GBT-based vibration analysis using the exact element method

DOI10.1142/S0219455418500682MaRDI QIDQ6493034

Dinar Camotim, Rui Bebiano, Rodrigo Gonçalves, Moshe Eisenberger

Publication date: 26 April 2024

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

zbMATH Keywords

free vibrationthin-walled memberspower series solutionexact element methodgeneralized beam theory (GBT)

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) 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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