%0 Journal Article %A BAI Guo-chao %A DAI Jian-sheng %A LI Duan-ling %A LIAO Qi-zheng %A WEI Shi-min %T Adjacency Graph Based Matrix Representations and Operations of Metamorphic Mechanisms %D 2014 %R 10.13190/j.jbupt.2014.04.001 %J Journal of Beijing University of Posts and Telecommunications %P 1-5 %V 37 %N 4 %X

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.

%U https://journal.bupt.edu.cn/EN/10.13190/j.jbupt.2014.04.001