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研究生: 王冠文
Kuan-wen Wang
論文名稱: 含雙軸孔配合之組件的容差分析
Tolerance Analysis for Assemblies with Double Bolt-Hole Fits
指導教授: 鄧昭瑞
Geo-Ry Tang
口試委員: 石伊蓓
Yi-pei Shih
蔡高岳
Kao-yueh Tsai
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: 2009
畢業學年度: 97
語文別: 中文
論文頁數: 106
中文關鍵詞: 容差分析尺度鏈雙軸孔配合
外文關鍵詞: tolerance analysis, dimension chain, double bolt-hole fits
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本文主旨在研究不同的容差分析方法應用在包含軸孔配合的組件。研究首先觀察單軸孔配合的關鍵尺度變化情形,其次將雙軸孔配合分為干涉與間隙兩種配合狀況分別討論。研究的重點包括分析配合件的實體接觸位置、推導相關的尺度鏈與評估可能的容差累積。本研究對雙軸孔配合的容差分析,成功的開發了一種新的方法稱為分離法。利用它可以有效估算在軸件受外力約束之條件下導出尺度的變化情形。實作的範例是依據蒙地卡羅模擬法的結果為基準,分別比較傳統的統計法、業界常用的偏移法及本研究開發的分離法之適用情形與準確性。


This work discusses different tolerance analysis methods which have been applied to the assemblies with double bolt-hole fits. The research starts from investigating the variation of key dimensions for the assemblies with single bolt-hole fit. Later, the discussion of the assemblies with double bolt-hole fits is classified as two groups, interference fits and clearance fits. This research focuses on the analyzing the contact positions of assemblies, developing corresponding dimension chains and evaluating possible tolerance accumulation. In this thesis, a new tolerance analysis method called separation method has been developed for analyzing the products with double bolt-hole fits. For the bolts under force constraints, the method can effectively evaluate the variations of the resultant dimensions. A comparison among the statistical method, the assembly shift method and the separation method has been made and the feasibility and effectiveness are examined based on the results from the Monte Carlo simulation.

摘要 Abstract 誌謝 目錄 圖索引 表索引 第一章 緒論 1.1 文獻回顧 1.2 研究方法 1.3 本文架構 第二章 容差分析 2.1 尺寸與尺度 2.2 尺度容差 2.3 組件容差與尺度鏈 2.4 尺度分佈特性 2.4.1 機率密度函數(Probability Density Function) 2.4.2 平均分佈(Uniform Distribution) 2.4.3 常態分佈(Normal Distribution) 2.5 容差分析 第三章 雙軸孔配合之尺度分析 3.1 元件尺度 3.2 組件的關鍵尺度 3.2.1 干涉配合的關鍵尺度 3.2.2 間隙配合的條件 3.2.3 間隙配合的關鍵尺度 3.2.4 元件容差與間隙配合的分類 3.3 蒙地卡羅模擬 3.4 模擬範例 3.4.1 範例一:干涉配合且元件尺度呈常態分佈 3.4.2 範例二:干涉配合且元件尺度呈平均分佈 3.4.3 範例三:間隙配合且元件尺度呈常態分佈 3.4.4 範例四:間隙配合且元件尺度呈平均分佈 第四章 軸孔配合的容差分析 4.1 單軸孔之間隙配合 4.2 偏移法應用於雙軸孔間隙配合 4.2.1 繞經左方軸孔之尺度鏈 4.2.2 繞經右方軸孔之尺度鏈 4.2.3 應用偏移法與模擬法分析結果的比較 4.3 分離法容差分析 4.3.1 雙軸孔的數學模式 4.3.2 分離法則 4.4 分離法應用於雙軸孔間隙配合 4.4.1 軸件約束靠左 4.4.2 軸件約束靠右 4.5 模擬法、分離法與偏移法比較與討論 4.6 分離法應用實例 第五章 結論與未來展望 附錄 附錄A 尺度鏈推導公式參照圖 附錄B 蒙地卡羅模擬結果圖 附錄C 容差分析結果圖與表格 參考文獻 作者簡介

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