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5. Unified Isomorphism Detection for Planar Kinematic Chains

  • 2022
  • OriginalPaper
  • Chapter
Published in:
Authors
Huafeng Ding
Wenjian Yang
Andrés Kecskeméthy
Published in
Automatic Structural Synthesis and Creative Design of Mechanisms
Publisher
Springer Nature Singapore

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Abstract

The chapter introduces a unified isomorphism detection method for planar kinematic chains, focusing on the concept of perimeter loops to identify and eliminate isomorphic structures efficiently. This method is applicable to simple joint kinematic chains, inversions, and multiple joint kinematic chains, as well as planetary gear trains. The approach simplifies the process by using characteristic codes and canonical graphs, ensuring unique representation and easy comparison. The chapter highlights the practical application of the method in reducing duplication and enhancing the design of mechanisms, making it a valuable resource for professionals in the field.
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previous chapter Loop Algebra of Kinematic Chains
next chapter Unified Rigid Sub-chain Detection for Planar Kinematic Chains
Title
Unified Isomorphism Detection for Planar Kinematic Chains
Authors
Huafeng Ding
Wenjian Yang
Andrés Kecskeméthy
Copyright Year
2022
Publisher
Springer Nature Singapore
Book
Automatic Structural Synthesis and Creative Design of Mechanisms

Print ISBN: 978-981-19-1507-9

Electronic ISBN: 978-981-19-1508-6

Copyright Year: 2022

DOI
https://doi.org/10.1007/978-981-19-1508-6_5
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