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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 33
DEVELOPMENTS IN COMPUTATIONAL TECHNIQUES FOR STRUCTURAL ENGINEERING Edited by: B.H.V. Topping
Paper II.6
Substructuring for the Combinatorial Force Method of Structural Analysis A. Kaveh, G.R. Roosts and A. Mokhtar-Zadeh
Iranian Academy of Science and Iran University of Science and Technology, Tehran, Iran A. Kaveh, G.R. Roosts, A. Mokhtar-Zadeh, "Substructuring for the Combinatorial Force Method of Structural Analysis", in B.H.V. Topping, (Editor), "Developments in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 53-60, 1995. doi:10.4203/ccp.33.2.6
Abstract
In this paper an efficient algorithm is designed for
substructuring, for use in parallel computing, employing
simple concepts of graph theory. This algorithm partitions
the graph model of a structure into subgraphs with equal or
nearly equal first Betti numbers, while keeping the interface
nodes to the smallest possible. The complete formulation of
the force method is provided and examples are included to
illustrate the decomposition method presented.
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