Topic
Timoshenko beam theory
About: Timoshenko beam theory is a research topic. Over the lifetime, 9426 publications have been published within this topic receiving 200570 citations.
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TL;DR: In this paper, the original 4-equation model of pipe conveying fluid was modified by taking the dynamic effects of fluid into account, where the shape function that always used in the finite element method was replaced by the exact wave solution of the modified four equations.
58 citations
TL;DR: In this paper, a computational approach is presented for the analysis of reinforced concrete beams and slabs under the effects of transient uniformly distributed loads, based on the Timoshenko beam formulation with non-ideal support conditions.
58 citations
TL;DR: In this article, a new theory of higher order shear deformation is used for the analysis of composite beams in post-buckling and the results of this analysis show that classical and first-order theories underestimate the amplitude of the buckling whereas all the theories considered in this study give results very close to the static response of postbuckling.
Abstract: In this paper, an exact analytical solution is developed for the analysis of the post-buckling non-linear response of simply supported deformable symmetric composite beams. For this, a new theory of higher order shear deformation is used for the analysis of composite beams in post-buckling. Unlike any other shear deformation beam theories, the number of functions unknown in the present theory is only two as the Euler-Bernoulli beam theory, while three unknowns are needed in the case of the other beam theories. The theory presents a parabolic distribution of transverse shear stresses, which satisfies the nullity conditions on both sides of the beam without a shear correction factor. The shear effect has a significant contribution to buckling and post-buckling behaviour. The results of this analysis show that classical and first-order theories underestimate the amplitude of the buckling whereas all the theories considered in this study give results very close to the static response of post-buckling. The numerical results obtained with the novel theory are not only much more accurate than those obtained using the Euler-Bernoulli theory but are almost comparable to those obtained using higher order theories, Accuracy and effectiveness of the current theory.
58 citations
TL;DR: In this paper, the chaotic vibration analysis of a rotating flexible continuous shaft-disk system with rub-impact is studied, where the system is modeled as a continuous shaft with a rigid disk in its midsection with Coriolis and centrifugal effects included.
58 citations
Abstract: This paper presents the determination of Eringen's small length scale coefficient e0 for buckling of nonlocal Timoshenko beam from a microstructured beam model. The microstructured beam model is composed of discrete rigid elements (of equal length), which are connected by rotational and shear springs that model the bending and shearing behaviors in a beam. The exact solution of e0 is given for nonlocal Timoshenko beam with small length scale term appearing in the normal stress-strain relation only. It is shown that e0 approaches 1/12≈0.289 which coincides with the one calibrated for nonlocal Euler beams.
58 citations