臺灣博碩士論文加值系統

此次擺線一齒差減速機的研究是從擺線的介紹、與基本向量運算的實際推演，如直線與圓，及向量旋轉位移，並利用外次擺線與法向等距線的數學理論，與包絡理論來做為一齒差擺線行星輪的齒廓的設計，及運用基本向量運算來繪製針齒輪，中心圓，基圓與二片擺線行星輪的偏心位置排列繪製一個數學組合圖，並利用數學組合圖的相關方程式，與位置尺寸來建立給CAE模擬用的3D模型，同時在CAE模擬運動時是採用凸輪接觸，且接觸的方式是60個，針齒圓形輪廓與擺線行星輪59齒外形輪廓全部接觸，來分析模擬一齒差擺線減速機的多齒接觸狀況，此次CAE運動模擬以凸輪全齒廓接觸、而且擺線行星輪上的傳動輸出孔，與傳動環跟行星盤架的銷軸、都是設定為相切接觸、是一個真實正確的運動條件設定，除此之外偏心輸入軸也模擬輸入運轉角度為5310度即輸入軸轉動14.75圈，這樣的模擬設定使整個模型有實際多圈運轉及多齒接觸，不單是只有一個齒的接觸模擬分析。

The study is focused on the introduction of cycloid、and the actual deduction of basic vector operations、such as linear and circular, Displacement and rotation vector,And use of epitrochoidl lines with normal mathematical theory,Theory to do with the envelope as a planetary gear teeth difference cycloid tooth profile design、And use of basic vector operations to draw the pin gear、Center circle、Base circle and the two cycloidal planetary gear arrangement of the eccentric position to draw a mathematical combination chart、And the use of mathematical equations related to a combination chart、To the size and location to create the 3D model with CAE simulation, CAE simulation exercise at the same time is the use of cam、And the contact method is 60、Cycloid needle teeth rounded contours and contour planetary gear wheel 59 contacts all,To analyze the simulation of a tooth difference cycloid gear tooth contact conditions of Multi-tooth contact conditions, The CAE full motion simulation to tooth profile cam contacts，And on the cycloid planetary transmission output hole,Ring with the protoplanetary disk and drive pin frame,Tangential contacts are set to Movement is a true and correct conditions set,This simulation model is set so that the whole operation of practical multi-turn and multi-tooth contact,Not only is only a simulation of tooth contact analysis。

中文摘要 i
英文摘要 iii
目錄 iv
圖目錄 iv
符號說明 viii
第一章導論 1
1-1前言 1
1-1-1擺線歷史與介紹 1
1-1-2少齒差擺線減速機的發展及介紹 3
1-1-3市面一齒差擺線減速機實際介紹 12
1-2文獻探討 23
1-3研究動機 24
第二章理論基礎 25
2-1相關擺線理論 25
2-1-1平面上曲線的法向等距線 25
2-1-3外擺線與外次擺線 30
2-1-4一齒差擺線減速機相關曲線 38
第三章系統介紹 49
3-1模擬分析軟體介紹 50
3-2模擬分析模型建立與模擬運轉結果 50
第四章模擬結果與討論設計圖 71
第五章結論 87
參考文獻 89
附錄A 91
附錄B 92
作者簡介 93

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