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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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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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An Analytical Model for Beam Flexure Modules Based on the Timoshenko Beam Theory
Volume 5A: 41st Mechanisms and Robotics Conference, 2017Short beams are the key building blocks in many compliant mechanisms. Hence, deriving a simple yet accurate model of their elastokinematics is an important issue. Since the Euler-Bernoulli beam theory fails to accurately model these beams, we use the Timoshenko beam theory to derive our new analytical framework in order to model the elastokinematics of
Kahrobaiyan, Mohammad Hussein +2 more
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On the Accuracy of Timoshenko's Beam Theory
Journal of the Engineering Mechanics Division, 1968The deflection and rotation which appear in Timoshenko's beam theory may be defined either (a) in terms of the deflection and rotation of the centroidal element of a cross-section or (b) in terms of average values over the cross-section. By consideration of an example for which a theoretically exact solution is available it is shown that the Timoshenko
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On the shear coefficient in Timoshenko's beam theory
Journal of Sound and Vibration, 1983Abstract Some existing formulations for the shear coefficient in Timoshenko's beam theory are discussed, especially through evaluation of the accuracy to which natural frequencies of simply supported, prismatic, thin walled beams can be obtained. The main conclusion drawn is that if a consistent expression for the shear coefficient, such as those ...
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Geometrically nonlinear Euler–Bernoulli and Timoshenko micropolar beam theories
Acta Mechanica, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Praneeth Nampally, J. N. Reddy
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Experimental study of the Timoshenko beam theory predictions
Journal of Sound and Vibration, 2012Abstract The theory of flexural vibrations proposed by Timoshenko almost 90 years ago has been the subject of several recent papers. In the Timoshenko beam theory a critical frequency f c is expected and for frequencies f larger than f c , some authors argue that a second spectrum exists.
A. Díaz-de-Anda +5 more
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Suppression of bending waves in a periodic beam with timoshenko beam theory
Acta Mechanica Solida Sinica, 2013Active control of bending waves in a periodic beam by the Timoshenko beam theory is concerned. A discussion about the possible wave solutions for periodic beams and their control by forces is presented. Wave propagation in a periodic beam is studied. The transfer matrix between two consecutive unit cells is obtained based on the continuity conditions ...
Tao Chen, Ligang Wang
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Applicability of Damped Outrigger Systems Using Timoshenko Beam Theory
International Journal of Structural Stability and Dynamics, 2022Recently, applying damped outriggers in high-rise buildings to reduce vibration due to earthquake and wind has attracted a lot of attention. By placing energy dissipated devices vertically between the end of outriggers and perimeter columns, the damped outrigger systems emphasize the supplementary damping rather than stiffness. This paper investigates
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Timoshenko beam theory: A perspective based on the wave-mechanics approach
Wave Motion, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
X.Q. Wang, R.M.C. So
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