應力調降對冪次退化複材元件應用之探討

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姓名

陳佳宏(Jia-hong Chen) 查詢紙本館藏

畢業系所

機械工程學系

論文名稱

應力調降對冪次退化複材元件應用之探討

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摘要(中)

本論文主要以強度-應力干擾理論（SSI）當作理論基礎，針對複合材料之強度退化，假設初始強度分佈與應力分佈為一常態分佈，並以強度退化的動態方程式去做蒙地卡羅模擬實際使用的情況下，殘留強度隨時間退化的現象，再進一步以Weibull Model和η Model去做嵌合，描述其行為並加以討論可靠度退化與複合材料之殘留強度分佈的變化。
接著依據第一階段應力施加的理論，去推出第二階段的強度退化之動態方程式，考慮以可靠度當作應力調整轉換點去做蒙地卡羅模擬時，可發現其二階段的轉換點會因應力施加順序的不同而有所差異，以高應力轉換成低應力來說，會出現一段近似無失效的現象，且這段近似無失效期會因高低應力的差距愈大而增大，依據此現象去推導出其近似無失效期（cycles），並以模擬數據加以比較其準確性。若進一步來做探討，只討論其轉換點1>R>0.99範圍，可將其水平視為保證期（即近似無失效期）。

摘要(英)

This thesis mainly regards as the theoretical foundation with SSI. Strength degradation in view of composite, the supposition original strength distribution and the stress distribution are a normal distribution, and the dynamic equation of strength degradation is Monte Carlo to simulate the actual use in the situation, the residual strength the phenomenon which degradation along with the time. Again further analyze Weibull Model and Eta Model by fitting. Describes its behavior and discusses reliability degradation and the composite the residual strength distributed change.
Then according to the theory that the stress applied of the first stage, derive the dynamic equation of strength degradation at second stage, consider regarding as the stress adjustment the exchange point with the reliability and doing Monte Carlo to simulate, can find the exchange points of two stages will be different to some extent because it is different to applied the order in the stress. Transformed the low stress by the high stress, appear section of approximate free failure time period the phenomenon, And this section increases greatly because of the height stress’s disparity, derive out this section according to this phenomenon, and compare their accuracy in order to simulated results. If further come to do the discussion, only discuss the range of 1>R>0.99, can regard this period as warranty period.

關鍵字(中)

★ 應力調整
★ 強度應力干擾理論

關鍵字(英)

★ stress adjustment
★ SSI

論文目次

摘要 I
誌謝 III
目錄 IV
圖目錄 VI
表目錄 VIII
符號說明 IX
第一章緒論 1
1.1 前言 1
1.2 文獻回顧 2
1.3 論文架構 2
第二章可靠度理論 4
2.1 可靠度的定義 4
2.2 可靠度函數與失效率函數 5
2.3 強度與應力干擾理論 7
2.3.1 兩個隨機變數之計算 7
2.3.2 多個隨機變數之計算 11
2.4 動態可靠度模型回顧 15
2.4.1 AE Model 15
2.4.2 ecn Model 16
2.4.3 "η" Model 17
第三章材料強度退化與可靠度的關係 25
3.1 利用蒙地卡羅法模擬強度退化 25
3.1.1 強度退化模式 25
3.1.2 將應力和強度以隨機取樣來模擬強度退化 26
3.2 模擬結果分析 28
3.2.1 初始強度分佈與應力分佈對Weibull Model參數之影響 28
3.2.2 初始強度分佈與應力分佈對η Model參數之影響 29
3.3 探討殘留強度分佈的變化 30
第四章二階段應力調降對材料退化的影響 43
4.1 利用蒙地卡羅模擬二階段強度退化過程 43
4.2 殘留強度退化方程式 44
4.3 高應力轉低應力之轉換期 46
4.4 預測公式與模擬數據的比較分析 51
第五章結論與建議 56
5.1 結論 56
5.2 建議 57
參考文獻 58

參考文獻

[1] K. C. Kapur, and L.R. Lamberson, Reliability in Engineering Design, John Wiley & Sons , N.Y. , 1977.
[2] S.S. Rao, Reliability-Based Design , McGraw-Hill,Inc., N.Y, 1993.
[3] 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，1993。
[4] 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，2001年。
[5] 陳穎佳，“以S-N曲線探討機械疲勞可靠度之退化模式”，國立中央大學機械工程研究所，碩士論文，1995。
[6] G. P. Sendeckyj, “Fitting Models to Composite Materials Fatigue Data”, Test Methods and Design Allowables for Fibrous composites. ASTM STP 734, C. C. Chamis, Ed., American Society for Testing and Materials, pp.245-260, 1981.
[7] X. Diao, L. Ye and Y. W. Mai, ”A Statistical Model of Residual Strength and Fatigue Life of Composite Laminates,” Composites Science and Technology, Vol. 54, pp. 329-336, 1995.
[8] N. L. Post, “Reliability Based Design Methodology Incorporating Residual Strength Prediction of Structural Fiber Reinforced Polymer Composites under Stochastic Variable Amplitude Fatigue Loading,” Ph.D. thesis, Virginia Polytechnic Institute and State University; 2008.
[9] 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，1997。
[10] C. L. Chen, Y. T. Tsai, K. S. Wang, “Characteristics of Reliability-Dependent Hazard Rate for Composites under Fatigue Loading, ” Journal of Mechanics, Vol. 25, No. 2, pp. 195-203, June 2009.
[11] 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，2000。
[12] K. S. Wang, C. L. Chen, “Effects of Fatigue Loading Adjustment on the Dynamical Reliability of Composites-Part 1: Transition Period and Reliability Drop.” submitted to Composite Science and Technology on Jan. 27, 2010 (submission ID: 3034).
[13] C. L. Chen, K. S. Wang, “Effects of Fatigue Loading Adjustment on the Dynamical Reliability of Composites.” submitted to 2010 International Conference on Risk and Reliability Management, Beijing on July 15, 2010 (submission ID: 3034).
[14] 郭思吟，“失效率為累積損傷函數關係之探討”，國立中央大學機械工程學系研究所碩士論文，2009。
[15] K. S. Wang, Y. C. Shen, I. J. Chen and Y. M. Chen, “Fatigue Reliability Based on S-N Curves,” The Chinese Journal of Mechanics, Vol. 12, No. 4, pp. 525-534, 1996.
[16] K. S. Wang, F. S. Hus, “Optimal Selection of Standard Deviation of Design Variables Based on Reliability Requirement,” Reliability Engineering and System Safety, Vol. 33, pp.177-188, 1991.
[17] P. C. Chou and R. Croman, “Residual Strength in Fatigue Based on the Strength-Life Equal Rank Assumption,” Journal of Composite Materials, Vol. 12, pp. 177-194, 1978.
[18] S. Winitzki, “A handy approximation for the error function and its inverse,” A lecture note obtained through private communication, February 6, 2008.
[19] S. Sarkani, G. Michaelov, D. P. Kihl, D. L. Bonanni, “Comparative Study of Nonlinear Damage Accumulation Models in Stochastic Fatigue of FRP Laminates,” JOURNAL OF STRUCTURAL ENGINEERING-ASCE, Vol. 127, Issue: 3, pp. 314-322, MAR 2001.
[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.

指導教授

王國雄(Kuo-Shong Wang)

審核日期

2010-7-23

推文