基于邻接图的变胞机构的矩阵描述及演算

doi:10.13190/j.jbupt.2014.04.001

北京邮电大学学报 ›› 2014, Vol. 37 ›› Issue (4): 1-5.doi: 10.13190/j.jbupt.2014.04.001

• 论文 • 下一篇

基于邻接图的变胞机构的矩阵描述及演算

白国超^1,2, 李端玲¹, 魏世民¹, 廖启征¹, 戴建生²

1. 北京邮电大学自动化学院, 北京 100876;
2. 伦敦大学国王学院, 伦敦 WC2R 2LS

收稿日期:2013-11-12 出版日期:2014-08-28 发布日期:2014-08-09
作者简介:白国超（1987-），男，博士生，E-mail：bgch2006@163.com.
基金资助:
国家自然科学基金项目（51375058，51375059）；国家高技术研究发展计划项目（2011AA040203）；新世纪优秀人才支持计划项目（NECT-12-0796）；高等学校博士学科点专项科研基金项目（20120005110008）

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

摘要/Abstract

摘要：

邻接矩阵法可以对杆件的数目变化进行表示和演算，但这种方法对于变胞机构中复合铰链的构态变换及描述铰链的邻接关系变化的情况不完全适用，且矩阵所含信息较少，不能直观地反应机构构态特性. 为此，应用邻接图表示机构的拓扑结构，并提出了描述机构详细信息的铰链邻接矩阵，此矩阵可与初等变换矩阵构造变胞方程，从而实现机构从初始构态到任意构态的矩阵演算. 通过实例验证可得，基于邻接图的矩阵描述及演算方法获得的结果包含直观和全面的机构构态信息，便于计算机辅助分析.

关键词: 变胞机构, 邻接图, 构态变换, 矩阵演算

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

中图分类号:

TH112

白国超, 李端玲, 魏世民, 廖启征, 戴建生. 基于邻接图的变胞机构的矩阵描述及演算[J]. 北京邮电大学学报, 2014, 37(4): 1-5.

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.

参考文献

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基于邻接图的变胞机构的矩阵描述及演算

Adjacency Graph Based Matrix Representations and Operations of Metamorphic Mechanisms

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[1]	张忠海, 李端玲. 变胞机构结构变换的位移子群描述方法[J]. 北京邮电大学学报, 2013, 36(3): 44-48,59.
[2]	张忠海李端玲廖启征. 柔性变胞机构的拓扑结构表示及构态变换分析[J]. 北京邮电大学学报, 2010, 33(3): 75-79.