基于连杆运动链转化的行星轮系拓扑综合及构型设计

doi:10.3901/JME.2025.11.086

摘要/Abstract

摘要： 在已建立的平面连杆运动链拓扑图库的基础上，提出一种转化法实现行星轮系的拓扑综合。首先，定义了平面连杆运动链拓扑图中转化点和转化单元的概念，阐明了平面连杆运动链拓扑图与行星轮系拓扑图的转化关系；其次，提出了能够进行转化的运动链拓扑图需满足的4个规则约束，从图库中自动筛选出了满足约束的多达14杆的1～3自由度运动链拓扑图；进而，分析了转化点的选择原则，以及同构行星轮系产生的情形，研究了行星轮系的拓扑综合，开发了基于MFC的行星轮系拓扑综合软件，自动综合得到了多达9杆的1～3自由度行星轮系，并根据构件个数、自由度、复合铰链个数建立了行星轮系分类数据库；最后，基于行星轮系分类数据库，研究了6速自动变速器机构的构型创新设计，分析了机构的传动比与传动效率，验证了机构构型的有效性。

关键词: 连杆运动链, 拓扑图, 行星轮系, 拓扑综合, 机构创新设计

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

中图分类号:

TH112

杨文剑, 李永涛, 甘金强, 丁华锋. 基于连杆运动链转化的行星轮系拓扑综合及构型设计[J]. 机械工程学报, 2025, 61(11): 86-105.

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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