Results 211 to 220 of about 31,179 (258)

Free Vibrations of Viscoelastic Timoshenko Beams

Journal of Applied Mechanics, 1971
The correspondence principle has been applied to derive the differential equations of viscoelastic Timoshenko beams with external viscous damping. These equations are solved by Laplace transform and boundary conditions are applied to obtain complex frequency equations and mode shapes for beams of any combination of end conditions.
Huang, T. C., Huang, C. C.
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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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Static analysis of nonuniform timoshenko beams

Computers & Structures, 1993
Summary: With the assumption that the bending rigidity of a beam is second-order differentiable with respect to the coordinate variable, the exact static deflection of a nonuniform Timoshenko beam with typical kinds of boundary conditions is given in closed form and expressed in terms of the four fundamental solutions of the governing differential ...
Lee, S. Y., Kuo, Y. H.
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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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Forced Motions of Timoshenko Beams

Journal of Applied Mechanics, 1955
Abstract Timoshenko’s theory of flexural motions in an elastic beam takes into account both rotatory inertia and transverse-shear deformation and, accordingly, contains two dependent variables instead of the one transverse displacement of classical theory of flexure. For the case of forced motions, the solution involves complications not
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Timoshenko Beams and Frames

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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Non-uniform isospectrals of uniform Timoshenko beams

AIAA Scitech 2019 Forum, 2019
Spectrally 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, 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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Geometric Stiffening of Timoshenko Beams

Journal of Applied Mechanics, 1998
The 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, 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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