Advanced Technique of Type Synthesis and Construction of Veritable Complete Atlases of Multiloop F-DOF Generalized Kinematic Chains

Abstract

This paper proposes a new straightforward and advanced approach to structural synthesis, classification and construction of complete atlas databases for creative design of multiloop F-DOF planar closed mechanisms. First, a new simple and reliable synthesis method based on various compositions of the contracted graphs circles, the number of independent loops and the quantity of binary links as primary main structural parameters for generation and systematization of all feasible K-loop F-DOF topological graphs and generalized closed multiloop kinematic chains is presented. Then the complete atlas of all feasible 20 types of 1-DOF, 3-loop, 8-link, V = 0 planar closed kinematic chains without rigid subchains (including the 4 new kinematic chains) and the complete atlas of all feasible 59 types of 2-DOF, 3-loop, 9-link, V = 0 planar closed kinematic chains without rigid subchains (including the 19 new non-fractionated and link-fractionated kinematic chains) are synthesized and revealed for the first time. The results of this paper can be used for the construction of complete atlases of all feasible generalized kinematic chains with specified input parameters and the invention of F-DOF novel mechanisms in creative design of mechanisms.