Kinematic Synthesis of Deployable-Foldable Truss Structures Using Graph Theory, Part 1: Graph Generation

[+] Author and Article Information
D. B. Warnaar

Lockheed Engineering & Sciences Co., Hampton, VA

M. Chew

Lehigh University, Bethiehem, PA

J. Mech. Des 117(1), 112-116 (Mar 01, 1995) (5 pages) doi:10.1115/1.2826094 History: Received April 01, 1990; Revised April 01, 1994; Online January 25, 2008


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.

Copyright © 1995 by The American Society of Mechanical Engineers
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