Results 131 to 140 of about 1,214 (181)
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On the Use of Deflection Components in Timoshenko Beam Theory
Journal of Applied Mechanics, Transactions ASME, 1997The growing use of variational principles encouraged researchers to obtain the governing equations and boundary conditions directly in terms of the bending deflection and shear deflection instead of making the substitutions for the total deflection and the rotation.
Cm Wang, Wang C M, Lee K H
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The Shear Coefficient in Timoshenko’s Beam Theory
Journal of Applied Mechanics, Transactions ASME, 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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Some Remarks on Timoshenko Beam Theory
Journal of Vibration and Acoustics, Transactions of the ASME, 1992Lee K H
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Flexural Vibrations and Timoshenko's Beam Theory
AIAA Journal, 1974This paper is a study of flexural elastic vibrations of Timoshenko beams with due allowance for the effects of rotary inertia and shear. Two independent formulations are developed, one based on the concepts proposed by Timoshenko and the other on the extended Rayleigh-Ritz energy method.
AALAMI B., ATZORI, BRUNO
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2021
This chapter presents the analytical description of thick, or so-called shear-flexible, beam members according to the Timoshenko theory. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law, and the equilibrium equation, the partial differential equations, which describe the physical problem,
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This chapter presents the analytical description of thick, or so-called shear-flexible, beam members according to the Timoshenko theory. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law, and the equilibrium equation, the partial differential equations, which describe the physical problem,
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Beam Bending Solutions Based on Nonlocal Timoshenko Beam Theory
Journal of Engineering Mechanics, 2008This paper is concerned with the bending problem of micro- and nanobeams based on the Eringen nonlocal elasticity theory and Timoshenko beam theory. In the former theory, the small-scale effect is taken into consideration while the effect of transverse shear deformation is accounted for in the latter theory.
Wang, C. M. +3 more
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Timoshenko Beam Theory Is Not Always More Accurate Than Elementary Beam Theory
Journal of Applied Mechanics, 1977A counterexample involving a homogeneous, elastically isotropic beam of narrow rectangular cross section supports the assertion in the title. Specifically, a class of two-dimensional displacement fields is considered that represent exact plane stress solutions for a built-in cantilevered beam subject to “reasonable” loads.
Nicholson, J. W., Simmonds, J. G.
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On the Appropriate Rotary Inertia in Timoshenko Beam Theory
International Journal of Applied Mechanics, 2021The rotary inertia defined by Timoshenko to account for the angular velocity effect in flexural vibration of beams has been questioned by some researchers in recent years, and it caused some confusions. This paper discusses the appropriate rotary inertia in Timoshenko beam theory (TBT) and evaluates the influence of the two forms of the rotary inertia
Guangyu Shi, Qiaorong Guo
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On the frequency range of Timoshenko beam theory
Mechanics of Advanced Materials and Structures, 2018This article concerns with the analysis of the frequency range within which Timoshenko’s model can be applied for the study of vibrating beams, possibly without incurring in large engineering appro...
Messina A., Reina G.
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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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