摘要
提出基于功能离散法的拓扑图描述周转轮系,建立轮系拓扑单元的三个层次,总结出复杂轮系是在3种基本单元的基础上组成的,并根据基本单元的组合特点,提出4种组合方式。对拓扑图作缩微变换,建立了拓扑图的分层邻接矩阵,给出了同构判定步骤,为轮系的拓扑综合提供了理论基础。依据拓扑图中回路的特点,将常见的周转轮系分为四类轮系。以六齿轮周转轮系为例,提出轮系基本单元组合的统计方法,对于每一个基本单元的组合,依据拓扑演化规律得到拓扑图谱,并利用拓扑反演规律推导出各种可能的周转轮系。结果证明此拓扑综合法是构建新型行星轮系的方便有效方法,此方法具有一般性,可应用于多构件周转轮系的拓扑综合。
Topological graph using functional fractionation methods is presented to describe cpicyclic gear trains （EGTs）. Three levels of topological units are established. It is summarized that three basic units compose Complex EGTs. Based on the combinational characteristics of basic units, four combination modes are put forward. Micro-transformation is performed on topological graph and stratified adjacency matrix is established, approaches of isomorphism criterion are given that provide theoretical basis for topological synthesis of EGTs. According to the characteristics of loops in topological graphs, common EGTs are divided into four kinds of gear trains. By taking EGTs containing six gears for instance, statistical methods for four sorts of EGTs are derived. For each combination of basic units, topological atlases are synthesized by evolution rules and various possible EGTs are deduced by inversion rules. The results show that topological synthesis method is a convenient and effective method for constructing innovative planetary mechanisms. The method may be universally applied to the topological synthesis of multimember EGTs.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2006年第6期40-45,50,共7页
Journal of Mechanical Engineering
关键词
功能离散
周转轮系
拓扑综合
Functional fractionation Epicyclic gear trainTopological synthesis
