Results 221 to 230 of about 30,377 (259)

On the Control of Dissipative Viscoelastic Timoshenko Beams

Mediterranean Journal of Mathematics, 2021
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Timoshenko beams with variable‐exponent nonlinearity

Mathematical Methods in the Applied Sciences, 2023
In this paper, we consider the following Timoshenko system with a nonlinear feedback having a variable exponent and a time‐dependent coefficient . We establish, for the first time as per our knowledge, explicit energy decay rates for this system depending on both and .
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Wave Reflection and Transmission in Timoshenko Beams and Wave Analysis of Timoshenko Beam Structures

Journal of Vibration and Acoustics, 2004
This paper concerns wave reflection, transmission, and propagation in Timoshenko beams together with wave analysis of vibrations in Timoshenko beam structures. The transmission and reflection matrices for various discontinuities on a Timoshenko beam are derived.
Mei, C., Mace, B.R.
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Flexural Vibrations and Timoshenko's Beam Theory

AIAA Journal, 1974
This paper is a study of flexural elastic vibrations of Timoshenko beams with due allowance for the effects of rotary inertia and shear. Two independent formulations are developed, one based on the concepts proposed by Timoshenko and the other on the extended Rayleigh-Ritz energy method.
AALAMI B., ATZORI, BRUNO
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Application of the Reissner Method to a Timoshenko Beam

Journal of Applied Mechanics, 1981
The Reissner and the potential energy methods have been applied to a Timoshenko beam vibrating in flexure. Frequency equations are developed using shape functions for bending moment, shearing force, deflection, and slope in series form through the Ritz process.
Rao, J. S., Kulkarni, S. V., Subrahmanyam, K. B.   +2 more
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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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ON THE NONLINEAR TIMOSHENKO-KIRCHHOFF BEAM EQUATION

Chinese Annals of Mathematics, 1999
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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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Some Solutions of the Timoshenko Beam Equations

Journal of Applied Mechanics, 1955
Abstract Solutions are obtained by the method of Laplace transformation for four types of loadings applied to a semi-infinite beam. Numerical results are presented for two of these, both for suddenly applied and gradually varying loads. The effects of shear deformations and rotatory inertia are taken into account according to Timoshenko ...
Boley, B. A., Chao, C. C.
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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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