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2018
This chapter introduces first the theory to derive the elemental stiffness matrix of Timoshenko beam elements for an arbitrary number of nodes and assumptions for the displacement and rotation fields. Then, the principal finite element equation of such beam elements and their arrangements as plane frame structures are briefly covered.
Andreas Öchsner, Resam Makvandi
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This chapter introduces first the theory to derive the elemental stiffness matrix of Timoshenko beam elements for an arbitrary number of nodes and assumptions for the displacement and rotation fields. Then, the principal finite element equation of such beam elements and their arrangements as plane frame structures are briefly covered.
Andreas Öchsner, Resam Makvandi
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Non-uniform isospectrals of uniform Timoshenko beams
AIAA Scitech 2019 Forum, 2019Spectrally equivalent systems are those that have the same free vibration natural frequencies for a given boundary condition.
Bhat, Srivatsa K, Ranjan, Ganguli
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Viscoelastic Timoshenko beam theory
Mechanics of Time-Dependent Materials, 2008The concept of elastic Timoshenko shear coefficients is used as a guide for linear viscoelastic Euler-Bernoulli beams subjected to simultaneous bending and twisting. It is shown that the corresponding Timoshenko viscoelastic functions now depend not only on material properties and geometry as they do in elasticity, but also additionally on stresses and
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Shape sensing of Timoshenko beam subjected to complex multi-node loads using isogeometric analysis
, 2021K. Chen, K. Cao, Guoming Gao, H. Bao
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Geometric Stiffening of Timoshenko Beams
Journal of Applied Mechanics, 1998The equations of motion of a prismatic isotropic Timoshenko beam with a tip mass and attached to a rotating hub are derived including the effects of centrifugal forces which appear in the equations of motion as nonlinear functions of the angular speed. The Rayleigh-Ritz method is used to obtain approximate solutions for the cases of a prescribed torque
D. C. D. Oguamanam, G. R. Heppler
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Shear Coefficients for Timoshenko Beam Theory
Journal of Applied Mechanics, 2000The Timoshenko beam theory includes the effects of shear deformation and rotary inertia on the vibrations of slender beams. The theory contains a shear coefficient which has been the subject of much previous research. In this paper a new formula for the shear coefficient is derived.
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Small-scale Timoshenko beam element
European Journal of Mechanics - A/Solids, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ansari, R. +2 more
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Temporally inhomogeneous Timoshenko beam equations
Annali di Matematica Pura ed Applicata, 1993We provide a well-posedness result for a fourth order evolution equation in Hilbert space, which is the temporally inhomogeneous version of the Timoshenko beam equation. The method consists in transforming the equation to a convenient second order equation, which is a perturbation, by lower order terms, of a standard wave equation.
AROSIO, Alberto Giorgio +2 more
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Damping Modeling in Timoshenko Beams
1992 American Control Conference, 1992We present theoretical and numerical results of damping model studies for composite material beams using the Timoshenko theory. A computational method for the estimation of the damping parameters is given. Examples involving experimental data are presented to investigate the damping models and test the computational method.
H.T. Banks, Y. Wang
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