Topological Synthesis and Configuration Design of Planetary Gear Trains Based on the Transformation of Linkage Kinematic Chains

doi:10.3901/JME.2025.11.086

Abstract

Abstract: A transformation method is proposed to realize the topological synthesis of planetary gear trains (PGTs) based on the established atlas of topological graphs of planar linkage kinematic chains. Firstly, the concepts of transformation vertex and transformation unit in the topological graph of planar linkage kinematic chain are defined, and the transformation relationship between the topological graphs of planar linkage kinematic chain and PGT is explained. Secondly, the four rules that the topological graph of kinematic chain that can be transformed must meet are proposed, and the topological graphs of kinematic chains with up to 14 links and 1-3 DOFs that meet the constraints are automatically screened out from the atlas database. Then, the selection principle of transformation vertices and the situation of isomorphic PGTs are analyzed, the topological synthesis of PGTs is studied, and the topological synthesis software of PGTs based on MFC is developed. The PGTs with up to 9 links and 1-3 DOFs are automatically synthesized, and the classification database of PGTs is established according to the numbers of links, DOFs and multiple joints. Finally, based on the classification database of PGTs, the creative design of mechanisms of the 6-speed automatic transmission is studied, the speed ratio and transmission efficiency of the mechanism are analyzed, and the effectiveness of the mechanism configuration is verified.

Key words: linkage kinematic chain, topological graph, planetary gear train, topological synthesis, creative design of mechanism

CLC Number:

TH112

YANG Wenjian, LI Yongtao, GAN Jinqiang, DING Huafeng. Topological Synthesis and Configuration Design of Planetary Gear Trains Based on the Transformation of Linkage Kinematic Chains[J]. Journal of Mechanical Engineering, 2025, 61(11): 86-105.

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