臺灣博碩士論文加值系統

擺線減速機在工業上用途眾多，且為結構緊密及具備高效率之減速機，一直以來，對於擺線減速機的研究都是對其獨特的齒廓進行探討。齒廓的形成已經有了幾種方式，但對於該如何設計不同減速比的擺線減速機則沒有系統化的設計方式，因此本研究為針對不同減速比之減速機提出設計方法，目的是希望在不干涉的前提下使運轉產生的齒隙最小。

對於該如何將運轉產生的齒隙縮小，方法為藉由調整影響齒輪的主要參數來觀察其齒隙變化，影響擺線減速機的最主要因素有四項，分別是環齒輪弧半徑、環齒輪弧心到環齒輪圓心距離、外齒輪小弧半徑以及外齒輪中心到外齒輪小弧中心距離，因此，藉由調整這四個尺寸來找出能使齒輪轉動時產生最低齒隙的設計參數，並應用在減速比1:3、1:5、1:10以及1:15的減速機設計上。最後，藉由電腦輔助繪圖進行實體模型繪製和動態模擬軟體模擬運動情形，驗證尺寸設計的準確性。

Cycloid reducer have many uses in industry, and is compact structure and with high efficiency speed reducer. Until now, for the study of cycloid reducer is to research its unique tooth profile. The formation of tooth profile have several ways, but for how to design a different gear ratio is not systematic design approach on cycloid reducer. This paper is proposed design method for different gear ratio of speed reducer and hope the backlash well minimum when speed reducer is rotation without interfering.

For how to make the backlash to reduce method is adjusting the main parameters affecting the gear backlash to observe its changes, the most important that influence cycloid reducer have four factors. First, the arc radius of the ring gear, second, the distance from arc center of the ring gear to center of the ring gear, third, the arc radius of the cycloid gear, fourth, the distance form smaller arc center of the cycloid speed to center of the cycloid gear. By adjusting the size of the four factors to find the design parameters and make the backlash well minimum when speed reducer is rotation, and applied in gear ratio of 1:3, 1:5, 1:10, 1:15 speed reducer. Finally, using computer to design the CAD model and dynamic simulation software to simulate the movement of the situation, verify the accuracy of the size design.

摘要 i
Abstract ii
誌謝 iii
目錄 iv
表目錄 v
圖目錄 vi
一、緒論 1
1.1研究動機與目的 1
1.2文獻回顧 1
1.3研究內容與方法 3
1.4論文大綱 4
二、擺線減速機原理與設計工具之介紹 5
2.1機構做動原理 5
2.2設計工具 7
三、擺線減速機之設計 14
3.1齒輪幾何關係 14
2.2正規化參數建立 20
2.3滑動與齒隙現象 24
四、減速比1:5及1:10之擺線減速機 32
4.1滑動分析 32
4.2位置分析 36
4.3速度分析 40
4.4加速度分析 41
五、擺線減速機與滾柱減速機之比較 44
5.1滑動分析 44
5.2位置分析 45
5.3速度分析 47
5.4加速度分析 49
六、結論與未來展望 51
6.1結論 51
6.2未來展望 52
附錄 53
參考文獻 56

[1] B. K. Chen, T. T. Fang, “Gear geometry of cycloid drives.” Science in China Series E: Technological Sciences, 51(5): p. 598-610, 2008.

[2] J. W. Sensinger, “Unified approach to cycloid drive profile, stress, and efficiency optimization,” ASME Journal of Mechanical Design, vol. 132, pp. 1-5, 2010.

[3] W. D. He, Q. Lu, “Parametric Design and Dynamic Simulation of the Pin-Cycloid-Gear Planetary Reducer Used by Fast Moving Switch Machine”, International Conference on Computer Application and System Modeling, 2010.

[4] J. W. Sensinger, J. H. Lipsey, “Cycloid vs. Harmonic Drives for use in High Ratio, Single Stage Robotic Transmissions”, IEEE International Conference on Robotics and Automation, 2012.

[5] B. P. Gearheads, "Precision Planetary vs. Harmonic/Cycloidal drives", in Get into gear, Port Washington, NY, 1997.

[6] F. L. Litvin, P. H. Feng, “Computerize design and generation of cycloidal gearing”, Mechanism and Machine Theory 31 891–911, 1996.

[7] X. Li, W. D. He, L. Li, L. C. Schmidt, “A new cycloid drive with high-load capacity and high efficiency”, Journal of Mechanical Design, vol. 126, pp. 683-686, Jul 2004.

[8] T. S. Lai, “Geometric design of roller drives with cylindrical meshing
elements”, Mechanism and Machine Theory, vol. 40, pp. 55-67, 2005.

[9] J. H. Shin., S. M. Kwon, “On the Lobe Profile Design in a Cycloid Reducer Using Instant Velocity Center”, Mech. Mach. Theory, 41, pp. 596–616, 2006.

[10] Z. Ye, W. Zhang, Q. Huang, C. Chen, “Simple Explicit Formulae for Calculating Limit Dimensions to Avoid Undercutting in the Rotor of a Cycloid Rotor Pump”, Mech. Mach. Theory, 41, pp. 405–414, 2006.

[11] Y. W. Hwang, C. F. Hsieh., “Geometric Design Using Hypotrochoid and Nonundercutting Conditions for an Internal Cycloidal Gear”, ASME J. Mech. Des., 129, pp. 413–420, 2007.

[12] C. Gorla, P. Davoli, F. Rosa, C. Longoni, F. Chiozzi, A. Samarani, “Theoretical and Experimental Analysis of a Cycloidal Speed Reducer”, ASME J. Mech. Des., 130, p. 112604, 2008.

[13] S. V. Thube, T. R. Bobak, ”Dynamic Analysis of a Cycloidal Gearbox Using Finite Element Method”, AGMA Technical Paper, 2012.

[14]張琬婷,「新型滾柱減速機之幾何設計」, 國立成功大學機械工程學系碩士論文, 2000.