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Combinatorial Representations in Structural Analysis
Publisher: American Society of Civil Engineers
Abstract: The work presented in this paper is part of a general research work, during which combinatorial representations based on graph and matroid theories were developed and then applied to different engineering fields. The main ...
A Study of the Duality Between Planar Kinematics and Statics
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper provides geometric insight into the correlation between basic concepts underlying the kinematics of planar mechanisms and the statics of simple trusses. The implication of this ...
Extension of Graph Theory to the Duality Between Static Systems and Mechanisms
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper is a study of the duality between the statics of a variety of structures and the kinematics of mechanisms. To provide insight into this duality, two new graph representations are ...