Adjacency Graph Based Matrix Representations and Operations of Metamorphic Mechanisms

doi:10.13190/j.jbupt.2014.04.001

JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM ›› 2014, Vol. 37 ›› Issue (4): 1-5.doi: 10.13190/j.jbupt.2014.04.001

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Adjacency Graph Based Matrix Representations and Operations of Metamorphic Mechanisms

BAI Guo-chao^1,2, LI Duan-ling¹, WEI Shi-min¹, LIAO Qi-zheng¹, DAI Jian-sheng²

1. School of Automation, Beijing University of Posts and Telecommunications, Beijing 100876, China;
2. King's College London, University of London, London WC2R 2LS, UK

Received:2013-11-12 Online:2014-08-28 Published:2014-08-09

Abstract

Abstract:

Metamorphic mechanisms are widely studied and applied in theory and practice because of their characteristics of variable topological structures. The adjacency matrix is used in representation and operation of link changes. But this method is not available in configuration transformation with multiple joints and characteristics change of joints of metamorphic mechanisms, also the information of the matrix is poor. So it doesn't represent the configurations of metamorphic mechanisms intuitively. This article used adjacency graph to represent the topology of mechanism. The adjacency matrix of joint was proposed to represent the concrete information of the metamorphic mechanism. The metamorphic equation is constructed by multiplying elementary matrixes, and it is used to describe the transformations from one configuration to another. The verified examples indicate that the results obtained with the method have intuitive and comprehensive information of the configuration, and the method is easy to computer aided analysis.

Key words: metamorphic mechanism, adjacency graph, configuration transformation, matrix operation

CLC Number:

TH112

BAI Guo-chao, LI Duan-ling, WEI Shi-min, LIAO Qi-zheng, DAI Jian-sheng. Adjacency Graph Based Matrix Representations and Operations of Metamorphic Mechanisms[J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2014, 37(4): 1-5.

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Adjacency Graph Based Matrix Representations and Operations of Metamorphic Mechanisms

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[1]	ZHANG Zhong-hai, LI Duan-ling. Description of Displacement Subgroup for Structure Transformations of Metamorphic Mechanisms [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2013, 36(3): 44-48,59.
[2]	ZHANG Zhong-hai, LI Duan-ling, LIAO QI-zheng. Representation of Topological Structures and Analysis of Configuration Transformations of Compliant Metamorphic Mechanisms [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2010, 33(3): 75-79.
[3]	ZOU Hua, FANG Wei-ning. The RAG Based Separation and Processing of Characters in the Mechanical Drawing Intelligent Recognition [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2000, 23(2): 19-23.