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.