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Suppression of bending waves in a periodic beam with timoshenko beam theory

Acta Mechanica Solida Sinica, 2013
Active control of bending waves in a periodic beam by the Timoshenko beam theory is concerned. A discussion about the possible wave solutions for periodic beams and their control by forces is presented. Wave propagation in a periodic beam is studied. The transfer matrix between two consecutive unit cells is obtained based on the continuity conditions ...
Tao Chen, Ligang Wang
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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.   +3 more
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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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A homogenized theory for functionally graded Euler–Bernoulli and Timoshenko beams

Acta Mechanica, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Falsone G., La Valle G.
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Timoshenko beam theory: A perspective based on the wave-mechanics approach

Wave Motion, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
X.Q. Wang, R.M.C. So
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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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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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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 Note on Timoshenko Beam Theory

Journal of Mathematics and Physics, 1959
Marshall, F. J., Ludloff, H. F.
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The limits of Timoshenko beam theory applied to impact problems of layered beams

International Journal of Mechanical Sciences, 2018
Abstract The aim of this article is to demonstrate and discuss the possibilities of the application of classical Timoshenko beam theory to problems of three-layered elastic beams with symmetric composition. In particular, the equivalent single-layer first-order shear deformation theory (FSDT) with the variation of Timoshenko shear coefficient is ...
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