A holographic matrix representation of the metamorphic parallel mechanisms

<p>Metamorphic mechanisms belong to the class of mechanisms that are able to change their configurations sequentially to meet different requirements. In this paper, a holographic matrix representation for describing the topological structure of metamorphic mechanisms was proposed. The matrix i...

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Main Authors: W. Sun, J. Kong, L. Sun
Format: Article
Language:English
Published: Copernicus Publications 2019-08-01
Series:Mechanical Sciences
Online Access:https://www.mech-sci.net/10/437/2019/ms-10-437-2019.pdf
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author W. Sun
W. Sun
J. Kong
J. Kong
L. Sun
author_facet W. Sun
W. Sun
J. Kong
J. Kong
L. Sun
author_sort W. Sun
collection DOAJ
description <p>Metamorphic mechanisms belong to the class of mechanisms that are able to change their configurations sequentially to meet different requirements. In this paper, a holographic matrix representation for describing the topological structure of metamorphic mechanisms was proposed. The matrix includes the adjacency matrix, incidence matrix, links attribute and kinematic pairs attribute. Then, the expanded holographic matrix is introduced, which includes driving link, frame link and the identifier of the configurations. Furthermore, a matrix representation of an original metamorphic mechanism is proposed, which has the ability to evolve into various sub-configurations. And evolutionary relationships between mechanisms in sub-configurations and the original metamorphic mechanism are determined distinctly. Examples are provided to demonstrate the validation of the method.</p>
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spelling doaj.art-1fdd1b63e1474c6cb15288dca4ec2f3e2022-12-21T18:56:52ZengCopernicus PublicationsMechanical Sciences2191-91512191-916X2019-08-011043744710.5194/ms-10-437-2019A holographic matrix representation of the metamorphic parallel mechanismsW. Sun0W. Sun1J. Kong2J. Kong3L. Sun4Key Laboratory of Metallurgical Equipment and Control Technology, Wuhan University of Science and Technology, 430080 Wuhan, ChinaHubei Key Laboratory of Mechanical Transmission and Manufacturing Engineering, Wuhan University of Science and Technology, 430080 Wuhan, ChinaKey Laboratory of Metallurgical Equipment and Control Technology, Wuhan University of Science and Technology, 430080 Wuhan, ChinaHubei Key Laboratory of Mechanical Transmission and Manufacturing Engineering, Wuhan University of Science and Technology, 430080 Wuhan, ChinaSchool of Machinery and Engineering, Wuhan Polytechnic University, 430080 Wuhan, China<p>Metamorphic mechanisms belong to the class of mechanisms that are able to change their configurations sequentially to meet different requirements. In this paper, a holographic matrix representation for describing the topological structure of metamorphic mechanisms was proposed. The matrix includes the adjacency matrix, incidence matrix, links attribute and kinematic pairs attribute. Then, the expanded holographic matrix is introduced, which includes driving link, frame link and the identifier of the configurations. Furthermore, a matrix representation of an original metamorphic mechanism is proposed, which has the ability to evolve into various sub-configurations. And evolutionary relationships between mechanisms in sub-configurations and the original metamorphic mechanism are determined distinctly. Examples are provided to demonstrate the validation of the method.</p>https://www.mech-sci.net/10/437/2019/ms-10-437-2019.pdf
spellingShingle W. Sun
W. Sun
J. Kong
J. Kong
L. Sun
A holographic matrix representation of the metamorphic parallel mechanisms
Mechanical Sciences
title A holographic matrix representation of the metamorphic parallel mechanisms
title_full A holographic matrix representation of the metamorphic parallel mechanisms
title_fullStr A holographic matrix representation of the metamorphic parallel mechanisms
title_full_unstemmed A holographic matrix representation of the metamorphic parallel mechanisms
title_short A holographic matrix representation of the metamorphic parallel mechanisms
title_sort holographic matrix representation of the metamorphic parallel mechanisms
url https://www.mech-sci.net/10/437/2019/ms-10-437-2019.pdf
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