Results 171 to 180 of about 21,691 (213)

Beam Bending Solutions Based on Nonlocal Timoshenko Beam Theory

Journal of Engineering Mechanics, 2008
This paper is concerned with the bending problem of micro- and nanobeams based on the Eringen nonlocal elasticity theory and Timoshenko beam theory. In the former theory, the small-scale effect is taken into consideration while the effect of transverse shear deformation is accounted for in the latter theory.
Wang, C. M., Kitipomchai, S., Lim, C. W., Eisenberger, M.   +3 more
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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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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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Applicability of Damped Outrigger Systems Using Timoshenko Beam Theory

International Journal of Structural Stability and Dynamics, 2022
Recently, 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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Intelligent beam structures: Timoshenko theory vs. Euler-Bernoulli theory

Proceeding of the 1996 IEEE International Conference on Control Applications IEEE International Conference on Control Applications held together with IEEE International Symposium on Intelligent Control IEEE International Symposium on Computer-Aided Contro, 2002
In this paper, the derivation of the governing equations and boundary conditions of laminated beam smart structures are developed. 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 ...
O.J. Aldraihem, R.C. Wetherhold, T. Singh   +2 more
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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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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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Asymptotic Derivation of Shear Beam Theory from Timoshenko Theory

Journal of Engineering Mechanics, 2007
A systematic reduction of Timoshenko beam theory to shear beam theory is presented and compared to a parallel reduction to Euler–Bernoulli theory. The agreement between Timoshenko and shear theories is seen to improve as the ratio of Young’s modulus to shear modulus increases, as the mode number increases, and as the beam becomes fatter, which are the ...
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On asymptotically correct Timoshenko-like anisotropic beam theory

International Journal of Solids and Structures, 2000
The authors study transverse shear effects in anisotropic beams of arbitrary cross-section. A variational-asymptotic method is combined with Timoshenko-like formulation to develop a refined theory with simple boundary conditions. The problem is overdetermined but, by using the least squares minimization technique, one can obtain the best possible ...
Popescu, Bogdan, Hodges, Dewey H.
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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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