GBT-based buckling analysis using the exact element method

DOI10.1142/S0219455417501255MaRDI QIDQ6492841

Rodrigo Gonçalves, Moshe Eisenberger, Rui Bebiano, Dinar Camotim

Publication date: 26 April 2024

Published in: International Journal of Structural Stability and Dynamics (Search for Journal in Brave)

zbMATH Keywords

thin-walled memberspower series solutionlinear bucklingexact element methodgeneralized beam theory (GBT)

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

• Unnamed Item
• Buckling behaviour of elliptical cylindrical shells and tubes under compression
• GBT-based semi-analytical solutions for the plastic bifurcation of thin-walled members
• Buckling and Vibration Analysis of Cold-Formed Steel CHS Members and Frames Using Generalized Beam Theory
• An exact element method
• Exact static and dynamic stiffness matrices for general variable cross section members
• Exact solution for general variable cross-section members
• Derivation of shape functions for an exact 4‐D.O.F. Timoshenko beam element
• A GENERAL ALGORITHM FOR COMPUTING NATURAL FREQUENCIES OF ELASTIC STRUCTURES

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