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R. Levy, E. Gal, "Geometrically Nonlinear Analysis of Shells", in B.H.V. Topping, B. Kumar, (Editors), "Developments in Analysis and Design using Finite Element Methods", Civil-Comp Press, Edinburgh, UK, pp 233-240, 1999. doi:10.4203/ccp.59.9.2

Abstract

A basic ingredient to the success of a FE analysis of shells undergoing large rotations is the geometric stiffness matrix. The geometric stiffness matrix for is usually derived by discretizing the nonlinear governing equations that include large strains in the formulations.

This paper derives the geometric stiffness matrix somewhat differently. The equilibrium equations for a flat element that can take both membrane stretching and bending are first perturbed following Levy and Spillers to yield the in-plane geometric stiffness matrix. Out-of-plane considerations finally provide an additional geometric stiffness matrix that together with the elastic stiffness matrix and the in-plane geometric stiffness matrix defines the tangential stiffness matrix.

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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: 59 DEVELOPMENTS IN ANALYSIS AND DESIGN USING FINITE ELEMENT METHODS Edited by: B.H.V. Topping and B. Kumar Paper IX.2 Geometrically Nonlinear Analysis of Shells R. Levy and E. Gal Faculty of Civil Engineering, Technion-Israel Institute of Technology, Haifa, Israel doi:10.4203/ccp.59.9.2 purchase the full-text of this paper Full Bibliographic Reference for this paper R. Levy, E. Gal, "Geometrically Nonlinear Analysis of Shells", in B.H.V. Topping, B. Kumar, (Editors), "Developments in Analysis and Design using Finite Element Methods", Civil-Comp Press, Edinburgh, UK, pp 233-240, 1999. doi:10.4203/ccp.59.9.2 Abstract A basic ingredient to the success of a FE analysis of shells undergoing large rotations is the geometric stiffness matrix. The geometric stiffness matrix for is usually derived by discretizing the nonlinear governing equations that include large strains in the formulations. This paper derives the geometric stiffness matrix somewhat differently. The equilibrium equations for a flat element that can take both membrane stretching and bending are first perturbed following Levy and Spillers to yield the in-plane geometric stiffness matrix. Out-of-plane considerations finally provide an additional geometric stiffness matrix that together with the elastic stiffness matrix and the in-plane geometric stiffness matrix defines the tangential stiffness matrix. 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 £74 +P&P)
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