Vibration of a Timoshenko beam supporting arbitrary large pre-deformation
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Publication:1703761
DOI10.1007/s00707-017-1953-xzbMath1381.74123OpenAlexW2756178984MaRDI QIDQ1703761
Lalaonirina R. Rakotomanana, Loïc Le Marrec, Jean Lerbet
Publication date: 7 March 2018
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-017-1953-x
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45)
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Cites Work
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- A Timoshenko-like model for the study of three-dimensional vibrations of an elastic ring of general cross-section
- Nonlocal theories for bending, buckling and vibration of beams
- Resonance frequency of chiral single-walled carbon nanotubes using Timoshenko beam theory
- A geometrically-exact rod model incorporating shear and torsion-warping deformation
- A finite strain beam formulation. The three-dimensional dynamic problem. I
- On the dynamics in space of rods undergoing large motions - A geometrically exact approach
- The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates
- Peculiar instabilities due to the clamping of shearable rods
- Stability and dispersion analysis of improved time discretization for simply supported prestressed Timoshenko systems. Application to the stiff piano string
- 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
- On one-dimensional finite-strain beam theory: the plane problem
- A general solution for dynamic response of axially loaded non-uniform Timoshenko beams
- Vibrations and buckling of a beam on a variable winkler elastic foundation
- A SERIES EXPANSION APPROACH TO INTERPRETING THE SPECTRA OF THE TIMOSHENKO BEAM
- A continuum-mechanics interpretation of Reissner's non-linear shear-deformable beam theory
- Elastic waves in Timoshenko beams: the ‘lost and found’ of an eigenmode
- The Equations for Large Vibrations of Strings
- Kirchhoff’s problem for nonlinearly elastic rods
- Non-linear three-dimensional large-amplitude damped free vibration of a stiff elastic stretched string
- Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation
- The Critical Role of the Base Curve for the Qualitative Behavior of Shearable Rods
- Superposed standing waves in a Timoshenko beam
- DYNAMICS OF TRANSVERSELY VIBRATING BEAMS USING FOUR ENGINEERING THEORIES
- A First Course in Continuum Mechanics
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