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研究生: 林秀聰
Siou-Cong Lin
論文名稱: 以容差圖為基礎的組件容差分析
Assembly Tolerance Analysis Based on Tolerance-Map
指導教授: 鄧昭瑞
Geo-Ry Tang
口試委員: 周碩彥
Shuo-Yan Chou
王勵群
Li-Chun T. Wang
學位類別: 碩士
Master
系所名稱: 工程學院 - 機械工程系
Department of Mechanical Engineering
論文出版年: 2008
畢業學年度: 96
語文別: 中文
論文頁數: 64
中文關鍵詞: 幾何變異容差分析
外文關鍵詞: geometric variation, tolerance analysis
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本文探討零件特徵端面於容差區域內的幾何變異對於組件長度的影響。研究首先探討容差圖的定義與圓柱形零件特徵端面在容差圖中的表示法,其次討論形狀幾何容差對於容差堆疊的影響。而後利用零件容差圖上的拓樸參數以正視圖的形狀參數建立兩種方法以模擬零件特徵端面在容差區域內的幾何變異。在電腦模擬中,本研究隨機給定樣本零件的長度尺寸與特徵面的幾何變異,接著將估算零件組裝後組件的長度。在重複建立足夠數目的樣本組件後,以統計的圖表來描述特徵面之輪廓變化與平度誤差對於組件長度的影響。


This work discusses the influence on the length of assemblies due to geometric variations on the components’ feature. The research began with the study of tolerance-map. The possible candidates for the end face of a round bar are represented by two connected cones. Tolerance stack-ups including size and flatness are discussed next. Two methods are recommended to generate random samples as the features of round bars. Geometric parameters for a component are defined with the front view of the component in the first method. However, they are defined with the tolerance-map of the component in the second method. In the computer simulation, the length of an assembly is determined by the geometric profile of the randomly-generated components. Based on statistic data and charts, this research provides an error analysis to the length of assemblies.

摘要 I Abstract II 誌謝 III 目錄 IV 圖索引 VII 表索引 XI 第一章 緒論 1 1.1 前言 1 1.2 文獻回顧 2 1.3 研究方法與範圍 4 1.4 本文架構 5 第二章 幾何容差與容差分析 6 2.1 幾何容差概述 6 2.1.1 形狀幾何容差 7 2.2 容差分析 8 2.2.1 尺寸容差堆疊分析 8 2.3 機率密度函數 10 2.3.1均勻分佈 12 2.3.2常態分佈 13 第三章 容差圖 14 3.1面域座標 14 3.2 圓形特徵面之容差圖 16 3.3 組件容差圖 22 3.4受幾何容差約束的特徵面之容差圖 28 3.5 形狀容差於容差分析的影響 31 3.5.1形狀幾何容差差僅視為平移的變異 32 3.5.2形狀幾何容差差視為旋轉的變異 33 第四章 組件容差之電腦模擬 37 4.1自訂分佈機率法 37 4.2參考累積機率法 39 4.2.1方向變異 39 4.2.2平度誤差 41 4.3組件長度尺寸計算 42 4.3.1兩個等徑零件 42 4.3.2兩個不等徑零件 43 4.3.3三個等徑零件 44 4.4範例分析 47 4.4.1範例ㄧ 47 4.4.2範例二 54 4.4.3範例三 57 第五章 結論與未來展望 59 參考文獻 61 作者簡介 64

[1] Z. Shen, G. Ameta, J. J. Shah and J. K. Davidson, “A Comparative Study of Tolerance Analysis Methods”, ASME, Journal of Computing and Information Science in Engineering, Vol.5, pp.247-256, 2005.
[2] J. J. Shah, G. Ameta, Z. Shen and J. K. Davidson, “Navigating the Tolerance Analysis Maze”, Computer-Aided Design and Applications, Vol.4, No.5, pp.705-718, 2007.
[3] E. M. Mansoor, “The Application of Probability to Tolerances Used in Engineering Design”, Proceedings of the ImechE, 178, pp.29-44, 1967.
[4] Min Xi, E. A. Lehtihet and T. M. Cavalier “Numerical approximation approach to the producibility of composite position tolerance specifications for pattern of holes”, International Journal of Production Research, Vol. 42, pp.243-266, 2004.
[5] H. S. Seo and B. M. Kwak “Efficient statistical tolerance analysis for general distributions using three-point information”, International Journal of Production Research, Vol. 40, pp.931-944, 2002.
[6] C. Zang, J. Luo and B. Wang, “Statistical Tolerance Synthesis Using Distribution Function Zones”, International Journal of Production Research, Vol.37, No.17, 1999.
[7] D. E. Whitney, O. L. Gilbert and M. Jastrzebski “Representation of Geometric Variations Using Matrix Transforms for Statistical Tolerance Analysis in Assemblies”, Research in Engineering Design, 6, pp.191-210, 1999.
[8] S. Lee and C. Yi, “Statistical Representation and Computation of Tolerance and Clearance for Assemblability Evaluation”, Robotica, Vol.16, pp.251-264, 1998.
[9] D. Teissandier, Y. Couetard and A. Gerard, “A Computer Aided Tolerancing Model: Proportioned Assembly Clearance Volume”, CAD Computer Aided Design, Vol.31, pp.805-871, 1999.
[10] J. K. Davidson, A. Mujezinovic and J. J. Shah and, “A New Mathematical Model for Geometric Tolerances as Applied to Round Faces”, ASME Transactions, Journal of Mechanical Design, pp.609-622, 1999.
[11] A. Mujezinovic, J. K. Davidson and J. J. Shah ,“A New Mathematical Model for Geometric Tolerances as Applied to Polygonal Faces”, ASME Transactions, Journal of Mechanical Design, pp.504-518, 2004.
[12] W. Wu and S. S. Rao, “Interval Approach for the Modeling of Tolerances and Clearances in Mechanism Analysis”, ASME Transactions, Journal of Mechanical Design, Vol.126, pp.581-592, 2004.
[13] American National Standard ASME Y14.5M, “Dimensioning and Tolerancing”, The American Society of Mechanical Engineers, NY, 1994.
[14] A. Krulikowski, “Tolerance Stacks A Self-Study Course Volume 1 Student Manual”, Effective Training, 1992.
[15] B. K. A. Ngoi, L. E. N. Lim, P. S. Ang and A. S. Ong, “Assembly Tolerance Stack Analysis for Geometric Characteristics in Form Control – the Catena Method”, The International Journal of Advanced Manufacturing Technology, Vol.15, pp.292-298, 1999.
[16] 劉明德、陳哲炯、徐惠莉、王愷、柳克婷、林貞純、吳玉僑、林弘文, “統計學2版”,全華圖書,2007。
[17] H. S. M. Coxeter, “Introduction to Geometry”, Wiley, 1969.
[18] D. Teissandier, V. Delos and Y. couetard, “Operations on Polytopes: Application to Tolerance Analysis”, Global Consistency of Tolerances, pp.425-434, 1999.
[19] B. R. Fischer, “Mechanical Tolerance Stackup and Analysis”, Marcel Dekker Inc., 2004.

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