臺灣博碩士論文加值系統

擺線齒輪減速機使用在精密機械的傳動上已有一段很長的時間，此類減速機與傳統行星式減速機相比，具有：高傳動效率、高承載能力、高減速比、低背隙、低噪音、小體積以及穩定的動態受力等優點。近年來，擺線齒輪減速機朝向高扭力密度之方向發展，故對於擺線減速機元件之受力分析，需要有更深入的探討。本研究先建立擺線減速機的力量分析模型，求解傳統一階外擺線減速機之受力，並以此為基礎進行新型二階外擺線減速機、具齒形修形擺線減速機之受力分析。受力分析結果與有限元素法軟體模擬的結果做比較，顯示理論計算解與數值模擬解答之趨勢，可提供設計者迅速進行力量分析。本研究亦藉由CAD與有限元素模擬軟體，建立此三種擺線減速機模擬的流程，提供模擬時須注意之模擬細節，以得到較佳之收斂模擬結果。

The cycloidal speed reducer has been widely used in precision machinery. Compared with the traditional planetary gear speed reducer, the cycloidal speed reducer has larger torque density, less backlash, smaller noise, higher efficiency and stable dynamic contact force. This paper presents the force analysis of the cycloidal speed reducer. First, the model of the force analysis for the reducer in three different types were established and the calculation of force reaction between the cycloidal disc and the contact pins was introduced. Then, a procedure of the analysis using finite element method was developed and simulation of the force reaction was performed. In the end, comparisons of the theoretical results and the finite element simulation were presented. It is anticipated that this procedure may help improve the design of the cycloidal speed reducer.

致謝 I
摘要 II
Abstract III
目錄 IV
圖目錄 V
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
1.2.1擺線減速機 2
1.2.2漸開線齒輪有限元素法分析 5
1.2.3擺線齒輪有限元素法分析 6
1.3研究動機與目的 7
1.4論文架構 8
第二章 理想齒形接觸受力分析 9
2.1前言 9
2.2一階擺線減速機靜態受力分析 10
2.2.1參數設定 10
2.2.2靜力平衡 14
2.2.3結果算例 18
2.3二階擺線減速機靜態受力分析 21
2.3.1參數設定 22
2.3.2靜力平衡 26
2.3.3結果算例 32
第三章 具修形齒形接觸受力分析 37
3.1前言 37
3.2單齒接觸受力分析 37
3.2.1參數設定 37
3.2.2靜力平衡 40
3.2.3結果算例 44
3.3多齒接觸受力分析 45
3.3.1赫茲接觸理論 45
3.3.2參數設定 46
3.3.3靜力平衡 47
3.3.4結果算例 51
第四章 以有限元素法模擬受力分析 53
4.1前言 53
4.2 ANSYS使用環境 54
4.2.1元素類型與設定 55
4.2.2接觸類型 56
4.2.3網格規劃方法 60
4.2.4求解器設定 61
4.3一階擺線減速機模擬 62
4.3.1前處理 62
4.3.2求解設定 66
4.3.3結果與討論 69
4.4二階擺線減速機模擬 77
4.4.1前處理 77
4.4.2求解設定 83
4.4.3結果與討論 85
4.5具修形齒形一階擺線減速機模擬 90
4.5.1前處理 90
4.5.2求解設定 92
4.5.3結果與討論 94
第五章 結論與未來方向 102
5.1結論 102
5.2未來方向 103
參考資料 104

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