Local linear Timoshenko rod

DOI10.1007/s00707-021-03048-8zbMath1484.74051OpenAlexW3187541865MaRDI QIDQ2234935

N. F. J. van Rensburg, M. Labuschagne, Stephen H. C. du Toit

Publication date: 19 October 2021

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-021-03048-8

zbMATH Keywords

large rotationlinearly elastic materialrod extensionSimo-Reissner theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Classical linear elasticity (74B05)

Related Items

Large displacements and rotations of a local linear elastic rod

Cites Work

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• On the whole spectrum of Timoshenko beams. I: A theoretical revisitation
• Numerical aspects in the dynamic simulation of geometrically exact rods
• Natural frequencies and modes of a Timoshenko beam
• Analysis of a thermoelastic Timoshenko beam model
• Uniform stabilization of a nonlinear beam by nonlinear boundary feedback
• Global existence and uniform stabilization of a nonlinear Timoshenko beam.
• A geometrical nonlinear correction to the Timoshenko beam equation.
• Dynamical problems for geometrically exact theories of nonlinearly viscoelastic rods
• A continuum mechanics based derivation of Reissner's large-displacement finite-strain beam theory: the case of plane deformations of originally straight Bernoulli-Euler beams
• Comparison of linear beam theories
• Using energy methods to compare linear vibration models
• On one-dimensional finite-strain beam theory: the plane problem
• The role of non-linear theories in transient dynamic analysis of flexible structures
• A continuum-mechanics interpretation of Reissner's non-linear shear-deformable beam theory
• Solvability of a Reissner-Mindlin-Timoshenko plate-beam vibration model
• On the Dynamics of Flexible Beams Under Large Overall Motions—The Plane Case: Part I
• On the Dynamics of Flexible Beams Under Large Overall Motions—The Plane Case: Part II
• Boundary Control of the Timoshenko Beam
• Dynamic Buckling of a Nonlinear Timoshenko Beam
• Analysis of the Solvability of Linear Vibration Models
• Existence and uniqueness of solutions of a general linear second-order hyperbolic problem
• The Shear Coefficient in Timoshenko’s Beam Theory
• A numerical algorithm for the nonlinear Timoshenko beam system