簡易檢索 / 詳目顯示

研究生: 唐瑞宏
Tang, Jui-Hung
論文名稱: ACXYZ五軸工具機幾何誤差
The Analysis of Geometric Errors of a ACXYZ 5-Axis Machine Tool
指導教授: 林昌進
Lin, Psang Dain
學位類別: 碩士
Master
系所名稱: 工學院 - 機械工程學系
Department of Mechanical Engineering
論文出版年: 2016
畢業學年度: 104
語文別: 中文
論文頁數: 81
中文關鍵詞: 修正型D-H座標設定法則五軸工具機
外文關鍵詞: Denavit-Hartenberg notation
相關次數: 點閱:127下載:14
分享至:
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
  • 在工業技術越來越發達的現在,對各種產品的設計與製造要求越求精密,而工具機的精度就是最直接影響到產品品質的主要原因,因此對工具機的誤差量測及補償就是相當重要的。
    本文旨在對五軸工具機進行誤差的量測模擬與分析,在第二章,我們利用修正型D-H座標設定法則,對該五軸工具機各軸進行建模,定義各軸之間的齊次座標轉換矩陣,並得到刀具相對於工件原點的轉換矩陣,再利用逆向運動學推得五軸工具機轉換矩陣的參數,以利誤差量測與分析。第三章利用第二章得到的轉換矩陣與參數,配合NC程式的轉換,得到刀具與工件座標系的轉換關係,與影響NC數值函數的兩個主動參數。最後進行六次位姿量測,求出工件座標原點與兩個主動參數的值,以便進行誤差補償與工件原點定位。第四章對刀具的轉換矩陣做泰勒級數展開,得到各誤差參數的靈敏度,可以找出對誤差造成較大影響的參數,再經由幾種誤差量測方法,以便對影響較大的誤差參數進行量測。
    本文對五軸工具機各誤差參數進行定義與分析,並經由線上量測與幾種誤差量測方法,將來可以對其進行誤差補償,以提高工具機的加工精密度與效率。

    In the thesis, we focus on how to measure and analyze the errors of the 5-axis machine tools. First, we apply modified Denavit-Hartenberg notation to define the machine tools. After six times measurement of the different cutter position, we can find out the origin of the coordinate of workpiece and two error parameters. Second, we probe the parameters of the transformation matrix by applying Taylor series expansion. Hence we can find out the influence of the parameters on machine tools. Finally, we introduce two ways that were used well in industry to measure the errors.

    目錄 摘要 I 目錄 VIII 圖目錄 XI 表目錄 XIII 符號說明 XIV 第一章 緒論 1 1.1前言 1 1.2五軸工具機 2 1.3齊次座標轉換 4 1.4文獻回顧 10 第二章 多軸工具機之建模 12 2.1簡介 12 2.2五軸工具機簡介 13 2.3修正型D-H座標設定法則 14 2.4五軸工具機之正向運動學 18 2.5工具機逆向運動學 26 第三章 NC程式與參數量測 29 3.1簡介 29 3.2五軸工具機之初始偏置量 29 3.3工具機NC數值函數 32 3.4線上量測與NC值關係 33 3.5主動參數與工件原點之量測 34 第四章 幾何誤差分析 47 4.1簡介 47 4.2工具機的幾何誤差以及運動誤差 47 4.3工具機的體積誤差分析 49 4.4幾何誤差分析 49 4.4.1第一軸的幾何誤差分析 54 4.4.2第二軸的幾何誤差分析 55 4.4.3第三軸的幾何誤差分析 57 4.4.4第四軸的幾何誤差分析 58 4.4.5第五軸的幾何誤差分析 59 4.4.6第六軸的幾何誤差分析 60 4.5誤差分析 61 4.6誤差參數量測 67 4.6.1兩個主動參數的量測 67 4.6.2三個平移軸的定位誤差參數量測 68 4.6.3垂直度誤差與角度誤差 69 4.6.4雙球桿循圓量測(DBB) 73 第五章 結論與未來展望 77 5.1結論 77 5.2未來展望與討論 78 參考文獻 79

    1. Austin, T.C., Denavit, J., and Hartenberg, R.S.,"Analysis of Errors in the Double Hooke Joint",ASME, J. Engng. Ind., Series B,Vol.87,No.2,pp. 251-258,1965
    2. Chen, J., Wang, C.B., and Yang, J.C.S.,"Robot Position Accuracy Improvement through Kinematic Parameter Identification",Third Canadian CAD/CAM Robot Conference. Toronto, Canada,pp.4.7-4.12,1985
    3. Denavit, J. and Hartenberg, R.S.,"A Kinematic Notation for Lower Pair Mechanisms Based on Matrices",ASME,, J. of appliedmechanics,Vol.22, Vol. 77,pp. 215-221, 1955
    4. Dhande, S.G. and Chakraborty, J.,"Mechanical Error Analysis of Spatial Linkages",ASME, J. Engng. Ind.,Vol. 95,No. 3,pp. 670-675,1973
    5. Dőnmez, M.A.,"A general Methodology for Machine Tool Accuracy Enhancement by Error Compensation",Precision Engineering,Vol. 8(4),1986
    6. Ehmann, K.F. and Wu, B.T.,"A Generalized Geometric Error Model for Multi-axis Machine",Annals of the CIRP,Vol 36,No.1,pp.253-256,1987.
    7. Hartenberg, R.S. and Denavit, J.,"Kinematic Synthesis of Linkages",McGraw-Hill, New York,1964
    8. Knapp, W.,"Circular Test for Three Coordinate Measuring Machine Tools",Precision Engineering,Vol. 5,No. 3,pp. 115-124,1983.
    9. Knapp, W.,"Accuracy of Length Measurement and Positioning : Statical Measurement and Contouring",Annals of CIRP,Vol.37,No. 1,pp.511-514,1988.
    10. Liu, C.H., et al.,"Development of a laser-based high-precision six-degrees-of-freedom motion errors measuring system for linear stage",Review of Scientific Instruments,76,5,055110,2005
    11. Lin, P.D. and Ehmann, K.F.,"Error Analysis, Measurement and Compensation for Multi-axis Machines",Ph.D. Thesis, Northwestern University. Evanston, Illinois,1989
    12. Lee, S.W., Mayor, R., and Ni, J.,"Development of a Six-Degree-of-Freedom Geometric Error Measurement System for a Meso-Scale Machine Tool",Journal of Manufacturing Science and Engineering,127,4,857,2005
    13. Lin, P.D. and Chu, Min Ben, “Machine Tool Settings for Manufacturing of Cams with flate-face Followers”, International Journal of Machine Tools & Manufacture,Vol.34,No.8,pp.1120-1131,1994.
    14. Lin, P.D. and Chian Sheng Tzeng, “New Method for Determination of the Pose of the Grinding Wheel for Thinning Drill Points”, International Journal of Machine Tools & Manufacture, Vol.47,No.15,pp.2218-2228,2007.
    15. Rao,S.S. and Ambekar, A.G.,” Mechanical Error Analysis of Spherical Function Generating Mechanism: A Probabilistic Approach",ASME Paper no. 74-DET-15,1974
    16. Schultschik, R.,"The Components of Volumetric Accuracy", Annals of CIRP,Vol.26,1977
    17. Tavkhelidze, D.S., Davitashvili, N.S., and Demurishvili, N.V.,"The Determination of Technological Error in Spherical 4-linkaged Mechanism",Mechanism and machine theory,Vol. 14,No.l,pp.43-59,1979
    18. Tutunea-Fatan, O.R., Feng, H.Y.,”Configuration Analysis of Five-Axis Machine Tools Using a Generic Kinematic Model”, International Journal of Machine Tools & Manufacture, Vol.44, Iss.11,pp. 1234-1243, 2004.
    19. Wang, S.M. and Ehmann, K.F.,"Measurement Method for the Position Errors of a Multi-axis Machine. Part I: Principles and Sensitivity Analysis",International Journal of Machine Tools & Manufacture,Vol. 39(6),1999.
    20. Wang, S.M. and Ehmann, K.F.,"Measurement Method for the Position Errors of a Multi-axis Machine. Part II: Applications and Experimental Results",International Journal of Machine Tools & Manufacture,Vol. 39(9),1999.
    21. 范光照 and 張郭益,"精密量具及機件檢驗",高立出版社,1998
    22. 曾乾生,”Ewag 六軸CNC工具磨床之研究”,國立成功大學機械工程研究所,碩士論文, 2002.
    23. 王麒翔,”電腦數控工具機最適控制參數調整技術發展與應用”,國立台北科技大學,碩士論文,2015.

    下載圖示 校內:2021-07-22公開
    校外:2021-07-22公開
    QR CODE