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A. Kaveh and A. Mokhtar-zadeh

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

doi:10.4203/ccp.19.1.3

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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	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 doi:10.4203/ccp.19.1.3 purchase the full-text of this paper 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. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £58 +P&P)
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