Results 151 to 160 of about 1,850 (185)

Free Vibrations of Viscoelastic Timoshenko Beams

Journal of Applied Mechanics, 1971
The correspondence principle has been applied to derive the differential equations of viscoelastic Timoshenko beams with external viscous damping. These equations are solved by Laplace transform and boundary conditions are applied to obtain complex frequency equations and mode shapes for beams of any combination of end conditions.
Huang, T. C., Huang, C. C.
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Green’s Functions for Timoshenko Beam Problems

ASME 1997 Turbo Asia Conference, 1997
In this paper, a unified formulation is given for the bending, buckling and vibration problems of uniform Timoshenko and Euler-Bernoulli beams resting on various models of elastic foundation. Canonical Green’s functions have been derived for these beams which can be readily used to furnish exact solutions.
Wang, C. M., Lam, K. Y., He, X. Q.
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A theory for transverse vibrations of the timoshenko beam

Journal of Applied Mathematics and Mechanics, 1993
The 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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Dynamic Buckling of a Nonlinear Timoshenko Beam

SIAM Journal on Applied Mathematics, 1979
The transient motion that results when an ended-loaded column buckles is studied using a nonlinear Timoshenko beam theory. The two-time method is used to construct an asymptotic expansion of the solution. The results are then compared with those of a previous analysis of the same problem that employed the Euler-Bernoulli beam theory.
Hirschhorn Sapir, Marilyn, Reiss, Edward L.   +1 more
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Wave Reflection and Transmission in Timoshenko Beams and Wave Analysis of Timoshenko Beam Structures

Journal of Vibration and Acoustics, 2004
This 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, 2000
The 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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Timoshenko Beams

2016
Andreas Öchsner, Marco Öchsner
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ON THE NONLINEAR TIMOSHENKO-KIRCHHOFF BEAM EQUATION

Chinese Annals of Mathematics, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Shear Coefficient in Timoshenko’s Beam Theory

Journal of Applied Mechanics, 1966
The 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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Timoshenko Beams

2017
Zia Javanbakht, Andreas Öchsner
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