Journal ArticleDOI
An improved two-node finite element for stability and natural frequencies of axial-loaded Timoshenko beams
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TLDR
In this article, the linear flexural stiffness, incremental stiffness, mass, and consistent force matrices for a simple two-node Timoshenko beam element are developed based upon Hamilton's principle, where interdependent cubic and quadratic polynomials are used for the transverse and rotational displacements, respectively.About:
This article is published in Computers & Structures.The article was published on 1995-10-03. It has received 89 citations till now. The article focuses on the topics: Timoshenko beam theory & Direct stiffness method.read more
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Non-classical Timoshenko beam element based on the strain gradient elasticity theory
TL;DR: In this paper, a novel Timoshenko beam element based on the framework of strain gradient elasticity theory was proposed for the analysis of the static bending, free vibration and buckling behaviors of Timoshenko microbeams.
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Vibration of bi-dimensional functionally graded Timoshenko beams excited by a moving load
TL;DR: In this article, the vibration of bi-dimensional functionally graded Timoshenko beams excited by a moving concentrated load was studied. But the authors focused on the effect of the material distribution and moving load speed on the vibration characteristics of the beams.
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Dynamic response of a functionally graded Timoshenko beam on two-parameter elastic foundations due to a variable velocity moving mass
TL;DR: In this article, a modified finite element method (FEM) was used to analyze the transverse vibrations of a Timoshenko beam, made of functionally graded materials (FGMs), on a two-parameter foundation and subjected to a variable-velocity moving mass.
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Large displacement response of tapered cantilever beams made of axially functionally graded material
TL;DR: In this article, a co-rotational beam element taking the effects of the material inhomogeneity, shear deformation and nonuniform cross section into account is formulated and employed in computing the response of the beams.
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Multiobjective optimization of laminated composite cylindrical shells for maximum frequency and buckling load
TL;DR: In this article, a multiobjective optimization of laminated cylindrical shells to maximize a weighted sum of the frequency and buckling load under external load was studied, and a program based on FORTRAN was used for the optimization of the laminated shells.
References
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Journal ArticleDOI
LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars
TL;DR: In this article, the correction for shear of the differential equation for transverse vibrations of prismatic bars is discussed, where the correction is based on the correction of the transverse vibration of a prismatic bar.
Journal ArticleDOI
X. On the transverse vibrations of bars of uniform cross-section
TL;DR: In this article, the transverse vibrations of bars of uniform cross-section were studied and the authors proposed a method to measure the transversal vibrations of a bar of uniform shape.