隨著工業科技的進步，公差分析已成為機構設計者為權衡優質的產品性能，及降低製造不良率時不可或缺之重要工具。傳統試誤法的使用，會浪費過多的時間及金錢等重要的可貴資源，至於一維組裝公差分析雖然已廣泛地被大眾所利用，但尚無法將幾何公差列入分析，稍有嫌不足之處。
本研究中將探討二維組裝公差的分析流程，並介紹向量迴圈的建構原則及特性，同時採用DLM演算法求解零件尺寸的變數，最後搭配組裝公差模擬之最壞狀況法及統計法的應用，求得客觀的組裝公差設計值。同時於文中將取不同類型之的單迴圈及多迴圈的案例做進一步的探討，確認其推導流程的正確性。最後取密封型迴轉式壓縮機做為實際案例進行分析，求解未知的組裝公差設計值，希望透過此法求得較為客觀的零件尺寸設計值。

With the progress of industry and technology, tolerance analysis become important tool to get high-quality products and reduce failure ones for mechanical designer. In tradition, try and error method wastes important valuable resources such as time and money. Although tolerance analysis of 1-D assemblies has already been widely utilized, but it has a weak point that it is unable to get the geometric tolerance into analysis.
This research will probe into tolerance analysis of 2-D assemblies, and introduces the vector loop''s constructing principle and characteristic. In order to get the objective tolerance, using DLM Method to solve parameters of part and trying to match up the result of tolerance analysis of the Worst Case Method and the Statistical Method. In this study, the different types of cases of single loop and multi-loop will be conferred, and confirm the accuracy of the technological processes. Finally, hermetic rotary compressor will be analyzed as the real case to solve the unknown designing tolerance, and it hopes to get the objective designing values within this research.

參考文獻
[1]　謝豪峰，一維組裝公差模擬發展，中央大學機械工程研究所碩士論文，2006。
[2]　C. D. Carr, “A Comprehensive Method for Specifying Tolerance Requirements for Assemblies”, M.S. Thesis, Department of Mechanical Engineering, Brigham Young University, 1993.
[3]　A. Trego, “A Comprehensive System for Modeling Variation in Mechanical Assemblies”, M.S. Thesis, Department of Mechanical Engineering Brigham Young University, 1993.
[4]　K. W. Chase and S. P. Magleby, “A Comprehensive System for Computer-Aided Tolerance Analysis of 2-D and 3-D Mechanical Assemblies”, Report, Department of Mechanical Engineering Brigham Young University, 1997.
[5]　A. P. Simmons, “Automated Vector Loop Generation for Kinematic Models of Mechanical Assemblies”, M.S Thesis, Department of Mechanical Engineering Brigham Young University, 1990.
[6]　K. W. Chase, J Gao, S P. Magleby and C. D. Sorensen, ” Including Geometric Feature Variations in Tolerance Analysis of Mechanical Assemblies”, J. of IIE Transaction, Vol.28, pp.795-807,1996.
[7]　K. W. Chase, “Tolerance Analysis of 2-D and 3-D Assemblies”, Report, Department of Mechanical Engineering Brigham Young University, 1999.
[8]　A. J. Mortensen, “An Integrated Methodology for Statistical Tolerance Analysis of Flexible Assemblies”, M.S. Thesis, Department of Mechanical Engineering Brigham Young University, 2002.
[9]　K. W. Chase, J. Gao and S. P. Magleby,” General 2-D Tolerance Analysis of Mechanical Assemblies with Small Kinematic Adjustments”, J. of Design and Manufacturing, Vol.5, No.4, 1995.
[10]　K. W. Chase, Spencer P. Magleby, “Tolerance Analysis of 2-D and 3-D Mechanical Assemblies With Small Kinematic Adjustments”, in Advanced Tolerance Techniques, pp. 103-137, John Wiley, 1998.
[11]　K. W. Chase, “Basic Tools for Tolerance Analysis of Mechanical Assemblies”, Report, Department of Mechanical Engineering Brigham Young University, 2003.
[12]　黃家毅，螺桿壓縮機組裝公差模擬分析，中央大學機械工程研究所碩士論文，2007。
[13]　川平睦義，密閉形冷凍機，日本冷凍協會。
[14]　熊則男、喬宗亮，回轉式壓縮機與泵-共軛件嚙合動態測試，機械工業出版社，1995。
[15]　劉庚寅，公差測量基礎與應用，機械工業出版社， 1996。
[16]　陳璟錞，組裝模擬與公差配置設計研究，中央大學機械工程研究所碩士論文，2006。
[17]　Steven C. Chapra, Applied Numerical Methods with MATLAB for Engineers and Scientists Second Edition, 2008.
[18]　費業泰，誤差理論與數據處理，第3版，機械工業出版社， 1994。
[19]　楊惠連，張濤，誤差理論與數據處理，天津大學出版社，1992。
[20]　劉鼎嶽、楊顯彰，機械製圖，大專機械製圖編輯委員會，文京圖書有限公司，1988。