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博碩士論文 etd-0708103-213334 詳細資訊
Title page for etd-0708103-213334
論文名稱
Title
便於加工的圓弧齒廓傘齒輪之設計
A Design on the Bevel Gear with Circular-Tooth Profiles for Manufacturing
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
62
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
2003-06-26
繳交日期
Date of Submission
2003-07-08
關鍵字
Keywords
干涉、傘齒輪、圓弧齒廓、齒輪
gear, bevel gear, circular-arc tooth profiles, interference
統計
Statistics
本論文已被瀏覽 5660 次,被下載 3048
The thesis/dissertation has been browsed 5660 times, has been downloaded 3048 times.
中文摘要
傘齒輪在交叉軸的傳動系統中,使用得相當普遍,但大都侷限於漸開線齒廓。若能將W-N齒輪的圓弧齒廓,應用在傘齒輪上,相信可以藉由一凹一凸的配合,增加接觸面積,提高齒輪的負載能力及延長齒輪壽命。
「圓弧齒廓傘齒輪」為郭修銘先生與蔡穎堅教授於2001年所提出,依據共軛嚙合理論、座標轉換與嚙合拘束方程式,推導出具共軛傳動特性之點接觸路徑,並結合球面圓弧曲線,與球面三角幾何之特性,建構出具圓弧齒廓之傘齒輪組。相較於漸開線齒廓,圓弧齒廓雖然以點接觸的形式嚙合傳動,但因為兩齒面的圓弧半徑相近,可增加齒面的接觸區域,藉以提高齒輪組的負載能力。然而卻有加工不易的缺點。本論文修改郭修銘先生對於圓弧齒廓的設計,創造出具對數蝸線接觸路徑的圓弧齒廓傘齒輪,降低加工成本,以提高圓弧齒廓傘齒輪的工程價值。
本文亦應用隱函數的方式,進行齒面的干涉檢查,判斷是否有干涉現象的發生,以驗證圓弧齒廓傘齒輪之可行性。
最後,本文亦將所建構的圓弧齒廓傘齒輪,及其加工用成形磨輪,以Pro/Engineer 電腦輔助設計軟體建構出電腦實體模型。相信本文對於圓弧齒廓傘齒輪之設計,提供了一可行的數學模式及設計方法,以作為進一步研究的基礎。
Abstract
The bevel gears have been widely used for the intersected-axial transmission system for a long time. But mostly them are limited in the category of involute tooth profiles. It is believed that bevel gears with circular-arc tooth profile, similar to the Wildhaber-Novikov circular-arc helical gears, will improve the load capacity of the gear set. The bevel gears with circular-arc tooth profiles was firstly proposed by Kuo and Tsai in 2001. Although these new type of bevel gears can increase the load capacity of transmission, the expensive manufacturing process is still the problem.
In this paper, the design parameters of bevel gear with circular-arc profiles developed by Kuo and Tsai are modified. Bevel gear set with spiral point contact path is developed. This improvement makes it possible to manufacturing the newly developed bevel gears in just a simple milling or/and grinding process with circular cutting edges. The manufacturing process is then cost down quit a lot. A method for checking the gear interference is also proposed.
Finally, the 3D solid models of the bevel gear with circular-arc tooth profiles as well as the grinding wheel are constructed by using the computer software “Pro/E”. It is believed that the mathematical models and the design method developed in the thesis will provide a useful foundation for the further studies.
目次 Table of Contents
目錄 I
圖目錄 III
摘要 V
Abstract VI
符號說明 VII
第一章 緒論 1
1-1 研究背景及目的 1
1-2 文獻回顧 2
1-3 論文組織及章節 3
第二章 齒輪製造方式 4
2-1 直齒傘齒輪加工方式 4
2-2 蝸線傘齒輪加工方式 6
2-3 W-N 齒輪加工方式 8
2-4 便於加工的圓弧齒廓傘齒輪應具備的條件 10
第三章 圓弧齒廓傘齒輪數學模式推導 11
3-1 嚙合拘束方程式 11
3-2 接觸路徑參數式 14
3-3 圓弧齒廓傘齒輪數學模式建立 15
3-3-1 圓錐型圓弧齒廓 17
3-3-2 圓柱型圓弧齒廓 24
3-3-3 橢圓柱型圓弧齒廓 29
3-4 共軛齒形參數式驗證 32
第四章 干涉檢查 35
4-1 干涉檢查方法 36
4-2 二次曲面隱函數 38
4-3 隱函數的座標轉換 40
4-4 圓弧齒面的隱函數式 41
4-5 干涉檢查程式 43
第五章 齒輪建構 46
5-1 圓弧齒廓傘齒輪組建構流程 46
5-2 程式撰寫 48
5-3 齒輪組建構 50
5-4 接觸路徑與圓弧之比較 56
5-5 加工方式建議 56
第六章 結論與建議 59
參考文獻 60
參考文獻 References
Chironis, N. P., 1971, Gear Design and Application, McGraw-Hill, New York.
Colbourne, J. R., 1989, “The Contact Stress in Novikov Gears,” Mechanism and Machine Theory, Vol.24, No.3, pp.223-229.
Dudley, D. W., 1984, Handbook of Practical Gear Design, McGraw-Hill, New York.
Emert, R. H., 1996, Gears and Gear Manufacture, Chapman & Hall, New York.
Evans, H. P., and Snidle, R. W., 1993, “Wildhaber-Novikov Circular Arc Gears: Elastohydrodynamics,” Journal of Tribology, Vol.115, pp.478-492.
Ishibashi, A., and Yoshino, H., 1985, “Power Transmission Efficiencies and Friction Coefficients at Teeth of Novikov-Wildhaber and Involute Gears,” Journal of Mechanisms, Transmissions, and Automation in Design, Vol.107, pp.74-81.
Litvin, F. L., and Tsay, C. B., 1985, “Helical Gears with Circular Arc Teeth: Simulation of Conditions of Meshing and Bearing Contact,” ASME Journal of Mechanisms, Transmission, and Automation in Design, Vol.107, pp.556-564.
Litvin, F. L., 1989, Theory of Gearing, NASA Reference Publication, 1212, AVSCOM Technical Report, 88-C-035.
Litvin, F. L., 1994, Gear Geometry and Applied Theory, PTR Prentice Hall, Englewood Cliffs, New Jersey.
Novikov, M. L., 1956, USSR Patent, No.109,750.
Sung, L. M., and Tsai, Y. C., 1997, “A Study on the Mathematical Models and Contact Ratios of Extended Cycloid and Cycloid Bevel Gear Sets,” Mechanism and Machine Theory, Vol.32, No.1, pp.39-50.
Tsai, Y. C., and Chang, H. L., 1990, “Parametric Tooth Profiles for Bevel Gears,” Proceedings of the 1990 ASME Design Technical Conferences-2nd Conference in Flexible Assembly Systems, Chicago, pp.5-16.
Tsai, Y. C., and Sung, L. M., 1993, “A Kinematic Study for Gear Sets with Skew Axes,” Journal of Applied Mechanisms and Robotics, Vol.1, No.1, pp.36-44.
Tsai, Y. C., and Jehng, W. K., 1998, “Curvature Analysis and Synthesis of Skew Gear Sets with Kinematic Parametric Models,” Transactions of the Canadian Society for Mechanical Engineering, Vol.22, No.4A, pp.341-368.
Tsai, Y. C., and Jehng, W. K., 1999, “Kinematics Parametric Method to Generate New Tooth Profiles of Gear Sets with Skew Axes,” Mechanism and Machine Theory, Vol.34, No.6, pp.857-876.
Tsay, C. B., and Fong, Z. H., 1989, “Tooth Contact Analysis for Helical Gear with Pinion Circular Arc Teeth and Gear Involute Shaped Teeth,” ASME Journal of Mechanisms, Transmission, and Automation in Design, Vol.111, pp.278-284.
Tsay, C. B., 1994, “A Study on the Contact of the Wildhaber-Novikov Gear,” Journal of the Chinese Society of Mechanical Engineers, Vol.15, No.2, pp.109-117.
Wei, Y. L., Kato, M., Wen, S. Z., Cao, X. J., and Wang, J., 1991, “Design of Hourglass Worm Gearing on the Stand Point of Improving Lubricating Ability,” JSME, International Conference on Motion and Power Transmissions, Nov.23~26, Hiroshima, Japan, pp.1118-1122.
Wildhaber, E., 1926, US Patent, No.1,601,750, Oct.5.
宋立民,1995,歪斜軸齒輪組參數化共軛齒形之研究,博士論文,國立中山大學機械工程學系,高雄。
林忠運,1996,蝸線傘齒輪及戟齒輪之電腦輔助製造,博士論文,國立交通大學機械工程學系,新竹。
金佩傑,1986,傘齒輪齒面幾何之研究,碩士論文,國立中山大學機械工程學系,高雄。
張慧隆,1991,正齒輪與傘齒輪參數化齒形之研究,博士論文,國立中山大學機械工程學系,高雄。
郭修銘,2001,圓弧齒廓傘齒輪之研究,碩士論文,國立中山大學機械工程學系,高雄。
楊育峰,2001,歪斜軸齒輪組齒形幾何之研究,碩士論文,國立中山大學機械工程學系,高雄。
鄭文魁,1999,歪斜軸齒輪組之齒形研究,博士論文,國立中山大學機械工程學系,高雄。
蔣君宏,1970,機構學,正中書局,台北。
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