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A. Pagani^1,2, 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

Keywords: buckling analysis, Carrera unified formulation, beams, dynamic stiffness method..

Summary

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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 106 PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: Paper 23 Buckling of Beams by Refined Theories and Dynamic Stiffness Method A. Pagani^1,2, 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 doi:10.4203/ccp.106.23 purchase the full-text of this paper 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.. Summary 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. 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 £65 +P&P)
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