Bresse‐Timoshenko beam theoryintermingling phenomenonslope inertia based versiontruncated versionIn this study we analyze the free vibrations of a beam on Pasternak foundation by using three alternative beam theories in contrast to other studies which focus on original Bresse-Timoshenko equations only. ...
Timoshenko–Ehrenfest beamThe numerical solution of boundary value problems in solid mechanics is dominated by the Finite Element Method (FEM). The present study provides an alternative numerical approach using the Theory of Functional Connections (TFC) for solving problems of this type. Here TFC is...
Beam modelMeccanica - The first-order shear deformable beam theory should be named after Stephen Timoshenko and Paul Ehrenfest in recognition of the significant contribution of both of them. The...doi:10.1007/s11012-022-01618-1Faghidian, S. Ali...
The beam theory allowing for rotary inertia and shear deformation and without the fourth order derivative with respect to time as well as without the slope inertia, as was developed by Elishakoff through the dynamic equilibrium consideration, is derived here by means of bot...
TIMOSHENKO beam theoryINERTIA (Mechanics)FREE vibrationIn this paper we discuss about the free vibrations of a beam on Winkler foundation via original Timoshenko–Ehrenfest beam theory, as well as one of its truncated versions, and a model based on slope......
elasticity theoryTimoshenko-Ehrenfest theoremIn this paper, geometrical interpretation of the Timoshenko-Ehrenfest theorem is given. It is based on a vector-valued version of continuum mechanics, which considers the deformed body as a surface in extended coordinate space. Scalar parameters of the ...
It constitutes an intermediate theory between the classical Bernoulli–Euler beam theory and the refined Timoshenko–Ehrenfest beam theory. It is a truncated version of the latter theory. The attendant equation developed by Elishakoff (2010) and Elishakoffet al. (2015) is both more consistent from...
In this chapter, we first deal with the generalization of the Timoshenko–Ehrenfest beam theory into the associated theory of plates. This contribution bel... I Elishakoff - Handbook on Timoshenko-Ehrenfest Beam and Uflyand-Mindlin Plate Theories 被引量: 0发表: 0年 Intermediate Theory Between ...
The main objective of this paper is to study the free vibration behaviour of single-walled carbon nanotubes (SWCNT) using the nonlocal truncated Timoshenko beam theory. According to the Hamilton principle, the equation of motion of Timoshenko single-walled carbon nanotubes is calculated taking into ...
The main objective of this paper is to study the free vibration behaviour of single-walled carbon nanotubes (SWCNT) using the nonlocal truncated Timoshenko beam theory. According to the Hamilton principle, the equation of motion of Timoshenko single-walled carbon nanotubes is calculated taking into ...