以有限元素分析擺線減速機之受力表現

Force Analysis of a Cycloidal Speed Reducer Using Finite Element Method

曾柏桑(Bo-Sang Zeng)

指導教授 ： 李志中

國立臺灣大學/工學院/機械工程學研究所/碩士(2014年)

https://doi.org/10.6342/NTU.2014.01189

摘要

擺線減速機在現代工業上的使用越來越普遍，與傳統減速機中的行星式減速機相比，擺線減速機的優勢在於：高承載力、低背隙、較大的減速比範圍、穩定的動態受力、體積小與較高的工作效率等優點。理論上，不具修形之擺線減速機中的擺線盤與外環針齒為全齒接觸，但實際應用上，為了製造允差、與預留潤滑空間，擺線盤齒形設計需要予以修形，這使得擺線盤由全齒接觸變為局部齒接觸，故此對於修形後的受力表現，值得加以探討研究。由於擺線減速機複雜的運動模式，以理論分析有其極限和困難，所以對擺線減速機的受力分析，使用有限元素法分析可以在工程上獲得有效且可接受的結果。本論文旨在使用有限元素分析軟體於擺線減速機之受力分析，並探討其中軟體之參數設定及穩定性；除此之外，並將分析之結果與理論分析之結果做一比較，以增加軟體分析的正確性。

關鍵字

一階擺線減速機 ； 有限元素法 ； 運動誤差

並列摘要

Cycloidal speed reducers have been applied in modern engineering universally. Compared with the traditional planetary gear reducer, cycloidal speed reducers have the characteristics of high load ability, low-backlash, high-ratio, reliable functioning in dynamical load conditions, compact, and high efficiency. Theoretically, the teeth of cycloid disk are in contact with appropriate rollers on the outer stationary case simultaneously. But in practical application, in order to compensate the manufacturing errors and reserve the space for lubricating, the cycloid teeth have to be modified. Thus the teeth of cycloid disk are not all at simultaneous contact with rollers anymore. It is necessary to understand the changes of force reaction of the cycloid dick after the profile modification. Due to the complex motion of cycloid disk, it is difficult to analyze the force reaction by theoretical method; therefore, the force analysis using finite element method has been implemented in this work. The goal of the thesis is to analyze the force condition of a cycloidal speed reducer using finite element method. The parameters and stability of the FEM software are discussed. In additional, the results of FEA are compared with those of theoretical method such that the correctness of FEA can be furthered assured.

並列關鍵字

one-stage cycloidal speed reducer ； finite element method ； kinematic error

參考文獻

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