Computational Technology Resources - CCC

G. Turkalj, D. Banić, D. Lanc, "A Finite Element Formulation for Buckling Analysis of Unbalanced Laminated Beam-Type Structures", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Eighteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 10, Paper 14.1, 2025,

Keywords: thin-walled beam-type structure, unbalanced angle-ply laminates, beam finite element, buckling, large rotations, stability analysis.

Abstract

This work introduces an improved shear-deformable beam formulation buckling analysis of laminated composite beam-type structures with thin-walled cross-sections. Each wall of a cross-section is assumed to be a thin symmetric and unbalanced angle-ply laminate. The equilibrium equations of a straight beam element are derived by applying the virtual work principle within the framework of Lagrangian formulation, Hooke's law and the nonlinear displacement field of a thin-walled cross-section, which takes into account restrained warping and large rotation effects. Stress resultants are calculated by the Timoshenko–Ehrenfest beam theory for bending and the modified Vlasov theories for torsion. Shear coupling problems occurring at unbalanced laminated thin-walled cross-sections and arising from the shear forces-warping torsion moment couplings are considered. The shear-locking occurrence is prevented by applying the Hermitian cubic interpolation functions for deflections and twist rotation, and the associated quadratic functions for slopes and warping. The effectiveness of the proposed geometrically nonlinear shear-deformable beam formulation is validated through the test problems.

download the full-text of this paper (PDF, 8 pages, 618 Kb)

go to the previous paper
go to the next paper
return to the table of contents
return to the volume description

	Computational & Technology Resources an online resource for computational, engineering & technology publications
	not logged in - login
Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 10 PROCEEDINGS OF THE EIGHTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: P. Iványi, J. Kruis and B.H.V. Topping Paper 14.1 A Finite Element Formulation for Buckling Analysis of Unbalanced Laminated Beam-Type Structures G. Turkalj, D. Banić and D. Lanc Faculty of Engineering, Department of Engineering Mechanics, University of Rijeka, Croatia Full Bibliographic Reference for this paper G. Turkalj, D. Banić, D. Lanc, "A Finite Element Formulation for Buckling Analysis of Unbalanced Laminated Beam-Type Structures", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Eighteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 10, Paper 14.1, 2025, Keywords: thin-walled beam-type structure, unbalanced angle-ply laminates, beam finite element, buckling, large rotations, stability analysis. Abstract This work introduces an improved shear-deformable beam formulation buckling analysis of laminated composite beam-type structures with thin-walled cross-sections. Each wall of a cross-section is assumed to be a thin symmetric and unbalanced angle-ply laminate. The equilibrium equations of a straight beam element are derived by applying the virtual work principle within the framework of Lagrangian formulation, Hooke's law and the nonlinear displacement field of a thin-walled cross-section, which takes into account restrained warping and large rotation effects. Stress resultants are calculated by the Timoshenko–Ehrenfest beam theory for bending and the modified Vlasov theories for torsion. Shear coupling problems occurring at unbalanced laminated thin-walled cross-sections and arising from the shear forces-warping torsion moment couplings are considered. The shear-locking occurrence is prevented by applying the Hermitian cubic interpolation functions for deflections and twist rotation, and the associated quadratic functions for slopes and warping. The effectiveness of the proposed geometrically nonlinear shear-deformable beam formulation is validated through the test problems. download the full-text of this paper (PDF, 8 pages, 618 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
Back to top	©Civil-Comp Limited 2023 - terms & conditions