中大機構典藏-NCU Institutional Repository-提供博碩士論文、考古題、期刊論文、研究計畫等下載:Item 987654321/55795
English  |  正體中文  |  简体中文  |  全文筆數/總筆數 : 80990/80990 (100%)
造訪人次 : 43594459      線上人數 : 939
RC Version 7.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
搜尋範圍 查詢小技巧：
  • 您可在西文檢索詞彙前後加上"雙引號"，以獲取較精準的檢索結果
  • 若欲以作者姓名搜尋，建議至進階搜尋限定作者欄位，可獲得較完整資料
    •  進階搜尋


    請使用永久網址來引用或連結此文件: http://ir.lib.ncu.edu.tw/handle/987654321/55795


    題名: 曲線齒輪之齒形修整研究;A Study on the Tooth Modification of Curvilinear Cylindrical Gears
    作者: 陳怡呈
    貢獻者: 中央大學機械工程學系
    關鍵詞: 機械工程類;曲線齒輪;微分幾何;齒形修整;運動誤差;齒形過切;齒頂變尖;Curvilinear Gears;Differential Geometry;Tooth Modification;KinematicError;Tooth Undercutting;Tooth Pointing
    日期: 2008-09-01
    上傳時間: 2012-10-01 11:31:03 (UTC+8)
    出版者: 行政院國家科學委員會
    摘要: 曲線齒圓柱型齒輪 (Curvilinear Cylindrical Gears，以下簡稱為曲線齒輪)與正齒輪及螺旋齒輪相比，具有較高的彎曲強度與抗壓強度。曲線齒輪之齒面有利於潤滑油殘留，故有較佳之潤滑性，而且沒有螺旋齒輪的軸向推力問題，所以十分適用於高負載及精密的平行軸傳動。近年來雖有學者進行曲線齒輪之研究，但大多數的研究是針對直邊刀具所創成之曲線齒輪，其最大的問題在於當有軸向裝配誤差存在時，一般之曲線齒輪組將會有不連續的運動誤差(Discontinuous Kinematic Error)產生，或是造成高接觸應力的齒緣接觸(Edge Contact)現象。為了解決上述問題，本研究計畫將提出具齒形修整之曲線齒輪，使用具圓弧狀法向剖面之刀具，對所創成之曲線齒輪將造成齒形修整效果。當使用此新型曲線齒輪在曲線齒輪對之傳動時，會產生連續性拋物線形的運動誤差(Parabolic-Shaped Kinematic Error)效果，且接觸點將落於齒面中央區域，即使在齒輪組存在軸向裝配誤差之下，也不會產生齒緣接觸或是不連續的運動落差，可大幅提升齒輪組之壽命並降低振動與噪音，此為本研究之最大貢獻之處。本專題研究計畫為一年期之研究計畫，首先將依據具圓弧狀法向剖面之刀具與曲線齒輪的實際切削機構，建立三維假想齒條刀的刀面數學模式；然後，基於齒輪原理及微分幾何的觀念，推導出具齒形修整之曲線齒輪的齒面幾何數學模式。通常在較小之壓力角或是小齒數情況下，很容易在被創成齒面產生過切(Undercutting)現象，造成齒根應力集中並降低接觸率。因此，本計畫將利用所建立之齒面數學模式，進一步推導出發生齒面過切的條件式，計算在創成時齒面發生奇異點的位置，也就是具齒形修整之曲線齒輪齒面上的過切線，並探討在不同設計參數下避免發生齒面過切的最小齒數。此外，本研究計畫也將進行具齒形修整之曲線齒輪的轉位分析，以及推導齒頂變尖(Tooth Pointing)的條件式；深入探討此新型齒輪之壓力角、齒數、刀盤半徑、刀具法向剖面半徑與轉位係數等設計參數，與齒頂變尖以及齒面過切發生的關係式，並將其電腦程式化，以供齒輪設計時之參考。最後，本研究將使用交通大學機械系的滾齒機，配合訂製刀具與所設計的夾治具，實際切製所提出之具齒形修整的曲線齒輪；同時也將借用工研院機械所之齒面量測儀器，量測所切製齒形之精度，並與先前推導之理論齒面數學模式互相驗證且比較之間差異，以提供工業界實際製造時機器與刀具參數選定之參考依據。本研究計畫所發展出之數學模式亦可以作為未來針對具齒形修整之曲線齒輪組之齒面接觸分析、接觸率計算、曲率分析、接觸橢圓以及有限元素分析等相關後續研究之基礎。 ; Compared with spur gears and helical gears, curvilinear cylindrical gears have better bending strength and contact strength. The tooth profiles of curvilinear gears are advantageous for retaining lubrication oil, and unlike helical gears, curvilinear gears do not exert axial thrust load. Therefore curvilinear gears are very suitable for precise parallel-axes transmission with high loading. Although there are a few research about this type of gears, most of these research focused on curvilinear gears generated by straight-edged cutters. When there are axial misalignments, conventional curvilinear gear sets will have problems such as discontinuous kinematic errors or edge contact with extremely high contact stress. To solve the above mentioned problems, this research project proposes a new type of curvilinear gears with tooth modifications which are generated by tools with circular-arc normal sections. When utilizing this new type of curvilinear gears, it will introduce inherent continuous parabolic-shaped kinematic errors and localized bearing contact in the middle of gear tooth. Consequently, neither edge contact nor discontinuous kinematic errors will occur even under axial misalignments. The service lives of the curvilinear gear sets will increase, and the vibrations and noises will be reduced. These are the main contributions of this proposed research. This research project is a one year project. First, the mathematical model of an imaginary three-dimensional rack cutter will be derived according to the cutter with circular-arc normal section and the practical cutting mechanisms of curvilinear gears. Then, the mathematical model of curvilinear gears with tooth modifications can be derived based on the theory of gearing and differential geometry. Generally, tooth undercutting will occur under small gear teeth number or small pressure angles. Therefore, using the derived mathematical model, this project will derive the equations of tooth undercutting and also calculate the positions of singular points on the generated gear tooth profiles. We will also study the smallest teeth number without tooth undercutting under various design parameters. Besides, this research will also explore the tool shifting and equations of tooth pointing. The conditions of tooth undercutting and tooth pointing will be studied with many design parameters, including pressure angle, teeth number, cutter disk radius and radius of the cutter normal section. Computer programs will also be developed according to the derived mathematical equations, and these will be very helpful for gear engineers. Finally, we will design and order gear cutters and fixtures, and use the CNC hobbing of National Chiao Tung University to manufacture the proposed curvilinear gears with tooth modifications. Moreover, the tooth profiles can be inspected by using the gear profile measurement machine at Industrial Technology Research Institute, and the measured data can be compared with the theoretical mathematical models. The results will be very valuable references for the gear manufacture industry. ; 研究期間 9710 ~ 9807
    關聯: 財團法人國家實驗研究院科技政策研究與資訊中心
    顯示於類別:[機械工程學系] 研究計畫

    文件中的檔案:

    檔案 描述 大小格式瀏覽次數
    index.html0KbHTML228檢視/開啟


    在NCUIR中所有的資料項目都受到原著作權保護.

    社群 sharing

    ::: Copyright National Central University. | 國立中央大學圖書館版權所有 | 收藏本站 | 設為首頁 | 最佳瀏覽畫面: 1024*768 | 建站日期：8-24-2009 :::
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - 隱私權政策聲明