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Experimental study of the Timoshenko beam theory predictions
Journal of Sound and Vibration, 2012Abstract 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 +5 more
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Geometrically nonlinear Euler–Bernoulli and Timoshenko micropolar beam theories
Acta Mechanica, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Praneeth Nampally, J. N. Reddy
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Suppression of bending waves in a periodic beam with timoshenko beam theory
Acta Mechanica Solida Sinica, 2013Active 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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Applicability of Damped Outrigger Systems Using Timoshenko Beam Theory
International Journal of Structural Stability and Dynamics, 2022Recently, 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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Buckling of Multiwalled Carbon Nanotubes Using Timoshenko Beam Theory
Journal of Engineering Mechanics, 2006A Timoshenko beam model is presented in this paper for the buckling of axially loaded multiwalled carbon nanotubes surrounded by an elastic medium. Unlike the Euler beam model, the Timoshenko beam model allows for the effect of transverse shear deformation which becomes significant for carbon nanotubes with small length-to-diameter ratios. These stocky
Zhang, Y.Y., Wang, C.M., Tan, V.B.C.
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A homogenized theory for functionally graded Euler–Bernoulli and Timoshenko beams
Acta Mechanica, 2019zbMATH 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, 2015zbMATH 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, 1953Abstract 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, 2007A 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
2013This 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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