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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 19
DEVELOPMENTS IN COMPUTATIONAL ENGINEERING MECHANICS
Edited by: B.H.V. Topping
Paper I.3

A Comparative Study of the Combinatorial and Algebraic Force Methods

A. Kaveh and A. Mokhtar-zadeh

Department of Civil Engineering, Iran University of Science and Technology, Narmak, Tehran, Iran

Full Bibliographic Reference for this paper
A. Kaveh, A. Mokhtar-zadeh, "A Comparative Study of the Combinatorial and Algebraic Force Methods", in B.H.V. Topping, (Editor), "Developments in Computational Engineering Mechanics", Civil-Comp Press, Edinburgh, UK, pp 21-30, 1993. doi:10.4203/ccp.19.1.3
Abstract
In this paper the computation of sparse statical (null) bases is studied for use in the force method of structural analysis. A comparative study of combinatorial methods and algebraic approaches is made. Combinatorial methods, employ the graph theory and construct statical bases on the elements of selected cycle bases of the structural models. Algebraic methods use matrix algebra for direct formulation of statical bases from the equilibrium equation. The sparsity of the selected bases generated by three combinatorial methods and three algebraic approaches, and the running time, are compared through many examples.

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