Results 151 to 160 of about 1,214 (181)

Buckling of Multiwalled Carbon Nanotubes Using Timoshenko Beam Theory

Journal of Engineering Mechanics, 2006
A 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, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Falsone G., La Valle G.
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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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A Note on Timoshenko Beam Theory

Journal of Mathematics and Physics, 1959
Marshall, F. J., Ludloff, H. F.
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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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Wave Groups in the Flexural Motion of Beams Predicted by the Timoshenko Theory

Journal of Applied Mechanics, 1954
Abstract Solutions are obtained for the wave-length distribution of the bending-moment and shear-force responses in an infinite beam to ① a concentrated transverse-force impulse; ② a concentrated bending-moment impulse. These solutions are determined with the aid of a recent classical solution (1) for the flexural behavior of beams ...
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Who developed the so-called Timoshenko beam theory?

Mathematics and Mechanics of Solids, 2020
Isaac Elishakoff
exaly  

Testing the frequency range of Timoshenko beam theory

2018
The theories describing the dynamic behavior of freely vibrating beams and plates could be contained in four main categories as: (i) classical theory, (ii) first order shear deformable theory (FSDT), (iii) higher order shear deformable theories (HSDT) and (iv) three-dimensional theory (3D).
A. Messina, G. Reina
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Extending Timoshenko Beam Theory for Large Deflections in Compliant Mechanisms

Journal of Mechanisms and Robotics, 2023
, Chen Guimin
exaly