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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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A Note on Timoshenko Beam Theory
Journal of Mathematics and Physics, 1959Marshall, F. J., Ludloff, H. F.
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Some Remarks on Timoshenko Beam Theory
Journal of Vibration and Acoustics, 1992N. R. Senthilnathan, K. H. Lee
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Unified Formulations of the Shear Coefficients in Timoshenko Beam Theory
, 2017S. Faghidian
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Testing the frequency range of Timoshenko beam theory
2018The 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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Buckling analysis of micro- and nano-rods/tubes based on nonlocal Timoshenko beam theory
, 2006Chien Ming Wang +3 more
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Optimal design of high-g MEMS piezoresistive accelerometer based on Timoshenko beam theory
, 2018Feng Liu +6 more
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