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  1. NTU Theses and Dissertations Repository
  2. 工學院
  3. 機械工程學系
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/65065
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor范光照
dc.contributor.authorChih-Hsiung Wangen
dc.contributor.author王志雄zh_TW
dc.date.accessioned2021-06-16T23:20:02Z-
dc.date.available2015-08-10
dc.date.copyright2012-08-10
dc.date.issued2012
dc.date.submitted2012-08-01
dc.identifier.citation[1] Bryan, J.B., ABBE PRINCIPLE REVISITED - UPDATED INTERPRETATION. Precision Engineering-Journal of the American Society for Precision Engineering, 1979. 1(3): p. 129-132.
[2] 范光照、張郭益, “精密量測”, 台北, 高立圖書有限公司, 2004年5月三版。
[3] Fan, K.C., Generalized Study of Volumetric Error Analysis for NC Machine Tools and CMMS, Parts One-Mathematical Model. J. of CSME, 1989. 10(2): p. 135-144.
[4] Fan, K.C., Generalized Study of Volumetric Error Analysis for Machine Tools and CMMS, Part Two-Applications. J. of CSME, 1989. 10(2): p. 145-152.
[5] G. Zhang, R. Veale, T. Charlton, B. Borchardt, R, Hocken, Error compensation of coordinate measuring machines, Annals of CIRP, 34(1), p.445-448, 1985.
[6] Shaowei Zhua, Guofu Dinga, Shengfeng Qinb, Jiang Leia, Li Zhuanga, Kaiyin Yana, “Integrated geometric error modeling, identification and compensation of CNC machine tools”, International Journal of Machine Tools and Manufacture, 52(1), p. 24–29, 2012.
[7] ISO 230-6: 2002 Test code for machine tools – Part 6: Determination of positioning accuracy on body and face diagonals (Diagonal displacement test), an International Standard, by International Standards Organization, 2002.
[8] C. Wang, Laser vector measurement technique for the determination and compensation of volumetric positioning errors. Part 1: Basic theory. Review of scientific instruments, 71(10), p. 3933-3937, 2000.
[9] Chinh B.Bui, JoohoHwang, Chan-HongLee, Chun-HongPark, 'Three-face step-diagonalmeasurementmethodfortheestimation of volumetric positioning errors in a 3Dworkspace', International Journal of Machine Tools & Manufacture, vol60, p.40-43, 2012
[10] K.C. Fan, M.J. Chen, W.M. Huang, “A six-degree-of-freedom measurement system for the motion accuracy of linear stages”, International Journal of Machine Tools and Manufacture, 38(3), p.155-164, 1998.
[11] C. H. Liu, W. Y. Jywe, C.C. Hsu, and T. H. Hsu, Development of a laser-based high-precision six degree-of-freedom motion errors measurement system for linear stage. Rev. Sci. Instrum., 76(5), p. 1–6, 2005.
[12] I. Rahneberg, H.-J. Büchner, G. Jäger, Optical system for the simultaneous measurement of two-dimensional straightness errors and the roll angle, Proceedings of SPIE - The International Society for Optical Engineering, 7356, art. no.73560S, 2009.
[13] C. Kuang, Q. Feng, B. Zhang, B. Liu, S. Chen, Z. Zhang, A four-degree-of-freedom laser measurement system (FDMS) using a single-mode fiber-coupled laser module, Sensors and Actuators, A: Physical, 125(1), p.100-108, 2005.
[14] H.L. Huang, C.H. Liu, W.Y. Jywe, M.S. Wang, Y.R. Jeng, L.L. Duan, and T.H. Hsu, 'Development of a DVD pickup-based four-degrees- of-freedom motion error measuring system for a single-axis linear moving platform,' Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, 224(1): p. 37-50, 2009.
[15] C.H. Liu, H.L. Huang, and H.W. Lee, 'Five-degrees-of-freedom diffractive laser encoder,' Applied Optics, 48(14): p. 2767-2777, 2009.
[16] H.L. Huang, C.H. Liu, W.Y. Jywe, and M.S. Wang, 'High-resolution three-degrees-of-freedom motion errors measuring system for a single-axis linear moving platform,' Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, 223(1): p. 107-114, 2009.
[17] T-H Wang, “Development of an Abbé error compensator for NC machine tools,” Master Thesis, National Taiwan University, 2011.
[18] ChaBum Lee, Gyu Ha Kim and Sun-Kyu Lee, “Design and construction of a single unit multi-function optical encoder for a six-degree-of-freedom motion error measurement in an ultraprecision linear stage” , Measurement Science and Technology, 22 (10):P. 1-8, 2011
[19] 陳亮嘉, “電腦輔助切削中自動量測與補償系統之研製”, 國立台灣大學機械工程研究所碩士論文, 1990.
[20] Gangwei Cui, Yong Lu, Jianguang Li, Dong Gao and Yingxue Yao, “Geometric error compensation software system for CNC machine tools based on NC program reconstructing” , Int J Adv Manuf Technol, 2012
[21] M.A. Donmez, D.S. Blomquist, R.J. Hocken, C.R. Liu, and M.M. Barash, “A general methodology for machine tool accuracy enhancement by error compensation”, Precision Engineering, Vol.8, No.4, pp.187-196,1986.
[22] FANUC Series 20i-MODEL B, CONNECETION MANUAL(FUNCTION), Volume 3 of 3, pp. 1839-1851.
[23] K.C. Fan, “An intelligent thermal error compensation system for CNC machining Center,” J. of Chinese Society of Mechanical Engineers, Vol. 28, No. 1, pp. 81-90, 2007 .
[24] Lin, S.Y., “Development and applications of multi-degree-of-freedom angular error measurement system,” Master Thesis, National Taiwan University, 2010.
[25] THORLABS Co., “Collimated Visible Laser Diode Module CPS180”, http://www.thorlabs.com/NewGroupPage9.cfm?ObjectGroup_ID=1487
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/65065-
dc.description.abstract數控工具機的位置回授控制均是採用位移感測器(光學尺或編碼器)的單感測系統,但是其位移感測器所裝置處的量測軸線永遠無法和切削刀具在加工空間的運動軸線同軸。眾所周知,各軸移動時具有基本的六自由度幾何誤差(三線性三角度),其中偏角誤差更會因阿貝原理而放大,因此阿貝誤差是工具機定位誤差來源中主要的成因。
本研究利用微型自動視準儀偵測運動平台的俯仰度、偏搖度。另外利用兩支準直雷射搭配兩個四象限感測器,製作可量測滾動度誤差之感測器,上述可整合成一套同時量測三角度(pitch、yaw、roll)量測系統。
本研究的阿貝誤差補償系統將結合現有NC控制器的單感測系統以及自製的多角度感測器組成多感測回饋補償系統,即時量測運動平台之偏角誤差與阿貝偏位量,從而可動態補償工具機的阿貝誤差。在本研究中以立式三軸工具機為對象,依此結構配置、位置回授方式(光學尺)、阿貝誤差,推導體積誤差公式,針對PC-based控制器發展阿貝誤差補償器,透過原點漂移的方式補償阿貝誤差。本系統可建立於PC-based控制器內,使得數控工具機具有內藏式阿貝誤差補償系統的功能。
實驗結果可知,以光學尺作位置回授,其定位誤差主要是阿貝誤差造成,經過阿貝誤差補償器的補償後,其定位誤差可有效提升80%以上,工具機的精度可大幅改善。
zh_TW
dc.description.abstractThe position feedback control of current NC machine tool controllers all adopt displacement sensor (optical scale or encoder) as a single sensor system. This displacement sensor is, however, never in line with the motion axis of the cutter. It is known that each axis motion has inherent six degrees of geometrical errors, namely three linear and three angular errors, among which the angular errors being enlarged to cause the positioning error of the axis motion due to the well known Abbé principle.
In the measurement system, the micro autocollimator is developed for the detection of pitch and yaw angular errors. Moreover, a sensor that can measure the roll angular error is fabricated by use of two collimated laser and two quadrant detectors. Finally, the micro autocollimator and the roll sensor are integrated into three angle measurement system, which can measure pitch、yaw and roll angular errors.
This research aims at the development of three angular sensors and in corporation with the current NC control to develop an Abbé error compensation system, being an innovative multi-sensor feed-back compensation system. This system allows the machine tool to detect the angular error of each axis in real-time and the corresponding Abbé offsets so as to dynamically compensate for the Abbé error. Based on the 3-axis vertical machining center and position feedback type (light scale), the volumetric error for Abbé error is derived. In addition, the Abbé compensator for PC-based controller is also developed. This developed Abbé error compensation system is to be built in the NC controller to enhance the machine tool accuracy.
Experiments show that the positioning error of an investigated NC machine tool is mainly affected by Abbé error. With the proposed Abbé error compensation system, the positioning accuracy can be significantly improved to more than 80%
en
dc.description.provenanceMade available in DSpace on 2021-06-16T23:20:02Z (GMT). No. of bitstreams: 1
ntu-101-R99522701-1.pdf: 5768079 bytes, checksum: bd593781e660866f01035ce9330ab1e0 (MD5)
Previous issue date: 2012
en
dc.description.tableofcontents誌謝 i
摘要 ii
ABSTRACT iii
目錄 v
LIST OF FIGURES viii
LIST OF TABLES xi
第一章 緒論 1
1-1. 研究動機與目的 1
1-2. 文獻回顧 5
1-2-1. 體積誤差推導與檢測 5
1-2-2. 多自由度量測系統 7
1-2-3. 補償器設計 12
1-3. 研究方法與內容概要 13
第二章 三角度感測器 15
2-1. 量測系統的工作原理 15
2-1-1. 四象限感測器 15
2-1-2. Autocollimator量測原理 17
2-2. 量測系統架構 18
2-3. 俯仰度、偏搖度角度感測器 21
2-3-1. 微型Autocollimator 21
2-3-2. Autocollimator角度校正 22
2-3-3. 微型Autocollimator穩定性 24
2-4. 滾動度角度感測器 25
2-4-1. 滾動度量測原理 25
2-4-2. 滾動度系統校正 26
2-4-3. 滾動度穩定性 28
2-5. 數控工具機X、Y軸三角度組裝 29
2-5-1. 雙角度比對實驗 29
2-5-2. 滾動度比對實驗 31
第三章 阿貝誤差補償器的設計 34
3-1. 系統架構 34
3-2. 嵌入式微處理機簡介 36
3-3. PC-BASED控制器的補償方式 37
3-3-1. 機械座標讀取 37
3-3-2. 原點飄移寫入(補償值輸入) 38
第四章 體積誤差公式推導 40
4-1. 前言 40
4-2. 阿貝偏位 42
4-3. 體積誤差公式 45
4-4. 阿貝誤差對三軸定位誤差的影響 47
第五章 阿貝誤差實驗驗證 49
5-1. 定位誤差驗證 49
5-1-1. 桌上型工具機_X軸 49
5-1-2. 桌上型工具機_Y軸 53
5-1-3. 桌上型工具機_Z軸 58
5-1-4. X、Y軸斜對角定位誤差 60
5-1-5. XY平面阿貝誤差 63
5-2. 實際切削驗證 66
5-2-1. 平面鑽孔實驗 66
5-2-2. 精度驗證ISO 10791-7 68
第六章 結論與未來展望 71
6-1. 結論 71
6-2. 未來展望 72
參考文獻 73
dc.language.isozh-TW
dc.title三軸數控工具機阿貝誤差補償器之研製zh_TW
dc.titleDevelopment of an Abbé error compensator for 3-axis NC machine toolsen
dc.typeThesis
dc.date.schoolyear100-2
dc.description.degree碩士
dc.contributor.oralexamcommittee陳亮嘉,修芳仲
dc.subject.keyword阿貝誤差,體積誤差,三角度感測器,阿貝誤差補償器,zh_TW
dc.subject.keywordAbb&eacute,error,volumetric error,three angle sensor,3 DOF measuring system,Abb&eacute,error compensator,en
dc.relation.page75
dc.rights.note有償授權
dc.date.accepted2012-08-01
dc.contributor.author-college工學院zh_TW
dc.contributor.author-dept機械工程學研究所zh_TW
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