On Finite Deformations of Spatially Curved Bisymmetric Thin-Walled Rods

Author:

Bijak R.1,Kołodziej G.2

Affiliation:

1. 1DSc., Kielce University of Technology, Faculty of Civil Engineering and Architecture, Al. 1000-lecia PP 7, 25-314 Kielce, Poland

2. 2MSc., Kyotec Group, Batalionu Platerówek 3, 03-308 Warsaw. Poland

Abstract

Abstract Deriving the formulas for strain components, we are assuming, that cross-section of a rod being rotated in space during deformation does not need to be perpendicular to deformed centroid line. This not a quite intuitive assumption allows for more compact and easier formulas for strain tensor or equilibrium equations. Derived transformations between actual and initial coordinate system, components of strain tensor and virtual works principle for investigated spatially curved beams of bisymmetric cross-section are shown in this paper. Conformity with other models from referenced literature is also shown.

Publisher

Walter de Gruyter GmbH

Subject

Civil and Structural Engineering

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3. Theoretical and experimental investigation of nonlinear torsion and extension of initially twisted bars Applied Mechanics;Rosen;Trans,1983

4. Elastic flexural - torsional buckling of continuously restrained arches;Pi;Int J Solids Struct,2002

5. Geometrically exact beam theory without Euler angles;Pai;Int J Solids Struct,2011

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