Results 141 to 150 of about 21,909 (188)

On the Use of Deflection Components in Timoshenko Beam Theory

Journal of Applied Mechanics, 1997
The 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.
Lee, K. H., Wang, C. M.
openaire   +4 more sources

Beam Bending Solutions Based on Nonlocal Timoshenko Beam Theory

Journal of Engineering Mechanics, 2008
This 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., Kitipomchai, S., Lim, C. W., Eisenberger, M.   +3 more
openaire   +3 more sources

On the Appropriate Rotary Inertia in Timoshenko Beam Theory

International Journal of Applied Mechanics, 2021
The 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
openaire   +1 more source

On the frequency range of Timoshenko beam theory

Mechanics of Advanced Materials and Structures, 2018
This 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.
openaire   +2 more sources

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.
openaire   +2 more sources

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.
openaire   +1 more source

Timoshenko Beam Theory Is Not Always More Accurate Than Elementary Beam Theory

Journal of Applied Mechanics, 1977
A 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.
openaire   +1 more source

Viscoelastic Timoshenko beam theory

Mechanics of Time-Dependent Materials, 2008
The concept of elastic Timoshenko shear coefficients is used as a guide for linear viscoelastic Euler-Bernoulli beams subjected to simultaneous bending and twisting. It is shown that the corresponding Timoshenko viscoelastic functions now depend not only on material properties and geometry as they do in elasticity, but also additionally on stresses and
openaire   +1 more source

On the Accuracy of Timoshenko's Beam Theory

Journal of the Engineering Mechanics Division, 1968
The deflection and rotation which appear in Timoshenko's beam theory may be defined either (a) in terms of the deflection and rotation of the centroidal element of a cross-section or (b) in terms of average values over the cross-section. By consideration of an example for which a theoretically exact solution is available it is shown that the Timoshenko
openaire   +1 more source

On the shear coefficient in Timoshenko's beam theory

Journal of Sound and Vibration, 1983
Abstract Some existing formulations for the shear coefficient in Timoshenko's beam theory are discussed, especially through evaluation of the accuracy to which natural frequencies of simply supported, prismatic, thin walled beams can be obtained. The main conclusion drawn is that if a consistent expression for the shear coefficient, such as those ...
openaire   +2 more sources