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Some Applications of Graph Theory to the Structural Analysis of Mechanisms
195
Citations
0
References
1967
Year
Robot KinematicsNetwork Theory (Electrical Engineering)Directed GraphEngineeringNetwork AnalysisComputer-aided DesignStructural OptimizationComputational MechanicsStructural IdentityGeometric Constraint SolvingStructural Graph TheorySystems EngineeringGraph DrawingDiscrete MathematicsKinematicsComputational GeometrySocial Network AnalysisNetwork Theory (Organizational Economics)Geometric ModelingGeometric Graph TheoryDesignComputer ScienceMechanism AnalysisGraph AlgorithmNetwork ScienceGraph TheoryMechanical SystemsStructural AnalysisBusinessStructural Mechanics
Concepts in graph theory, which have been described elsewhere [2, 4, 6] have been applied to the development of (a) a computerized method for determining structural identity (isomorphism) between kinematic chains, (b) a method for the automatic sketching of the graph of a mechanism defined by its incidence matrix, and (c) the systematic enumeration of general, single-loop constrained spatial mechanisms. These developments, it is believed, demonstrate the feasibility of computer-aided techniques in the initial stages of the design of mechanical systems.