Angular Velocity Analysis of an Epicyclic Gear Train Using Fundamental Circuits and a Block Diagram

  • Yi-Chang Wu National Yunlin University of Science & Technology, Taiwan
  • Mi-Ching Tsai National Cheng Kung University, Tainan, Taiwan, R.O.C.
Keywords: angular velocity, epicyclic gear train, fundamental circuit, block diagram


The prediction of angular velocity is a prerequisite to investigate the power flow and mechanical efficiency of an epicyclic gear train. This paper presents a useful tool, which combines the fundamental circuit and a block diagram, to analyze the angular velocity of an epicyclic gear train. It is a visualized and straightforward method without manipulating tedious kinematic equations, which makes the angular velocity analysis of epicyclic gear trains more simplified. A compound epicyclic gear train used in a synchronous differential device is taken as an example to demonstrate the analysis process of the proposed approach. The velocity ratio of the epicyclic gear train is also derived.


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How to Cite
Wu, Y.-C., & Tsai, M.-C. (2017). Angular Velocity Analysis of an Epicyclic Gear Train Using Fundamental Circuits and a Block Diagram. Proceedings of Engineering and Technology Innovation, 6, 28-31. Retrieved from