擺線輪減速機具有傳動比大，傳動效率高、體積小、重量輕、運轉平穩、壽命長的優點，因而受到業界廣泛的關注與運用，並對其加以研究。本研究主要針對兩級擺線輪減速機進行應力分析。利用有限元素分析軟體ANSYS Workbench，針對擺線輪與針齒接觸所產生的應力進行探討，包括收斂性分析、靜態分析與疲勞壽命分析。研究中使用動態模擬分析軟體RecurDyn，設置擺線輪與針齒的接觸條件，以進行兩級擺線輪減速機的運動模擬，確認運動情形與實體相符，並求解擺線輪運動時對針齒的動態接觸應力，分析出擺線輪減速機動態接觸應力值。

The cycloid reducer has the advantages of large transmission ratio, high transmission efficiency, small size, light weight, smooth operation and long life. Therefore, it has been widely concerned and used by the industry and studied it. This research mainly focuses on the stress analysis of the two-stage cycloid reducer.. Using finite element analysis software ANSYS Workbench, the stress caused by the contact between cycloid gear and pin gear, convergence analysis, static analysis, and fatigue life analysis are investigated. RecurDyn, a dynamic simulation analysis software is used in the study. Set the contact conditions between the cycloidal gear and the pin gear to simulate the motion of the two-stage cycloidal gear reducer, confirm that the movement situation is consistent with the entity, and solve the dynamic contact stress on the pin gear when the cycloidal gear moves, and analyze the cycloid dynamic contact stress value of reducer.

摘要 ...i
Abstract...ii
誌謝...iii
目錄...iv
表目錄...vi
圖目錄...vii
第一章 緒論...1
1.1 前言...1
1.2 研究動機與方法...1
1.3 文獻回顧...2
1.4 論文架構...3
第二章 擺線輪減速機構...4
2.1 減速機構造...4
2.2 減速機構模型裝配...6
2.3 減速機構傳動原理...9
第三章 擺線輪減速機構靜態分析...12
3.1 有限元素分析...12
3.1.1軟體介紹...12
3.2分析流程...13
3.3 前處理階段...14
3.3.1 建立及簡化CAD圖檔...14
3.3.2 定義材料參數...16
3.3.3 設定接觸、邊界條件...17
3.3.4 建立網格...20
3.4 求解與後處理階段...22
3.4.1 分析結果...22
3.4.2 網格收斂...24
3.5 疲勞壽命分析...26
3.5.1 疲勞分析設定...27
第四章 擺線輪減速機構動態分析...32
4.1 動態模擬分析...32
4.1.1 軟體介紹...32
4.2 分析流程...33
4.3 剛體動態模擬...34
4.3.1 模型匯入與邊界條件設定...34
4.3.2 接觸條件設定...37
4.3.3 動力源設置與求解...40
4.4 彈性體動態模擬...43
4.4.1 網格建立與材料參數設定...43
4.4.2 彈性接觸設置與分析結果...46
第五章 結論與未來展望...54
5.1 結論...54
5.2 未來展望...54
參考文獻...56
Extended Abstract...58

[1]L.K. Braren, Gear Transmission, US Patent 1867492 A, 1928.
[2]S.K. Malhotra and M.A. Parameswaran, "Analysis of a Cycloid Speed Reducer," Mech. Mach. Theory Vol. 18, No. 6, pp. 491-499, 1983.
[3]J.G. Blanche and D.C.H. Yang, "Cycloid Drives with Machining Tolerances," ASME Journal of Mechanical Design, Vol.111, No.3, pp.337-344, 1989.
[4]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.
[5]M. Chmurawa, and A. John, "FEM in Numerical Analysis of Stress and Displacement Distribution in Planetary Wheel of Cycloidal Gear," NAA 2000, LNCS 1988, Spring-Verlag Berlin Heidelberg, pp. 772-799,2001.
[6]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.
[7]C. Gorla, P. Davoli, F. Rosa, C. Longoni, F. Chiozzi, and A. Samarani, "Theoretical and Experimental Analysis of a Cycloidal Speed Reducer," ASME J. Mech. Des., Vol. 130, No. 11, pp. 1126041-1126048, 2008.
[8]M. Blagojevic, V. Nikolic-Stanojevic, N. Marjanovic, and L. Veljovic, "Analysis of Cycloid Drive Dynamic Behavior," Scientific Technical Review, Vol. LIX, No 1, pp. 52-56, 2009.
[9]M. Blagojevic, N. Marjanovic, Z. Dordevic, and B. Stojanovic, "Stress and Strain State of Single-Stage Cycloidal speed reducer," IRMES, pp. 553-558, 2011.
[10]kipedia.Retrieved
From: https://zh.wikipedia.org/wiki/摩擦係數。
[11]Wikipedia.Retrieved
From: https://zh.wikipedia.org/wiki/滾動摩擦。
[12]洪麗棻，“萬能圓筒CNC磨床機之疲勞分析與優化設計,”，機械設計系研究所碩士論文，國立虎尾科技大學，雲林縣，2014。
[13]Wikipedia.Retrieved
From: https://zh.wikipedia.org/wiki/疲勞極限。
[14]昇茂金屬股份有限公司產品介紹型錄，http://www.sheng-maw.com.tw/。
[15]Antonio Gabelli, Junbiao Lai, Thore Lund, Karin Ryden, Ingemar Strandell, Guillermo E. Morales-Espejel, "The fatigue limit of bearing steels – Part II: Characterization for life rating standards," International Journal of Fatigue, Vol.38, pp.169-180, 2012.
[16]李濤、趙壽根、何玉金、李東海，2019，“基於逆螺旋機構的電梯緩衝器設計及動力學特性分析,”，機械工程與技術期刊，292頁。