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博碩士論文 etd-0727114-211618 詳細資訊
Title page for etd-0727114-211618
論文名稱
Title
擺動圓柱凸輪驅動鍛壓肘節機構合成與分析
Synthesis and Analysis of Toggle Cutting Mechanisms Driven by Cylindrical Cams
系所名稱
Department
畢業學年期
Year, semester
語文別
Language
學位類別
Degree
頁數
Number of pages
139
研究生
Author
指導教授
Advisor
召集委員
Convenor
口試委員
Advisory Committee
口試日期
Date of Exam
2014-07-31
繳交日期
Date of Submission
2014-08-27
關鍵字
Keywords
肘節機構、剛體轉置法、圓柱凸輪、有理式B仿線
Cylindrical Cams, Rigid Body Transformation, Toggle Mechanisms, Rational B-splines motion
統計
Statistics
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中文摘要
本文旨在使擺動圓柱凸輪驅動鍛壓肘節機構,應用於連續鍛壓運動機構的相關產業自動化設備中。首先,透過擺動圓柱凸輪輸入軸與其從動件之運動曲線函數關係,利用剛體轉置法進行凸輪幾何設計與分析,確認圓柱凸輪之機械特性,接著由凸輪機構從動件輸出軸作為驅動鍛壓肘節驅動桿件,利用向量解析法,求取肘節機構桿件和接頭的運動,即得裁模的運動情形。
本機構作動目的為提供裁模提供足夠之裁切力,由裁模作動所需裁切力,分析驅動肘節機構所需驅動力及各支座所需承受之支座反力,進而推算圓柱凸輪與其從動件的傳遞力,得到驅動圓柱凸圓輸入軸的所需動力。
最後針對裁模作動與拖紙機構負載的關係,利用有理式B仿線調整裁模運動位置時序規劃,並調整圓柱凸輪半徑、擺角初值、擺臂長度等參數設計分析,以降低所需輸入動力,以求得高速且重負載運動特性驅動鍛壓肘節機構。
Abstract
A toggle cutting mechanisms driven by cylindrical cam is presented, which is used in automatic die-cutting machine. First of all, to synthesize the follower motion curves of cylindrical cam, based on the rigid body transformation, the cam profiles and the properties of the cam mechanisms can be determined. In addition, the toggle cutting mechanisms is driven by the follower of cylindrical cam. Based on the vector operation, the motion of links and pins are analyzed. That is kinematics analysis of toggle cutting mechanisms.
Since the main function of this mechanism is to provide working cutting force, from analyzing the driving force of toggle mechanism and each bearing reaction forces, based on to the cutting force from cutting action, the transmission forces between cylindrical cam and its follower is calculated and the power required by this mechanism is determined.
Furthermore, refer to the load of cardboard conveyor, through applying the rational B-splines to tune time sequence of the toggle cutting mechanisms and using different design parameters, such as the radius of the cylindrical cam, initial angle of follower and arm of follower, the power required of this mechanism is reducing and the high working speed and load toggle cutting mechanisms are investigated.
目次 Table of Contents
論文審定書 i
誌謝 ii
中文摘要 iii
英文摘要 iv
圖次 vii
表次 xiii
符號說明 xiv
第一章 緒論 1
1.1 研究動機與目的 1
1.2 專利與文獻回顧 5
1.3 研究方法與假設 6
1.4 論文架構 7
第二章 凸輪外廓推導與肘節機構運動分析 8
2.1 機構簡介 8
2.2 自由度探討 11
2.3 擺動圓柱凸輪運動分析 12
2.4 幾何分析 15
2.4.1 求取凸輪外廓壓力角 18
2.4.2 求取凸輪外廓主曲率半徑 18
2.5 肘節機構旋轉運動分析 21
2.5.1 凸輪機構與肘節機構的運動關係 21
2.5.2 肘節機構桿件旋轉運動之位移分析 22
2.5.3 肘節機構旋轉運動之角速度分析 26
2.5.4 肘節機構旋轉運動之加速度分析 28
2.6 肘節機構桿件接頭與質心之運動分析 31
第三章 動力分析 37
3.1 肘節機構動力分析 37
3.2 擺動圓柱凸輪動力分析 54
第四章 實例分析 59
4.1 擺動圓柱凸輪實例分析 59
4.2 肘節機構實例分析 71
第五章 結論 113
參考文獻 115
附 錄 運動曲線 117
參考文獻 References
[1]德國印刷設備製造商, Heidelberg, http://www.heidelberg.com/
[2]瑞士印刷設備製造商, Bobst, http://www.bobst.com/
[3]臺灣印刷設備製造商, 順盈機械股份有限公司, http://www.sbl.tw/
[4]英國印刷設備製造商, Sanwa, http://www.sanwa-europe.com/
[5]美國印刷設備製造商, Bernal, http://www.bernalrotarydies.com/
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[8]Vegue, D. G., 1991, “Machines for Handling or Working Materials in Laminar or Sheet Form” United States Patent 5176075.
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[10]Rothbart, H. A., 2003, Cam Design Handbook, McGraw-Hill, Inc., New York.
[11]Norton, R. L., 2002, Cam Design and Manufacturing Handbook, Industrial Press, Inc., New York.
[12]Reeve, J. E., 1995, Cams for Industry, IMechE, Mech. Eng. Publishers, London.
[13]Chen, F. Y., 1982, Mechanics and Design of Cam Mechanisms, Pergamon Press, New York.
[14]Neklutin, C. N., 1969, Mechanisms and Cams for Automatic Machines, American Elsevier Publishing Company, Inc., New York.
[15]Cox, M. G., 1972, “The Numerical Evaluation of B-Splines,” Journal of Applied Mathematics, Vol. 10, pp. 134-149.
[16]de Boor, C., 1972, “On Calculating with B-Splines,” Journal of Approximation Theory, Vol. 6, pp.50-62.
[17]de Boor, C., 2001, A Practical Guide to Splines, Springer-Verlag, New York.
[18]Sanchez, M. N. and Jalon, J. G., 1980, “Application of B-Spline Functions to the Motion Specification of Cams,” ASME pap. 80-DET-28.
[19]Tsay, D. M. and Huey, C. O., Jr., 1993, “Application of Rational B-Splines to the Synthesis of Cam-Follower Motion Programs,” ASME Journal of Mechanical Design, Vol. 115, pp. 621-626.
[20]Tsay, D. M. and Lin, B. J., 1995, “Geometric Improvement on Ribbed Globodial Cams for Unsymmetrical Motion Controls,” ASME Proc. The Computers in Engineering Conference and the Engineering Database Symposium, pp.973-978.
[21]Churchill, F. T. and Hanson, D. R. S., 1962, “Theory of Envelope Provides New Cam Design Equations,” Product Engineering, Aug. 20, pp. 45-55.
[22]Blackhouse, C. J. and Rees J. J., 1990, “Envelope Theory Applied to Globoidal Cam Surface Geometry,” IMechE J. Mech. Engng Science, Vol. 204, pp. 409-416.
[23]Tsay, D. M. and Hwang, G. S., 1994, “The Profile Determination and Machining of Camoid with Oscillating Spherical Followers,” ASME Journal of Engineering for Industry, Vol. 116 No. 1, pp. 355-362.
[24]Tsay, D. M. and Wei, H. M., 1996, “A General Approach to the Determination of Planar and Spatial Cam Profiles,” ASME Journal of Mechanical Design, Vol. 118, pp. 259-265.
[25]Chakraborty, J., Bhadoria, B. S., and Dhande, S. G., 1975, “A Unified Approach to the Analytical Design of Three-Dimensional Cam Mechanisms,” ASME Journal of Engineering for Industry, pp. 327-333.
[26]Chakraborty, J. and Dhande, S. G., 1977, “Kinematics and Geometry of Planar and Spatical Cam Mechanisms,” John Wiley & Sons Inc., New York.
[27]Tsay, D. M. and Lin B. J., 1996, “Profile Determination of Planar and Spatial Cams with Cylindrical Roller-Followers,” IMechE. Vol. 210, pp. 565-574.
[28]Stoker, J. J., 1969, Differential Geometry, John Wiley & Sons, New York.
[29]Roger, D. F. and Adams, J. A., 1990, Mathematical Elemetns for Computer Graphics, 2nd Edition, McGraw-Hill Inc., New York.
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