具齒形修整之擺線減速機受力分析研究

Abstract

擺線減速機由於具有高減速比、高傳動效率、定位精度高等優點，已經被工業界應用一段時間。本論文內容主要為對一階擺線減速機中，具齒形修形的擺線齒輪進行分析，包括齒面接觸分析、齒輪受力分析、運動誤差分析與齒形最佳化設計。首先藉由坐標轉換與齒輪嚙合原理來推導出擺線齒形參數式，並依據工程上的需求對擺線齒輪的齒形進行修形；接著進行齒面接觸分析來得到輸出角度與針齒背隙，並利用其結果來計算擺線齒輪受力與運動誤差。本文最後將針對齒形做最佳化設計，並使用前述之分析方法來探討最佳化設計結果。

Cycloidal reducer, commonly used in industry for decades, is a speed reduction device with high speed ratio, high efficiency, and high locating precision. This thesis studies the force on a cycloidal speed reducer with midified teeth. Firstly the cycloidal gear profile is generated by using theory of gearing. To satisfy engineering requirements, the cycloidal gear profile is then modified. Second, the force performance and kinematic error are analyzed with the results of tooth contact analysis. Finally, an optimization design is discussed. The optimal results of tooth modification parameters are designed with the optimization processes.