Hypergraph modeling and its application to vehicle transmission system

For the performance analysis on any structural type of vehicle transmission system, the modeling of vehicle transmission system based on hypergraph theory is studied. After the basic principle and procedures of hypergraph modeling are expounded, the hypergraphs model for the rotation speed and torque of typical transmission components are constructed first by mapping the parts of transmission components into the vertices of hypergraph models, while mapping theirs physical connections into the edges of hypergraph models. Then with the virtual vertices introduced, the input and output of transmission system are mapped into the source and target vertices of hpyergraph models, and the speed and torque hypergraph models for the complete transmission system are built. Finally based on the depth-first search algorithm, the topological manipulations on rotation speed hypergraph model are carried out, realizing the automated analysis on shifting gear of transmission system.