单级行星齿轮轮系的类型综合  

Type Synthesis of Single-stage Planetary Gear Train

作　　者：涂宇 聂松辉[2] 王怡 许铁松 TU Yu;NIE Song-hui;WANG Yi;XU Tie-song(Hunan Institute of Traffic Engineering, Hengyang 421001;School of Mechanical Engineering, Xiangtan University, Xiangtan 411105 China)

机构地区：[1]湖南交通工程学院,湖南衡阳421001 [2]湘潭大学机械工程学院,湖南湘潭411105

出　　处：《湘潭大学学报（自然科学版）》2020年第1期118-126,共9页Journal of Xiangtan University(Natural Science Edition)

基　　金：湖南省教育厅科学研究优秀青年项目(18B561);湖南省自然科学省市联合基金项目(2017JJ4054)。

摘　　要：行星齿轮轮系的类型综合对行星齿轮机构的选型和创新设计有着重要作用,该文采用枚举法得到了全部7种含V结构的单级行星齿轮轮系,对于不含V结构的单级行星齿轮轮系,借鉴图论中的拓扑图与邻接矩阵,定义了新的结构不变量——特征向量来表达行星齿轮轮系,提出了改正规则与归一化规则对特征向量进行修正与类型同构识别,得到了不含V结构单级行星齿轮轮系的10种结构类型,并通过实例验证了运用归一化规则进行同构识别的可行性.The type of planetary gear train plays an important role in the selection and innovative design of the planetary gear mechanism.This paper utilizes the enumeration method to obtain a total of seven single-stage planetary gear trains with V structures.For the single-stage planetary gear train without V structure,a new structural invariant-feature vector is defined to express the planetary gear train based on the topological and adjacency matrix in the graph theory.The new proposed correction rule and normalization rule serve to modify the eigenvectors and to identify the type isomorphism.The currrent methodology renders ten types of single-stage planetary gear trains without V structure.Lastly,the paper provides an example to verify the feasibility of using the normalization rules for isomorphic identification.

关 键 词：行星齿轮轮系 类型综合 拓扑图 特征向量 同构识别 

分 类 号：TH132[机械工程—机械制造及自动化]