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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 106
Edited by:
Paper 23

Buckling of Beams by Refined Theories and Dynamic Stiffness Method

A. Pagani1,2, E. Carrera1 and J.R. Banerjee2

1Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Torino, Italy
2School of Engineering and Mathematical Sciences, City University London, United Kingdom

Full Bibliographic Reference for this paper
A. Pagani, E. Carrera, J.R. Banerjee, "Buckling of Beams by Refined Theories and Dynamic Stiffness Method", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 23, 2014. doi:10.4203/ccp.106.23
Keywords: buckling analysis, Carrera unified formulation, beams, dynamic stiffness method..

This paper is concerned with linearized elastic buckling analysis of columns. The Carrera unified formulation (CUF) is used to formulate variable kinematics beam theories. According to the CUF, Taylor-like polynomials of order N are used to interpolate the cross-sectional displacement field. By using the strong form of the principle of virtual displacements, governing equations and natural boundary conditions are formulated in terms of fundamental nuclei, whose formal expressions do not depend on the order of the theory N. The dynamic stiffness matrix is straightforwardly developed and the algorithm of Wittrick and Williams is used as solution technique to compute critical buckling loads for a number of solid and thin-walled metallic and composite beam-columns. The results computed using the proposed method are compared with those available in the literature. The accuracy and efficiency of the current approach as well as its capability to deal with bending-torsion and coupled buckling modes are demonstrated.

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