TY - JOUR
T1 - STRUCTURAL SYNTHESIS OF CONTRACTED GRAPHS.
AU - Hsu, C. H.
AU - Yan, Hong-Sen
PY - 1986/4/1
Y1 - 1986/4/1
N2 - The structural synthesis of planar kinematic chains, utilizing graph theory, must have a complete catalog of contracted graphs. Based on Euler's formula and graph theory, a systematic procedure for the structural synthesis of the (N plus 1) independent loops contracted graphs derived from the N independent loops contracted graphs is presented in this paper. The vertex assortment and characteristic polynomial of contracted graphs are introduced to identify the isomorphism of contracted graphs with the aid of direct inspection. By the application of the proposed procedure, the catalog of contracted graphs for any number of independent loops can be synthesized systematically. A list of the complete catalog of contracted graphs up to four independent loops is presented.
AB - The structural synthesis of planar kinematic chains, utilizing graph theory, must have a complete catalog of contracted graphs. Based on Euler's formula and graph theory, a systematic procedure for the structural synthesis of the (N plus 1) independent loops contracted graphs derived from the N independent loops contracted graphs is presented in this paper. The vertex assortment and characteristic polynomial of contracted graphs are introduced to identify the isomorphism of contracted graphs with the aid of direct inspection. By the application of the proposed procedure, the catalog of contracted graphs for any number of independent loops can be synthesized systematically. A list of the complete catalog of contracted graphs up to four independent loops is presented.
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M3 - Article
AN - SCOPUS:0022699665
SN - 0257-9731
VL - 7
SP - 125
EP - 135
JO - Journal of the Chinese Society of Mechanical Engineers, Transactions of the Chinese Institute of Engineers, Series C/Chung-Kuo Chi Hsueh Kung Ch'eng Hsuebo Pao
JF - Journal of the Chinese Society of Mechanical Engineers, Transactions of the Chinese Institute of Engineers, Series C/Chung-Kuo Chi Hsueh Kung Ch'eng Hsuebo Pao
IS - 2
ER -