博碩士論文 973203009 詳細資訊




以作者查詢圖書館館藏 以作者查詢臺灣博碩士 以作者查詢全國書目 勘誤回報 、線上人數:6 、訪客IP:3.235.108.188
姓名 古鳴倫(Ming-Lune Gu)  查詢紙本館藏   畢業系所 機械工程學系
論文名稱 具齒形修整之圓弧形曲線齒輪接觸分析
(Tooth Contact Analysis of a Curvilinear Gear Set with Modification)
相關論文
★ G10液晶玻璃基板之機械手臂牙叉結構改良與最佳化設計★ 線性齒頂修整對正齒輪之傳動誤差與嚙合頻能量影響分析
★ 以互補型盤狀圓弧刀具創成之曲線齒齒輪有限元素應力分析★ 修整型曲線齒輪對齒面接觸應力與負載下傳動誤差之研究
★ 衛載遙測取像儀反射鏡加工缺陷檢測與最佳光學成像品質之運動學裝配設計★ 應用經驗模態分解法於正齒輪對之傳動誤差分析
★ 小軸交角之修整型正齒輪與凹面錐形齒輪組設計與負載下齒面接觸分析★ 修整型正齒輪對動態模擬與實驗
★ 應用繞射光學元件之齒輪量測系統開發★ 漸開線與切線雙圓弧齒形之諧波齒輪有限元素分析與齒形設計
★ 創成螺旋鉋齒刀之砂輪輪廓設計與最佳化★ 動力刮削創成內正齒輪之刀具齒形輪廓最佳化設計
★ 非接觸式章動減速電機結構設計與模擬★ Helipoid齒輪接觸特性研究與最佳化分析
★ 高轉速正齒輪之多目標最佳化與動態特性分析★ 運用主成分分析於加速規訊號模擬壓力中心之人體靜態平衡評估
檔案 [Endnote RIS 格式]    [Bibtex 格式]    [相關文章]   [文章引用]   [完整記錄]   [館藏目錄]   [檢視]  [下載]
  1. 本電子論文使用權限為同意立即開放。
  2. 已達開放權限電子全文僅授權使用者為學術研究之目的,進行個人非營利性質之檢索、閱讀、列印。
  3. 請遵守中華民國著作權法之相關規定,切勿任意重製、散佈、改作、轉貼、播送,以免觸法。

摘要(中) 修整型曲線齒輪係利用具有圓弧法向剖面且具有圓弧齒線的假想齒條刀所創成之齒輪。其特徵為齒面寬中央截面厚度較大,而齒面寬兩端厚度較小,且左右齒面外形不相同,一齒面為凹面,另一齒面為凸面。修整型曲線齒輪組在齒面寬中央為點接觸,能避免發生齒緣接觸。其優點為無軸向推力、彎矩強度較高,且因一齒面為凹面,能有利於潤滑油的殘留,故齒輪潤滑較良好。
本研究首先推導出具圓弧法向剖面齒條刀的數學模式,進而利用假想曲線齒條刀配合創成機構推導修整型曲線齒輪的齒面數學方程式。然後撰寫電腦程式進行修整型曲線齒輪之齒面接觸分析,探討刀具參數與組裝誤差對傳動誤差之影響,並且計算出接觸率。
接著以電腦輔助繪圖軟體建立齒輪組實體模型,並使用有限元素分析軟體進行修整型曲線齒輪組之接觸應力分析,探討在不同旋轉角度下的接觸應力與齒根彎矩應力的變化情況,並深入分析刀具參數對齒面接觸應力與齒根彎矩應力之影響。
最後利用五軸CNC加工機製造出修整型曲線齒輪實體模型,使用泛用型齒輪嚙合測試機進行測試,探討不同設計參數下之傳動誤差,並進行齒輪組接觸齒印測試與有限元素分析之結果相互驗證。
摘要(英) Modified curvilinear gears can be generated by an imaginary rack-cutter with a circular-arc normal section. The tooth thickness of the modified curvilinear gears is larger in the central transverse section, and the left and right tooth surfaces are not symmetric. One of the tooth surfaces is concave and the other is convex. A modified curvilinear gear set has point contact and will not incur point contact under assembly errors.
In this study, firstly the mathematical model of the imaginary rack cutter is developed. The mathematical model of the modified curvilinear gears was derived based on the imaginary rack cutter and the generation mechanism. Tooth contact analysis (TCA) of a modified curvilinear gear set was established to simulate the influences of design parameters and assembly errors on transmission errors. The contact ratio of the gear set was also calculated from the TCA results.
The solid model of the gear set was established by computer aided design software, and finite element analysis (FEA) was performed to analyze the contact stress and root bending stress under different design parameters and different rotational angles.
Finally, the modified curvilinear gears were manufactured by using a 5-Axes CNC Machining Center. Experiments of transmission errors and contact patterns were performed on a universal gear tester to verify the FEA results.
關鍵字(中) ★ 有限元素分析
★ 齒面接觸分析
★ 曲線齒輪
★ 傳動誤差
關鍵字(英) ★ curvilinear gear
★ tooth contact analysis
★ transmission error
★ finite element analysis
論文目次 中文摘要 ………………………………………………………… i
英文摘要 ………………………………………………………… ii
誌謝 ………………………………………………………… iii
目錄 ………………………………………………………… iv
圖目錄 ………………………………………………………… vi
表目錄 ………………………………………………………… x
符號說明 ………………………………………………………… xi
一、 緒論…………………………………………………… 1
1-1 研究目的……………………………………………… 1
1-2 文獻回顧……………………………………………… 1
1-3 研究動機……………………………………………… 3
1-4 論文內容……………………………………………… 5
二、 齒面數學模式………………………………………… 6
2-1 曲線齒輪創成原理…………………………………… 6
2-2 假想齒條刀數學模式………………………………… 9
2-3 修整型曲線齒輪齒面數學模式……………………… 12
2-4 修整型曲線齒輪齒形特徵…………………………… 18
2-4-1 不同刀具法向剖面半徑所創成之齒輪齒形………… 18
2-4-2 不同刀盤半徑所創成之齒輪齒形…………………… 20
三、 齒面接觸分析………………………………………… 23
3-1 前言…………………………………………………… 23
3-2 傳動誤差分析………………………………………… 23
3-3 接觸齒印……………………………………………… 27
3-4 齒面接觸分析範例…………………………………… 30
3-4-1 理想裝配情況………………………………………… 31
3-4-1-1 範例3-1 ……………………………………………… 31
3-4-1-2 範例3-2 ……………………………………………… 32
3-4-1-3 範例3-3 ……………………………………………… 32
3-4-1-4 範例3-4 ……………………………………………… 32
3-4-1-5 範例3-5………………………………………………… 33
3-4-2 組裝誤差……………………………………………… 34
3-5 接觸率………………………………………………… 42
3-6 討論…………………………………………………… 43
3-7 結論…………………………………………………… 45
四、 有限元素分析………………………………………… 47
4-1 有限元素模型………………………………………… 47
4-2 接觸面與表面特性定義……………………………… 47
4-3 邊界條件設定………………………………………… 48
4-4 齒輪設計參數對應力值之影響……………………… 48
4-4-1 範例4-1 ……………………………………………… 50
4-4-2 範例4-2 ……………………………………………… 56
4-4-3 範例4-3………………………………………………… 62
4-4-4 討論…………………………………………………… 65
4-5 齒輪組於不同旋轉角度之有限元素分析…………… 69
4-5-1 範例4-4 ……………………………………………… 69
4-5-2 範例4-5 ……………………………………………… 75
4-5-3 討論…………………………………………………… 78
4-6 結論…………………………………………………… 78
五、 修整型曲線齒輪製造與實驗………………………… 79
5-1 前言…………………………………………………… 79
5-2 泛用型齒輪測試機之介紹…………………………… 81
5-3 齒輪單齒腹測試原理………………………………… 81
5-4 實驗流程……………………………………………… 84
5-4-1 修整型曲線齒輪齒形誤差…………………………… 86
5-4-2 接觸齒印分析………………………………………… 87
5-4-2-1 無負載之修整型曲線齒輪接觸齒印………………… 87
5-4-2-2 受負載之修整型曲線齒輪接觸齒印………………… 88
5-4-3 討論…………………………………………………… 101
5-5 結論…………………………………………………… 104
六、 結論與未來工作……………………………………… 105
6-1 結論…………………………………………………… 105
6-2 未來工作……………………………………………… 106
參考文獻 108
參考文獻 ﹝1﹞ Litvin, F. L., Gear Geometry and Applied Theory, PTR Prentice Hall, Englewood Cliffs, New Jersey, 1994.
﹝2﹞ Seol, I.H., Kim, D.H., “The kinematic and dynamic analysis of crowned spur gear drive,” Computer Methods in Applied Mechanics and Engineering, vol.167, pp.109-118, 1998.
﹝3﹞ Wang, W.S., Fong, Z.H., “A dual face-hobbing method for the cycloidal crowning of spur gears,” Mechanism and Machine Theory, vol.43, pp.1416-1430, 2008.
﹝4﹞ Chen, Y.C., Tsay, C.B., “Stress analysis of a helical gear set with localized bearing contact,” Finite Element in Analysis and Design, vol.38, pp.707-723, 2002.
﹝5﹞ Litvin, F. L., Perez, I. G., Fuentes, A., Hayasaka, K. and Yukishima, K., “Topology of Modified Surfaces of Involute Helical Gears with Line Contact Developed for Improvement of Bearing Contact, Reduction of Transmission Errors, and Stress Analysis,”Mathematical And Computer Modelling, vol.42, pp.1063-1078, 2005.
﹝6﹞ Barone, S., Borgianni, L. and Forte, P., “Evaluation of effect of misalignment and Profile Modification in face gear drive by a finite element meshing simulation,” ASME Journal of Mechanical Design, vol.126, pp.916-924, 2004.
﹝7﹞ Yang, S.C., “Study on an internal gear with asymmetric involute teeth,” Mechanism and Machine Theory, vol.42, pp.977-994, 2007.
﹝8﹞ Yang, S.C., “Mathematical model of a stepped triple circular-arc gear,” Mechanism and Machine Theory, vol.44, pp.1019-1031, 2009.
﹝9﹞ Lin, T., Ou, H. and Li, R., “A finite element method for 3D static and dynamic contact/impact analysis of gear drives,” Computer Methods in Applied Mechanics and Engineering, vol.196, pp.1716-1728, 2007.
﹝10﹞ Li, S., “Finite element analyses for contact strength and bending strength of a pair of spur gears with machining errors, assembly errors and tooth modifications,” Mechanism and Machine Theory, vol.42, pp.88-144, 2007.
﹝11﹞ Zhang, Y., Fang, Z., “Analysis of tooth contact and load distribution of helical gears with crossed axes,”Mechanism and Machine Theory, pp.41-57, vol.34, 1999.
﹝12﹞ Chao, L.C., Tsay, C.B., “Contact characteristics of spherical gears,” Mechanism and Machine Theory, vol.43, pp.1317-1331, 2008.
﹝13﹞ Smith, R.E., “Single Flank Gear Testing,” Technical Information, 1982.
﹝14﹞ Smith, R.E., “Solving Gear Noise Problems with Single Flank Inspection,” Power Transmission Design, 1988.
﹝15﹞ 陳義仁,「受負載之正齒輪對的傳動誤差探討」,國立交通大學,碩士論文,民國94年6月。
﹝16﹞ Liu, S.T., “Curvilinear Cylindrical Gears,” Gear Technology, pp.8-12, May/June 1988.
﹝17﹞ Nagata, S., Argia, Y., Dai, Y., “New Method of Manufacturing Curved Tooth Trace Cylindrical Gears using a CNC Hobbing Machine,”JSME, vol.65, no.630, pp.270-275, 1999.
﹝18﹞ Dai, Y., Ariga, Y., Yanagisawa, A. and Nagata, S., “Study on Cylindrical Gears with Curved Tooth Traces,” JSME, vol.66, no.651, pp.187-192, 2000.
﹝19﹞ Tseng, R.T., Tsay, C.B., “Mathematical model and undercutting of cylindrical gear with curvilinear shaped teeth,” Mechanism and Machine Theory, vol.36, pp.1189-1202, 2001.
﹝20﹞ Tseng, R.T., Tsay, C.B., “Contact characteristics of cylindrical gears with curvilinear shaped teeth,” Mechanism and Machine Theory, vol.39, pp.905-919, 2004.
﹝21﹞ Andrei, L., Andrei, G., Epureanu, A., Oancea, N., and Walton, D., “Numerical simulation and generation of curved face width gears,” Machine Tools & Manufacture, vol.42, pp.1-6, 2002.
﹝22﹞ Wu, Y. C., Chen, K. Y., Tsay, C. B., and Ariga, Y., “Contact Characteristics of Circular-Arc Curvilinear Tooth Gear Drives,” ASME Journal of Mechanical Design, vol.131, 081003, pp.1-8, 2009.
指導教授 陳怡呈(Yi-Cheng Chen) 審核日期 2011-1-21
推文 facebook   plurk   twitter   funp   google   live   udn   HD   myshare   reddit   netvibes   friend   youpush   delicious   baidu   
網路書籤 Google bookmarks   del.icio.us   hemidemi   myshare   

若有論文相關問題,請聯絡國立中央大學圖書館推廣服務組 TEL:(03)422-7151轉57407,或E-mail聯絡  - 隱私權政策聲明