| Derivation and isomorphism identification of valid topological graphsfor 1-, 2-DOF planar closed mechanisms by characteristic strings Yi Lu*, Bingyi Mao, Jianping Yu
The Journal of Mechanical Science and Technology, vol. 25, no. 1, pp.255-263, 2011
Abstract : A characteristic string approach is presented for derivation and isomorphism identification of valid topological graphs (TGs) for some
1, 2-DOF (degree of freedom) planar closed mechanisms from the contracted graphs (CGs). First, topological graph (TG) is simplified by
the topology graph with digits (DTG) for the 1-, 2-DOF planar closed mechanisms. Second, the equivalent conditions between the characteristic
string and DTG are determined and verified by some created simulation mechanisms of valid TGs, a complicated derivation of
TG is transformed into an easy derivation of the characteristic string. Third, the valid characteristic strings are derived corresponding to
non-isomorphic TGs, and the invalid characteristic strings corresponding to the isomorphic and invalid TGs are determined using the
characteristic string. Finally, many valid characteristic strings for the 2-DOF planar mechanisms are derived from some valid characteristic
strings for the 1-DOF planar mechanisms.
Keyword :
Type synthesis; Closed mechanism; Topological graph; Characteristic string
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