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Paper XX.1

Theorems of Structural Variations - Concerning the Inverse of the Stiffness Matrix

A.A. Filali

Laboratorie de Genie Civil de l'Universite, Bordeaux 1, France

doi:10.4203/ccp.2.20.1

A.A. Filali, "Theorems of Structural Variations - Concerning the Inverse of the Stiffness Matrix", in B.H.V. Topping, (Editor), "Proceedings of the Second International Conference on Civil and Structural Engineering Computing", Civil-Comp Press, Edinburgh, UK, pp 149-152, 1985. doi:10.4203/ccp.2.20.1

Abstract

The aim of this paper is to demonstrate new theorems which predict the variation of S^-1, the inverse of the stiffness matrix of a structure, when an element of the structure is modified, by using, as in any theorem of structural variations, a small number of operations on small matrices ; we show that, using these new theorems concurrently with the notion of mother-structure, it is possible to elaborate an efficient method to compute S^-1 itself.

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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: 2/3 PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON CIVIL AND STRUCTURAL ENGINEERING COMPUTING Edited by: B.H.V. Topping Paper XX.1 Theorems of Structural Variations - Concerning the Inverse of the Stiffness Matrix A.A. Filali Laboratorie de Genie Civil de l'Universite, Bordeaux 1, France doi:10.4203/ccp.2.20.1 purchase the full-text of this paper Full Bibliographic Reference for this paper A.A. Filali, "Theorems of Structural Variations - Concerning the Inverse of the Stiffness Matrix", in B.H.V. Topping, (Editor), "Proceedings of the Second International Conference on Civil and Structural Engineering Computing", Civil-Comp Press, Edinburgh, UK, pp 149-152, 1985. doi:10.4203/ccp.2.20.1 Abstract The aim of this paper is to demonstrate new theorems which predict the variation of S^-1, the inverse of the stiffness matrix of a structure, when an element of the structure is modified, by using, as in any theorem of structural variations, a small number of operations on small matrices ; we show that, using these new theorems concurrently with the notion of mother-structure, it is possible to elaborate an efficient method to compute S^-1 itself. 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 £90 +P&P)
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