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The Perimeter Loop-Based Method for the Automatic Isomorphism Detection in Planetary Gear Trains
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: 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 structural synthesis of PGTs, the isomorphism ...
The Complete Set of One-Degree-of-Freedom Planetary Gear Trains With Up to Nine Links
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The structural synthesis of planetary gear trains (PGTs) is helpful for innovating transmission systems in machinery. A great deal of research has been devoted to the synthesis of one-degree-of-freedom (1-DOF) PGTs over ...
Compound Topological Invariant Based Method for Detecting Isomorphism in Planar Kinematic Chains
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: An important step in the structural synthesis of kinematic chains (KCs) or mechanisms is the detection of isomorphic structures. Although many detection methods have been proposed, most of them require complex computations ...
Connectivity Calculation-Based Automatic Synthesis of Planar Multi-Loop Mechanisms
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The creative design of kinematic structures with excellent performance remains an open issue in the quest for developing novel multi-loop mechanisms. This study presents an automatic method to synthesize all nonisomorphic ...
Studying the Optimal Layout of Topological Graphs to Facilitate the Automatic Sketching of Kinematic Chains
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The sketching of kinematic chains is important in the conceptual design of mechanisms. In general, the process of sketching kinematic chains can be divided into two steps, namely sketching topological graphs and converting ...
New Graph Representation for Planetary Gear Trains
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: 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 analyze PGTs. This paper aims to ...