| Using characteristic strings to derive valid contracted graphs with hexagonal links plus other links for type synthesis of closed mechanisms
Yi Lu, Yang Lu, Nijia Ye, Bingyi Mao, Chunping Sui and Jianda Han
The Journal of Mechanical Science and Technology, vol. 26, no. 5, pp.1539-1546, 2012
Abstract : "It has been a significant and challenging issue to derive the complex valid contracted graphs (CGs) with hexagonal links plus other
links and identify their isomorphism for creating novel closed mechanisms. This paper focuses on the derivation of the valid CGs with
hexagonal links plus other links using the characteristic strings (CSs). First, the concepts on the CGs and CSs are explained, and the
numbers of vertices and edges in the CGs are solved. Second, the relative criterion are determined for representing/deriving CGs and
identifying isomorphic/invalid CGs by CSs. Third, some simple CGs are derived from some associated linkages with hexagonal links
plus more other links, are represented by CSs, and the isomorphic/invalid CGs are identified using the CSs and the isomorphic queues of
the links. Fourth, some examples are given for illustrating their applications. Finally, many complex valid CGs with more hexagonal
links plus other links are represented and derived using CSs, and their isomorphism are identified using CSs."
Keyword : Mechanism; Type synthesis; Contracted graph; Characteristic string |
