Prentice Hall, N.J,1993.
[12]W.J. Kolarik, Creating quality concepts systems strategies and Tools, McGraw Hill, N.Y, 1995.
[13]E.E. Lewis, Introduction to Reliability Engineering, 2nd Edition, John Wiley & Sons, 1996.
[14]王國雄，「系統演化與力學分析架構的類比」，中華民國第二十屆全國力學會議，viii~xv頁，民國八十五年。
[15]林冠甫，新產品動態可靠度的評估，國立中央大學機械工程學系研究所碩士論文，民國八十年。.
[16]K.S. Wang, E.H. Wan, and W.C. Yang, “A Preliminary Investigation of New Mechanical Product Development Based on Reliability Theory”, J. of Reliability Engineering and System Safety,Vol.40,pp.187-194,1993.
[17]K.S. Wang, S.T. Chang, Y.C. Shen, “Dynamic Reliability Models for Fatigue Crack Growth Problem” , Engineering Fracture Mechanics,Vol.54, No.4, pp.543-556, 1996.
[18]K.S. Wang, C.S. Chen, J.J. Huang, “Dynamic Reliability Behavior for Sliding Wear of Carburized Steel ,Reliability Engineering & System Safety, Vol.58, pp.31-41 ,1997.
[19]楊萬騏，機件硬化層動態可靠度退化模式之探討，國立中央大學
機械工程學系研究所碩士論文，民國八十二年。
[20]K.S. Wang, Y. C. Shen, J. J. Huang,“Loading Adjustment for Fatigue Problem Based on Reliability
Consideration”,International Journal of Fatigue, Vol.19, No.10, pp.693-702, 1997.
[21]王國雄，沈盈志，「具平均應力金屬疲勞壽限預估模式之探討」，中華民國力學期刊，第十三卷第三期，245-254頁，民國86年。
[22]K.S. Wang, F. S. Hsu, P. P. Liu, “Modeling the Bathtub Shape Hazard Rate Function in Terms of Reliability” , Reliability Engineering and System Safety,2000.
[23]Charles P. Winsor, “The Gompertz Curve as a Growth Curve”,Proceedings of the National Academy of Sciences of the United States of America, Vol. 18, No.1, pp.1-8, 1932.
[24]S.S. Rao , Reliability-Base Design , McGraw-Hill,Inc., N.Y, 1993.
[25]P.W. France, W.J .Duncan, D.J .Smith, and K.J. Beales, “Strength and Fatigue of Multi-component Optical Glass Fibers” , Journal of Materials Science, Vol. 18, pp.785-792, 1983.
[26]D.J. Davis, “An analysis of some failure data” , Journal of the American Statistical Association, Vol.47, pp.113–150,1952.
[27]Douglas. C. Montgomery, Engineering Statistics ,John Wiley, N.Y,2001.
[28]C.L. Chen, K.S. Wang, Y.T. Tsai, “Characteristics of
reliability-dependent hazard rate for composite under fatigue loading” , Journal of Mechanics, (in press).
[29]陳鴻銘，失效率與失效率機率函數間關係之探討，國立中央大學
機械工程學系研究所碩士論文，民國九十七年。

簡易檢索 / 詳目顯示

相關論文