A New Molecular Approach for Creative Design of Multiloop Linkages and Planetary Gear Mechanisms via Novel NTG-Graph Representation

This paper presents totality an extended structural mathematical model and technique forming the K-atom molecule as novel graph representation of closed kinematic chain and set of a new universal mobility equations inferred a tool for creation any types of F-DOF planar and spatial mechanisms without injurious redundant constraints. Various examples of creative design the F-DOF self-aligning linkages in form invention and multisatellite planetary gear train are provided and confirms the effectiveness of proposed approach.