The creative design of mechanisms has been widely believed as one of the most important
branches in the theory of mechanisms. Beside, the structural synthesis of kinematic chains …

A conventional parallel manipulator (PM) generally employs independent serial kinematic
chains to support one rigid moving platform. Compared with PMs, generalized parallel …

Planetary gear trains (PGTs) are widely used in machinery to transmit angular velocity ratios
or torque ratios. The graph theory has been proved to be an effective tool to synthesize and …

Use of graph theory for enumeration of Epicyclic gear trains (EGTs) is common during
conceptual stage. According to theory of structural synthesis of EGTs, two kinds of graphs …

Isomorphism of kinematic chains (KCs) has always been a critical issue for the researchers
dealing with structural synthesis. Consequently, many researchers of repute presented …

This paper proposes an automatic method to synthesize planar non-fractionated kinematic
chains with two multiple joints, which are generated from kinematic chains with one multiple …

This study establishes a “structure theory,” including topology, common properties,
synthesis, and analysis of various F-DOF, ñ-link, K-independent loops, and V-multiple joint …

Planetary gear trains (PGTs) are widely used in transmission systems. The structural
synthesis of PGTs is an effective way to create novel and excellent transmissions. In the …

Kinematic chain isomorphism identification is a crucial issue in mechanism topology and an
important application of Graph Isomorphism to mechanisms. In this paper, a kinematic chain …

It has always been a challenge for the researchers to detect isomorphism of the kinematic
chains since this leads to the most critical and intolerable problem of duplicate structures. In …