Angular Velocity Analysis of an Epicyclic Gear Train Using Fundamental Circuits and a Block Diagram
AbstractThe 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.
Y. C. Wu, “Structural analysis of existing multi-speed transmission hubs of bicycles,” Proc. Engineering and Technology Innovation, vol. 4, pp. 43-45, 2016.
D. Gibson and S. Kramer, “Symbolic notation and kinematic equations of motion of the twenty-two basic spur, planetary gear trains,” ASME Journal of Mechanisms, Transmissions and Automation in Design, vol. 106, no. 3, pp. 333-340, 1984.
Z. Levai, “Structure and analysis of planetary gear trains,” Journal of Mechanisms, vol. 3, no. 3, pp. 131-148, 1968.
R. L. Norton, Kinematic and dynamics of machinery, 1st ed. Singapore, McGraw-Hill, 2009.
W. H. Hsieh, “An experimental study on cam-controlled planetary gear trains,” Mechanism and Machine Theory, vol. 42, no. 5, pp. 513-525, 2007.
F. Freudenstein and A. T. Yang, “Kinematics and statics of coupled epicyclic spur gear trains,” Journal of Mechanism and Machine Theory, vol. 7, no. 2, pp. 263-375, 1972.
Y. C. Wu and C. W. Chang, “Development of 3-speed rear hub bicycle transmissions with gear-shifting mechanisms,” Transactions of the Canadian Society for Mechanical Engineering, vol. 39, no. 3, pp. 407-418, 2015.
M. C. Tsai, C. C. Huang, and B. J. Lin, “Kinematic analysis of planetary gear systems using block diagrams,” Journal of Mechanical Design, vol. 132, no. 6, pp. 065001-1-065001-10, 2010
Copyright (c) 2017 Proceedings of Engineering and Technology Innovation
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Submission of a manuscript implies: that the work described has not been published before that it is not under consideration for publication elsewhere; that if and when the manuscript is accepted for publication. Authors can retain copyright in their article with no restrictions. Also, author can post the final, peer-reviewed manuscript version (postprint) to any repository or website.
From Oct. 01, 2015, PETI will publish new articles with Creative Commons Attribution Non-Commercial License, under Creative Commons Attribution 4.0 International Public License.
The Creative Commons Attribution Non-Commercial (CC-BY-NC) License permits use, distribution and reproduction in any medium, provided the original work is properly cited and is not used for commercial purposes