Research Papers: Design of Direct Contact Systems

Design of Multiple Operating Degrees-of-Freedom Planetary Gear Trains With Variable Structure

[+] Author and Article Information
Zeng-Xiong Peng, Tian-Li Xie, Chun-Wang Liu

National Key Laboratory of
Vehicular Transmission,
Beijing Institute of Technology,
Beijing 100081, China

Ji-Bin Hu

National Key Laboratory of
Vehicular Transmission,
School of Mechanical Engineering,
Room No. 414,
Building No. 9,
No. 5 Zhongguancun South Street,
Haidian District,
Beijing 100081, China
e-mail: bithjb@126.com

1Corresponding author.

Contributed by the Power Transmission and Gearing Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received January 12, 2015; final manuscript received May 27, 2015; published online June 30, 2015. Assoc. Editor: Dar-Zen Chen.

J. Mech. Des 137(9), 093301 (Sep 01, 2015) (11 pages) Paper No: MD-15-1018; doi: 10.1115/1.4030856 History: Received January 12, 2015; Revised May 27, 2015; Online June 30, 2015

To obtain multiple speed ratios, a synthesis methodology of planetary gear trains (PGTs) with multiple operating degrees-of-freedom (DOFs) is proposed based on the variable structure method. Variable structure of PGT is accomplished by changing the fixed interconnection edge. First, PGTs with two operating DOFs are synthesized with a deduction method based on the relationship between the number of planetary gear sets (PGSs) and number of fixed interconnection edges. Next, connection characteristics of fixed interconnection edges are defined as frequency of utilization to construct original speed ratios of the two operating DOFs schemes. The connection characteristics are then obtained based on the power flow analysis. PGT graph model with connection characteristic is built to provide guidance in the design of varying structure. Finally, multispeed PGTs with multiple operating DOFs are synthesized based on the graph model and lever analogy. A design example for three-PGS PGTs is considered to highlight capabilities of the variable structure method.

Copyright © 2015 by ASME
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Fig. 1

Graph representation of PGTs: (a) PGT and (b) definition of weights

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Fig. 2

Synthesis of two operating DOF PGTs

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Fig. 3

Structure characteristic analysis: (a) 3P2N scheme, (b) composite lever, (c) edge (6, 8), (d) edge (5, 9) with 9-output, (e) edge (5, 9) with 5-output, (f) edge (4, 10) with 4-input, (g) edge (4, 10) with 10-input, and (h) edge (3, 7)

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Fig. 4

Graph model and adjacency matrix of PGT with connection characteristics: (a) Graph model with connection characteristics and (b) the corresponding adjacency matrix

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Fig. 5

Topology synthesis and analysis of multiple operating DOFs PGT: (a) Graph model and (b) properties matrix of scheme

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Fig. 6

Six-speed 3DOF PGTs for scheme in Fig. 3




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