Isomorphism Identification of Planar Mechanism based on Assur-group Adjacency Matrix

The isomorphism identification of structural type is a vital problem now. For dealing with the isomorphism generated in synthesis of planar configuration based on the synthesis method of Assur- group adjacency matrix,a methodology of Assur- group adjacency matrix isomorphism identification is propos...

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Main Authors: Shan Chuncheng, Cao Yi, Liu Kai
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2016-01-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2016.10.012
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author Shan Chuncheng
Cao Yi
Liu Kai
author_facet Shan Chuncheng
Cao Yi
Liu Kai
author_sort Shan Chuncheng
collection DOAJ
description The isomorphism identification of structural type is a vital problem now. For dealing with the isomorphism generated in synthesis of planar configuration based on the synthesis method of Assur- group adjacency matrix,a methodology of Assur- group adjacency matrix isomorphism identification is proposed. First of all,according to the diagonal elements is derived by the amount of Assur- group and active number,the diagonal isomorphism identification is obtained. Then,the condition is classified into three kinds,first is sequence isomorphism when Assur- group is equipped,second is symmetrical configuration isomorphism after adding Assur- group and the last one is discovered in matrix synthesis,which would be recognized and deleted by this method. Finally,the methodology proposed is able to be achieved by computer,easy to control and takes high efficiency in isomorphism identification.
format Article
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institution Kabale University
issn 1004-2539
language zho
publishDate 2016-01-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-dd1a8a199def4f7fa2b79a9e337e8d842025-01-10T14:15:28ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392016-01-0140646929926684Isomorphism Identification of Planar Mechanism based on Assur-group Adjacency MatrixShan ChunchengCao YiLiu KaiThe isomorphism identification of structural type is a vital problem now. For dealing with the isomorphism generated in synthesis of planar configuration based on the synthesis method of Assur- group adjacency matrix,a methodology of Assur- group adjacency matrix isomorphism identification is proposed. First of all,according to the diagonal elements is derived by the amount of Assur- group and active number,the diagonal isomorphism identification is obtained. Then,the condition is classified into three kinds,first is sequence isomorphism when Assur- group is equipped,second is symmetrical configuration isomorphism after adding Assur- group and the last one is discovered in matrix synthesis,which would be recognized and deleted by this method. Finally,the methodology proposed is able to be achieved by computer,easy to control and takes high efficiency in isomorphism identification.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2016.10.012Adjacency matrixIsomorphism identificationAssur-groupKinematic link
spellingShingle Shan Chuncheng
Cao Yi
Liu Kai
Isomorphism Identification of Planar Mechanism based on Assur-group Adjacency Matrix
Jixie chuandong
Adjacency matrix
Isomorphism identification
Assur-group
Kinematic link
title Isomorphism Identification of Planar Mechanism based on Assur-group Adjacency Matrix
title_full Isomorphism Identification of Planar Mechanism based on Assur-group Adjacency Matrix
title_fullStr Isomorphism Identification of Planar Mechanism based on Assur-group Adjacency Matrix
title_full_unstemmed Isomorphism Identification of Planar Mechanism based on Assur-group Adjacency Matrix
title_short Isomorphism Identification of Planar Mechanism based on Assur-group Adjacency Matrix
title_sort isomorphism identification of planar mechanism based on assur group adjacency matrix
topic Adjacency matrix
Isomorphism identification
Assur-group
Kinematic link
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2016.10.012
work_keys_str_mv AT shanchuncheng isomorphismidentificationofplanarmechanismbasedonassurgroupadjacencymatrix
AT caoyi isomorphismidentificationofplanarmechanismbasedonassurgroupadjacencymatrix
AT liukai isomorphismidentificationofplanarmechanismbasedonassurgroupadjacencymatrix