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Abstract: Topological
graph using functional fractionation methods is presented to describe
epicyclic 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.
Key words: Functional
fractionation Epicyclic gear train Topological synthesis
CLC No: TH132
Received 20050712, received in
revised form 20060120 |