<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Identification of isomorphic kinematic chains is one of the key issues in researching the structure of mechanisms. As a result the structures which duplicate are eliminated and further research is carried out on kinematic chains that do not duplicate. This dilemma has been taken up by many scholars who have come up with a variety of ideas how to solve it. The review of the methods for identifying the isomorphism of kinematic chains suggested by researchers is contained in this study, including Hamming Number Technique, eigenvalues and eigenvectors, perimeter graphs, dividing and matching vertices. The spectrum of methods applied to the issue of identifying the iso-morphism of mechanisms reflects the researchers’ efforts to obtain a precise result in the shortest time possible.</p></abstract>

Identification of isomorphic kinematic chains is one of the key issues in researching the structure of mechanisms. As a result the structures which duplicate are eliminated and further research is carried out on kinematic chains that do not duplicate. This dilemma has been taken up by many scholars who have come up with a variety of ideas how to solve it. The review of the methods for identifying the isomorphism of kinematic chains suggested by researchers is contained in this study, including Hamming Number Technique, eigenvalues and eigenvectors, perimeter graphs, dividing and matching vertices. The spectrum of methods applied to the issue of identifying the iso-morphism of mechanisms reflects the researchers’ efforts to obtain a precise result in the shortest time possible.

Identifying the Isomorphism of Kinematic Chains

Faculty of Architecture, Cracow University of Technology, ul. Warszawska 24, 31-155 Kraków, Poland

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Identifying the Isomorphism of Kinematic Chains"}

Identification of isomorphic kinematic chains is one of the key issues in researching the structure of mechanisms. As a result the structures which duplicate...

Identifying the Isomorphism of Kinematic Chains

Published Online: Aug 06, 2016

Page range: 195 - 200

Received: May 26, 2014

Accepted: Jul 18, 2016

DOI: https://doi.org/10.1515/ama-2016-0029

Keywords
Isomorphism, Structure of Planar and Spatial Kinematic Chains

© 2016 Bialystok University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Identifying the Isomorphism of Kinematic Chains

Published Online: Aug 06, 2016

Page range: 195 - 200

Received: May 26, 2014

Accepted: Jul 18, 2016

DOI: https://doi.org/10.1515/ama-2016-0029

KeywordsIsomorphism, Structure of Planar and Spatial Kinematic Chains

© 2016 Bialystok University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Isomorphism, Structure of Planar and Spatial Kinematic Chains