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T. Sokol, "On the Geometric Stiffness Matrix in Corotational Space Frame Elements", in B.H.V. Topping, (Editor), "Advances in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 77-89, 1996. doi:10.4203/ccp.43.5.1

Abstract

This paper presents the co-rotational formulation of space frame element in geometrically non-linear problems. Large rotations as well as large displacements are taken into account. Oran's co-rotational formulation and his concept of a "joint orientation matrix" are applied. The attention is focused on the tangent stiffness matrix in 3D frame elements, with special case given to deriving the geometric stiffness matrix. It is shown that this matrix, which occurs as a result of rigid body rotation, can be derived by a consistent differentiating scheme. The transformation between global and local (co-rotational) coordinates is presented in detail. Oran's element is examined in two numerical tests, which indicate its high precision in analysing the stability of space frames.

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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.1 On the Geometric Stiffness Matrix in Corotational Space Frame Elements T. Sokol Warsaw University of Technology, Centre of Computer Methods, Warsaw, Poland doi:10.4203/ccp.43.5.1 purchase the full-text of this paper Full Bibliographic Reference for this paper T. Sokol, "On the Geometric Stiffness Matrix in Corotational Space Frame Elements", in B.H.V. Topping, (Editor), "Advances in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 77-89, 1996. doi:10.4203/ccp.43.5.1 Abstract This paper presents the co-rotational formulation of space frame element in geometrically non-linear problems. Large rotations as well as large displacements are taken into account. Oran's co-rotational formulation and his concept of a "joint orientation matrix" are applied. The attention is focused on the tangent stiffness matrix in 3D frame elements, with special case given to deriving the geometric stiffness matrix. It is shown that this matrix, which occurs as a result of rigid body rotation, can be derived by a consistent differentiating scheme. The transformation between global and local (co-rotational) coordinates is presented in detail. Oran's element is examined in two numerical tests, which indicate its high precision in analysing the stability of space frames. 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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