Planetary gear trains (PGTs) are widely used in machinery to transmit angular velocity ratios or torque ratios. The graph theory has been proved to be an effective tool to synthesize and analyze PGTs. This paper aims to propose a new graph model, which has some merits relative to the existing ones, to represent the structure of PGTs. First, the rotation graph and canonical rotation graph of PGTs are defined. Then, by considering the edge levels in the rotation graph, the displacement graph and canonical displacement graph are defined. Each displacement graph corresponds to a PGT having the specified functional characteristics. The synthesis of five-link one degree-of-freedom (1DOF) PGTs is used as an example to interpret and demonstrate the applicability of the present graph representation in the synthesis process. The present graph representation can completely avoid the generation of pseudo-isomorphic graphs and can be used in the computer-aided synthesis and analysis of PGTs.
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January 2018
Research-Article
New Graph Representation for Planetary Gear Trains
Wenjian Yang,
Wenjian Yang
School of Mechanical Engineering and
Electronic Information,
China University of Geosciences,
No. 388 LuMo Road, Hongshan District,
Wuhan 430074, China
e-mail: ywj19900125@163.com
Electronic Information,
China University of Geosciences,
No. 388 LuMo Road, Hongshan District,
Wuhan 430074, China
e-mail: ywj19900125@163.com
Search for other works by this author on:
Huafeng Ding,
Huafeng Ding
School of Mechanical Engineering and
Electronic Information,
China University of Geosciences,
No. 388 LuMo Road, Hongshan District,
Wuhan 430074, China
e-mail: dhf@ysu.edu.cn
Electronic Information,
China University of Geosciences,
No. 388 LuMo Road, Hongshan District,
Wuhan 430074, China
e-mail: dhf@ysu.edu.cn
Search for other works by this author on:
Bin Zi,
Bin Zi
School of Mechanical Engineering,
Hefei University of Technology,
No. 193 TunXi Road,
Hefei 230009, China
e-mail: binzi.cumt@163.com
Hefei University of Technology,
No. 193 TunXi Road,
Hefei 230009, China
e-mail: binzi.cumt@163.com
Search for other works by this author on:
Dan Zhang
Dan Zhang
Lassonde School of Engineering,
York University,
4700 Keele Street,
Toronto, ON M3J1P3, Canada
e-mail: dzhang99@yorku.ca
York University,
4700 Keele Street,
Toronto, ON M3J1P3, Canada
e-mail: dzhang99@yorku.ca
Search for other works by this author on:
Wenjian Yang
School of Mechanical Engineering and
Electronic Information,
China University of Geosciences,
No. 388 LuMo Road, Hongshan District,
Wuhan 430074, China
e-mail: ywj19900125@163.com
Electronic Information,
China University of Geosciences,
No. 388 LuMo Road, Hongshan District,
Wuhan 430074, China
e-mail: ywj19900125@163.com
Huafeng Ding
School of Mechanical Engineering and
Electronic Information,
China University of Geosciences,
No. 388 LuMo Road, Hongshan District,
Wuhan 430074, China
e-mail: dhf@ysu.edu.cn
Electronic Information,
China University of Geosciences,
No. 388 LuMo Road, Hongshan District,
Wuhan 430074, China
e-mail: dhf@ysu.edu.cn
Bin Zi
School of Mechanical Engineering,
Hefei University of Technology,
No. 193 TunXi Road,
Hefei 230009, China
e-mail: binzi.cumt@163.com
Hefei University of Technology,
No. 193 TunXi Road,
Hefei 230009, China
e-mail: binzi.cumt@163.com
Dan Zhang
Lassonde School of Engineering,
York University,
4700 Keele Street,
Toronto, ON M3J1P3, Canada
e-mail: dzhang99@yorku.ca
York University,
4700 Keele Street,
Toronto, ON M3J1P3, Canada
e-mail: dzhang99@yorku.ca
1Corresponding author.
Contributed by the Mechanisms and Robotics Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received August 18, 2017; final manuscript received October 17, 2017; published online November 9, 2017. Assoc. Editor: Dar-Zen Chen.
J. Mech. Des. Jan 2018, 140(1): 012303 (10 pages)
Published Online: November 9, 2017
Article history
Received:
August 18, 2017
Revised:
October 17, 2017
Citation
Yang, W., Ding, H., Zi, B., and Zhang, D. (November 9, 2017). "New Graph Representation for Planetary Gear Trains." ASME. J. Mech. Des. January 2018; 140(1): 012303. https://doi.org/10.1115/1.4038303
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