AUTOMATIC SYNTHESIS OF DISPLACEMENT GRAPHS FOR PLANETARY GEAR TRAINS

Based on the mechanism graph representation, a systematic algorithm is developed for the automatic synthesis of displacement graphs for plan etary gear trains. First, the graph representation and fundamental rul es of planetary gear trains are introduced. Next, we propose an algori thm for the automatic enumeration of the adjacency matrices of the gra phs of N-link planetary gear trains from those of (N - 1)-link planeta ry gear trains. The structural codes of graphs is used as a mathematic al tool to identify graph isomorphism. Finally, a computer program is developed for the automatic synthesis of nonisomorphic planetary gear trains. In this paper, an atlas of displacement graphs for one-DOF pla netary gear trains with up to eight links has been constructed.