Affiliation:
1. Lockheed Engineering & Sciences Co., Hampton, VA
2. Lehigh University, Bethiehem, PA
Abstract
Kinematic structural synthesis has been relatively successful when applied to the conceptual design of mechanisms. The approach presented in this paper, however, views the design process from an initial standpoint of a truss structure. First, graphs are generated that represent truss structures with a given number of nodes and links. Each graph is then modified by designating certain edges in the graph to represent links in the structure that incorporate additional degrees of freedom. In so doing, the graph of a structure is transformed into one representing a mechanism. A procedure is presented that enables the exhaustive generation of these graphs for deployable structures of any given number of nodes and links. From these graphs, it is then possible to obtain enumerable novel deployable truss structures as well as those that have been reported in the literature.
Subject
Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials
Reference23 articles.
1. Freudenstein, F., and Dobrjanskyj, L., 1965, “On a Theory of Type Synthesis of Mechanisms,” Proceedings of the 11th International Congress of Applied Mechanisms, Springer, Berlin, pp. 420–428.
2. Crossley, F. R. E., 1965, “The Permutations of Kinematic Chains of Eight Members or Less from the Graph—Theoretic Viewpoint,” Developments in Theoretical and Applied Mechanisms, Vol. 2, W. A. Shaw, ed., Pergamon Press, Oxford, pp. 467–486.
3. Dobrjanskyj
L.
, and FreudensteinF., 1967, “Some Applications of Graph Theory to the Structural Analysis of Mechanisms,” ASME Journal of Engineering for Industry, 89B, pp. 153–158.
4. Buchsbaum
F.
, and FreudensteinF., 1970, “Synthesis of Kinematic Structure of Geared Kinematic Chains and Other Mechanisms,” Journal of Mechanisms, Vol. 5, pp. 357–392.
5. Freudenstein
F.
, 1971, “An Application of Boolean Algebra to the Motion of Epicyclic Drives,” ASME Journal of Engineering for Industry, 93B, pp. 176–182.
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