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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 33
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

Full Bibliographic Reference for this paper
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
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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