Results 181 to 190 of about 21,691 (213)

Thick/Slender Plane Beams. Timoshenko Theory

2013
This chapter studies Timoshenko plane beam elements. Timoshenko beam theory accounts for the effect of transverse shear deformation. Timoshenko beam elements are therefore applicable for “thick” beams \(\left(\lambda = \frac{L}{h} 100)\) where this influence is irrelevant [Ti].
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A theory for transverse vibrations of the timoshenko beam

Journal of Applied Mathematics and Mechanics, 1993
The author studies the Timoshenko equation which describes transverse vibrations of an elastic beam taking into account rotational inertia and transverse shear deformation. For each spatial shape of the vibrations, this equation gives two frequency values, i.e. it predicts two series of frequencies, hence two modes of vibration.
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On the Use of Deflection Components in Timoshenko Beam Theory

Journal of Applied Mechanics, 1997
The growing use of variational principles encouraged researchers to obtain the governing equations and boundary conditions directly in terms of the bending deflection and shear deflection instead of making the substitutions for the total deflection and the rotation.
Lee, K. H., Wang, C. M.
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On the shear coefficient in Timoshenko's beam theory

Journal of Sound and Vibration, 1983
Abstract 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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Variational principle of partial-interaction composite beams using Timoshenko's beam theory

International Journal of Mechanical Sciences, 2012
Abstract Based on the kinematic assumptions of Timoshenko's beam theory, this paper formulates the principle of virtual work and reciprocal theorem of work for the partial-interaction composite beams. Then the principle of minimum potential energy and minimum complementary energy are derived and proved. The variational principles for the frequency of
Rongqiao Xu, Guannan Wang
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Distributed Control of Laminated Beams: Timoshenko Theory vs. Euler-Bernoulli Theory

Journal of Intelligent Material Systems and Structures, 1997
In this paper, the governing equations and boundary conditions of laminated beamlike components of smart structures are reviewed. Sensor and actuator layers are included in the beam so as to facilitate vibration suppression. Two mathematical models, namely the shear-deformable (Timoshenko) model and the shear-indeformable (Euler-Bernoulli) model, are ...
Osama J. Aldraihem, Robert C. Wetherhold, Tarunraj Singh   +2 more
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Buckling of Multiwalled Carbon Nanotubes Using Timoshenko Beam Theory

Journal of Engineering Mechanics, 2006
A Timoshenko beam model is presented in this paper for the buckling of axially loaded multiwalled carbon nanotubes surrounded by an elastic medium. Unlike the Euler beam model, the Timoshenko beam model allows for the effect of transverse shear deformation which becomes significant for carbon nanotubes with small length-to-diameter ratios. These stocky
Zhang, Y.Y., Wang, C.M., Tan, V.B.C.
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Flexural Vibrations in Uniform Beams According to the Timoshenko Theory

Journal of Applied Mechanics, 1953
Abstract The general series solution is given for the flexural vibrations in a uniform beam according to the Timoshenko equations, which include the secondary effects of shear and rotatory inertia. In addition, the series solution is presented for the case of a pin-ended beam. For the special case of a concentrated transient force at the
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A Note on Timoshenko Beam Theory

Journal of Mathematics and Physics, 1959
Marshall, F. J., Ludloff, H. F.
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Some Remarks on Timoshenko Beam Theory

Journal of Vibration and Acoustics, 1992
N. R. Senthilnathan, K. H. Lee
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