Results 201 to 210 of about 21,453 (250)

On the frequency range of Timoshenko beam theory

Mechanics of Advanced Materials and Structures, 2018
This article concerns with the analysis of the frequency range within which Timoshenko’s model can be applied for the study of vibrating beams, possibly without incurring in large engineering appro...
Messina A., Reina G.
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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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Shear Coefficients for Timoshenko Beam Theory

Journal of Applied Mechanics, 2000
The 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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Timoshenko Beam Theory Is Not Always More Accurate Than Elementary Beam Theory

Journal of Applied Mechanics, 1977
A counterexample involving a homogeneous, elastically isotropic beam of narrow rectangular cross section supports the assertion in the title. Specifically, a class of two-dimensional displacement fields is considered that represent exact plane stress solutions for a built-in cantilevered beam subject to “reasonable” loads.
Nicholson, J. W., Simmonds, J. G.
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The Shear Coefficient in Timoshenko’s Beam Theory

Journal of Applied Mechanics, 1966
The equations of Timoshenko’s beam theory are derived by integration of the equations of three-dimensional elasticity theory. A new formula for the shear coefficient comes out of the derivation. Numerical values of the shear coefficient are presented and compared with values obtained by other writers.
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Viscoelastic Timoshenko beam theory

Mechanics of Time-Dependent Materials, 2008
The 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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On the Accuracy of Timoshenko's Beam Theory

Journal of the Engineering Mechanics Division, 1968
The 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, 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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Experimental study of the Timoshenko beam theory predictions

Journal of Sound and Vibration, 2012
Abstract 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, J. Flores, L. Gutiérrez, R.A. Méndez-Sánchez, G. Monsivais, A. Morales   +5 more
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Geometrically nonlinear Euler–Bernoulli and Timoshenko micropolar beam theories

Acta Mechanica, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Praneeth Nampally, J. N. Reddy
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