Results 151 to 160 of about 1,812 (185)
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Coupled bending and twisting of a timoshenko beam
Journal of Sound and Vibration, 1977Abstract Allowance is made for shear deflection and for rotary inertia of a non-uniform beam that executes coupled bending and twisting vibration. Principal modes are found, orthogonality conditions established and modal equations of forced motion derived.
Bishop, R. E. D., Price, W. G.
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Stabilization of the Timoshenko Beam by Thermal Effect
Mediterranean Journal of Mathematics, 2010The Timoshenko theory of a beam is an improvement of Euler-Bernoulli theory. When the rotation inertia and the transverse shear are significant in the beam model one has to use rather the Timoshenko theory. The authors consider a linear system of Timoshenko type in a bounded interval.
Djebabla, Abdelhak, Tatar, Nasser-Eddine
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Wave Reflection and Transmission in Timoshenko Beams and Wave Analysis of Timoshenko Beam Structures
Journal of Vibration and Acoustics, 2004This paper concerns wave reflection, transmission, and propagation in Timoshenko beams together with wave analysis of vibrations in Timoshenko beam structures. The transmission and reflection matrices for various discontinuities on a Timoshenko beam are derived.
Mei, C., Mace, B.R.
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Shear Coefficients for Timoshenko Beam Theory
Journal of Applied Mechanics, 2000The 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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Vibration of Timoshenko Beams with Internal Hinge
Journal of Engineering Mechanics, 2003This paper is concerned with the free vibration problem of Timoshenko beams with an internal hinge. Exact vibration frequencies for axially loaded, clamped-clamped beams and clamped-simply supported beams are determined. The effects of axial force, transverse shear deformation, rotary inertia, and the location of the internal hinge on the fundamental ...
Lee, Y.Y., Wang, C.M., Kitipornchai, S.
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A theory for transverse vibrations of the timoshenko beam
Journal of Applied Mathematics and Mechanics, 1993The author studies the Timoshenko equation which describes transverse vibrations of an elastic beam taking into account rotational inertia and transverse shear deformation. For each spatial shape of the vibrations, this equation gives two frequency values, i.e. it predicts two series of frequencies, hence two modes of vibration.
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The Shear Coefficient in Timoshenko’s Beam Theory
Journal of Applied Mechanics, 1966The equations of Timoshenko’s beam theory are derived by integration of the equations of three-dimensional elasticity theory. A new formula for the shear coefficient comes out of the derivation. Numerical values of the shear coefficient are presented and compared with values obtained by other writers.
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ON THE NONLINEAR TIMOSHENKO-KIRCHHOFF BEAM EQUATION
Chinese Annals of Mathematics, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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