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L. Selna and A. Hakam

Department of Civil and Environmental Engineering, University of California, Los Angeles, California, United States of America

doi:10.4203/ccp.71.4.1

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L. Selna, A. Hakam, "Least Square Methods in Structural Analysis", in G. De Roeck, B.H.V. Topping, (Editors), "Computational Civil and Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 43-56, 2000. doi:10.4203/ccp.71.4.1

Abstract

A new approach to structural analysis is presented. The method uses equilibrium and deformation geometry field relations directly without resorting to an energy formulation. A matrix vector of errors in the field relations is minimized first with respect to the internal quantities, e.g., the moments. Subsequently the error is minimized with respect to the external forces and displacements. In the latter formulation, the internal quantities have been eliminated by back substitution. The least-square method for minimizing functional forms is the precedent for this work. The method is tested on beam and plate problems. The development of the pertinent matrices is interesting and depends on the trial functions used to represent the internal quantities.

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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: 71 COMPUTATIONAL CIVIL AND STRUCTURAL ENGINEERING Edited by: G. De Roeck and B.H.V. Topping Paper IV.1 Least Square Methods in Structural Analysis L. Selna and A. Hakam Department of Civil and Environmental Engineering, University of California, Los Angeles, California, United States of America doi:10.4203/ccp.71.4.1 purchase the full-text of this paper Full Bibliographic Reference for this paper L. Selna, A. Hakam, "Least Square Methods in Structural Analysis", in G. De Roeck, B.H.V. Topping, (Editors), "Computational Civil and Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 43-56, 2000. doi:10.4203/ccp.71.4.1 Abstract A new approach to structural analysis is presented. The method uses equilibrium and deformation geometry field relations directly without resorting to an energy formulation. A matrix vector of errors in the field relations is minimized first with respect to the internal quantities, e.g., the moments. Subsequently the error is minimized with respect to the external forces and displacements. In the latter formulation, the internal quantities have been eliminated by back substitution. The least-square method for minimizing functional forms is the precedent for this work. The method is tested on beam and plate problems. The development of the pertinent matrices is interesting and depends on the trial functions used to represent the internal quantities. 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 £75 +P&P)
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