TY - JOUR
T1 - Number synthesis of kinematic chains based on permutation groups
AU - Yan, Hong Sen
AU - Hwang, Yii Wen
N1 - Funding Information:
The authors are thankful to National Science Council of the Republic of China for supporting this research under Grant NSC79-0401-EOO608.
PY - 1990
Y1 - 1990
N2 - A systematic and precise approach is developed for enumerating non-isomorphic kinematic chains based on the theory of permutation groups. First, we define contracted link adjacency matrices of kinematic chains, and elements in the matrices are separated into four sets. We then propose an algorithm for assigning values to elements of these sets to generate non-isomorphic configurations according to their permutation groups. As a result, the numbers of simple kinematic chains with up to twelve links and seven degrees of freedom are listed.
AB - A systematic and precise approach is developed for enumerating non-isomorphic kinematic chains based on the theory of permutation groups. First, we define contracted link adjacency matrices of kinematic chains, and elements in the matrices are separated into four sets. We then propose an algorithm for assigning values to elements of these sets to generate non-isomorphic configurations according to their permutation groups. As a result, the numbers of simple kinematic chains with up to twelve links and seven degrees of freedom are listed.
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U2 - 10.1016/0895-7177(90)90069-Y
DO - 10.1016/0895-7177(90)90069-Y
M3 - Article
AN - SCOPUS:0025645379
SN - 0895-7177
VL - 13
SP - 29
EP - 42
JO - Mathematical and Computer Modelling
JF - Mathematical and Computer Modelling
IS - 8
ER -