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Paper V.3

Geometrically Exact Analysis of Initially Curved Rods

P.M. Pimenta

Department of Structural and Foundation Engineering, University of Sao Paulo, Sao Paulo, Brazil

doi:10.4203/ccp.43.5.3

P.M. Pimenta, "Geometrically Exact Analysis of Initially Curved Rods", in B.H.V. Topping, (Editor), "Advances in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 99-108, 1996. doi:10.4203/ccp.43.5.3

Abstract

Following a pure Lagrangian approach, a fully nonlinear, geometrically exact, finite strain rod model is derived in terms of the rotation parameters from Euler-Rodrigues formula. The parametrization is very useful for numerical procedures employing Galerkin projection and yields a symmetric Fréchet derivative of the weak form of the equilibrium equations. It is shown that initially curved rods can be handled in a straightforward manner, with minor changes in the constitutive equation.

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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: 43 ADVANCES IN COMPUTATIONAL TECHNIQUES FOR STRUCTURAL ENGINEERING Edited by: B.H.V. Topping Paper V.3 Geometrically Exact Analysis of Initially Curved Rods P.M. Pimenta Department of Structural and Foundation Engineering, University of Sao Paulo, Sao Paulo, Brazil doi:10.4203/ccp.43.5.3 purchase the full-text of this paper Full Bibliographic Reference for this paper P.M. Pimenta, "Geometrically Exact Analysis of Initially Curved Rods", in B.H.V. Topping, (Editor), "Advances in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 99-108, 1996. doi:10.4203/ccp.43.5.3 Abstract Following a pure Lagrangian approach, a fully nonlinear, geometrically exact, finite strain rod model is derived in terms of the rotation parameters from Euler-Rodrigues formula. The parametrization is very useful for numerical procedures employing Galerkin projection and yields a symmetric Fréchet derivative of the weak form of the equilibrium equations. It is shown that initially curved rods can be handled in a straightforward manner, with minor changes in the constitutive equation. 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 £68 +P&P)
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