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  1. NTU Theses and Dissertations Repository
  2. 工學院
  3. 機械工程學系
Please use this identifier to cite or link to this item: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/56467
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???org.dspace.app.webui.jsptag.ItemTag.dcfield???ValueLanguage
dc.contributor.advisor李志中(Jyh-Jone Lee)
dc.contributor.authorYu-Hsuan Chengen
dc.contributor.author鄭宇軒zh_TW
dc.date.accessioned2021-06-16T05:30:01Z-
dc.date.available2014-09-03
dc.date.copyright2014-09-03
dc.date.issued2014
dc.date.submitted2014-08-13
dc.identifier.citation[1] L.K. Braren, Gear Transmission, US Patent 1694031, 1928.
[2] F.L. Litvin and P.H. Feng, 'Computerized design and generation of cycloidal gearings,' Mechanism and Machine Theory, Vol.31, No.7, pp.891-911, 1996.
[3] J.G. Blanche and D.C.H. Yang, 'Cycloid drives with machining tolerances,' Journal of Mechanical Design, Vol.111, No.3, pp.337-344, 1989.
[4] T.S. Lai, 'Design and machining of the epicycloid planet gear of cycloid drives,' The International Journal of Advanced Manufacturing Technology, Vol.28, No.7-8, pp.665-670, 2006.
[5] J.H. Shin and S.M. Kwon, 'On the lobe profile design in a cycloid reducer using instant velocity center,' Mechanism and Machine Theory, Vol.41, No.5, pp.596-616, 2006.
[6] B. Chen, H. Zhong, J. Liu, C. Li and T. Fang, 'Generation and investigation of a new cycloid drive with double contact,' Mechanism and Machine Theory, Vol.49, pp.270-283, 2012.
[7] Z.H. Fong and C.W. Tsay, 'Study on the undercutting of Internal cycloidal gear with small tooth difference,' Journal of the Chinese Society of Mechanical Engineers, Vol.21, No.4, pp.359-367, 2000.
[8] Y.W. Hwang and C.F. Hsieh, 'Geometric design using hypotrochoid and nonundercutting conditions for an internal cycloidal gear,' Journal of Mechanical Design, Vol.129, No.4, pp.413-420, 2007.
[9] Z. Ye, W. Zhang, Q. Huang and C.Chen, 'Simple explicit formulae for calculating limit dimensions to avoid undercutting in the rotor of a cycloid rotor pump,' Mechanism and machine theory, Vol.41, No.4, pp.405-414, 2006.
[10] J.E. Beard, D.W. Yannitell and G.R. Pennock, 'The effects of the generating pin size and placement on the curvature and displacement of epitrochoidal gerotors,' Mechanism and Machine Theory, Vol.27, No.4, pp.373-389, 1992.
[11] D.C.H. Yang and J.G. Blanche, 'Design and application guidelines for cycloid drives with machining tolerances,' Mechanism and Machine Theory, Vol.25, No.5, pp.487-501, 1990.
[12] J.W. Sensinger, 'Unified approach to cycloid drive profile, stress, and efficiency optimization,' Journal of Mechanical Design, Vol.132, No.2, 024503, 2010.
[13] Koji Nakamura, Speed Reduction Device, US Patent 7811193B2, 2010.
[14] Onvio, http://www.onviollc.com/objects/pdf/onvio_catalog_zero-backlash-speed-reducers.pdf, July, 2014.
[15] M. Blagojevic, N. Marjanovic, Z. Djordjevic, B. Stojanovic and A. Disic, 'A new design of a two-stage cycloidal speed reducer,' Journal of Mechanical Design, Vol.133, No.8, 085001, 2011.
[16] 邱卓群,'擺線齒輪減速器之創新設計與分析',臺灣大學機械工程學研究所學位論文,2012。
[17] S.K. Malhotra and M.A. Parameswaran, 'Analysis of a cycloid speed reducer,' Mechanism and machine theory, Vol.18, No.6, pp.491-499, 1983.
[18] C. Gorla, P. Davoli, F. Rosa, C. Longoni, F. Chiozzi and A. Samarani, 'Theoretical and experimental analysis of a cycloidal speed reducer,' Journal of Mechanical Design, Vol.130, No.11, 112604, 2008.
[19] F.L. Litvin and A. Fuentes, Gear geometry and applied theory, Cambridge University Press, 2004.

[20] G. Bonandrini, G. Mimmi and C. Rottenbacher, 'Design and simulation of meshing of a particular internal rotary pump,' Mechanism and Machine Theory, Vol.49, pp.104-116, 2012.
[21] 林灣松,'二階擺線減速機之運動誤差分析與設計',臺灣大學機械工程學研究所學位論文,2013.
[22] W. He and Q. Lu, 'Parametric design and dynamic simulation of the pin-cycloid-gear planetary reducer used by fast moving switch machine,' Computer Application and System Modeling (ICCASM), 2010 International Conference on, Vol.2, 2010.
[23] 黃重憲,'具修整齒形擺線傳動器之曲面設計,齒形接觸分析與最佳修整參數設計的研究',成功大學機械工程學系碩士在職專班學位論文,2006.
[24] V.L. Popov, Contact mechanics and friction, Springer Berlin Heidelberg, 2010.
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/56467-
dc.description.abstract擺線減速機由於具有高減速比、高傳動效率、定位精度高等優點,已經被工業界應用一段時間。本論文內容主要為對一階擺線減速機中,具齒形修形的擺線齒輪進行分析,包括齒面接觸分析、齒輪受力分析、運動誤差分析與齒形最佳化設計。首先藉由坐標轉換與齒輪嚙合原理來推導出擺線齒形參數式,並依據工程上的需求對擺線齒輪的齒形進行修形;接著進行齒面接觸分析來得到輸出角度與針齒背隙,並利用其結果來計算擺線齒輪受力與運動誤差。本文最後將針對齒形做最佳化設計,並使用前述之分析方法來探討最佳化設計結果。zh_TW
dc.description.abstractCycloidal reducer, commonly used in industry for decades, is a speed reduction device with high speed ratio, high efficiency, and high locating precision. This thesis studies the force on a cycloidal speed reducer with midified teeth. Firstly the cycloidal gear profile is generated by using theory of gearing. To satisfy engineering requirements, the cycloidal gear profile is then modified. Second, the force performance and kinematic error are analyzed with the results of tooth contact analysis. Finally, an optimization design is discussed. The optimal results of tooth modification parameters are designed with the optimization processes.en
dc.description.provenanceMade available in DSpace on 2021-06-16T05:30:01Z (GMT). No. of bitstreams: 1
ntu-103-R01522633-1.pdf: 6638788 bytes, checksum: e9a9c08e080e1d02f8385c3478626238 (MD5)
Previous issue date: 2014
en
dc.description.tableofcontents摘要 I
Abstract II
目錄 III
圖目錄 VI
表目錄 IX
符號說明 X
第一章 緒論 1
1.1 前言 1
1.2 文獻回顧 2
1.3 研究動機與目的 6
1.4 論文架構 7
第二章 擺線齒形設計 8
2.1 前言 8
2.2 擺線齒形創成 8
2.2.1 坐標與參數設定 8
2.2.2 齒輪嚙合方程式 11
2.3 擺線齒形修形 15
2.3.1 轉角齒形修形 15
2.3.2 偏心量齒形修形 17
2.3.3 針齒位置齒形修形 18
2.3.4 針齒半徑齒形修形 19
2.3.5 齒形修形組合 20
第三章 具齒型修形之輸出角度 24
3.1 前言 24
3.2 齒面接觸點計算 24
3.2.1 坐標與參數設定 24
3.2.2 分析方程式設定與計算 25
3.3 輸出角度計算 28
3.4 針齒背隙計算 32
第四章 具齒型修形之力量分析 35
4.1 前言 35
4.2 赫茲接觸理論 35
4.3 受力與轉角變化計算 36
4.3.1 力平衡方程式 37
4.3.2 受力與變形關係 40
4.4 運動誤差 47
4.4.1 角位移誤差 47
4.4.2 減速比誤差 48
第五章 齒形修形最佳化 50
5.1 前言 50
5.2 最佳化設定 50
5.2.1 設計參數設定 50
5.2.2 邊界條件設定 51
5.3 減速比誤差最佳化 52
5.3.1 目標函數設定 52
5.3.2 正 與正 之齒形修形組合 53
5.3.3 負 與負 之齒形修形組合 57
5.3.4 負 與正 之齒形修形組合 61
5.4 本章結論 65
第六章 結論與未來方向 66
6.1 結論 66
6.2 未來方向 67
參考文獻 68
附錄 71
dc.language.isozh-TW
dc.subject齒形修形zh_TW
dc.subject最佳化設計zh_TW
dc.subject擺線減速機zh_TW
dc.subject受力分析zh_TW
dc.subjectTooth Modificationen
dc.subjectForce Analysisen
dc.subjectOptimization Designen
dc.subjectCycloidal Gear Reduceren
dc.title具齒形修整之擺線減速機受力分析研究zh_TW
dc.titleForce Analysis of a Cycloidal Speed Reducer with Tooth Modificationsen
dc.typeThesis
dc.date.schoolyear102-2
dc.description.degree碩士
dc.contributor.oralexamcommittee詹魁元(Kuei-Yuan Chan),石伊蓓(Yi-Pei Shih)
dc.subject.keyword擺線減速機,齒形修形,受力分析,最佳化設計,zh_TW
dc.subject.keywordCycloidal Gear Reducer,Tooth Modification,Force Analysis,Optimization Design,en
dc.relation.page91
dc.rights.note有償授權
dc.date.accepted2014-08-14
dc.contributor.author-college工學院zh_TW
dc.contributor.author-dept機械工程學研究所zh_TW
Appears in Collections:機械工程學系

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