Journal ArticleDOI
On asymptotically correct Timoshenko-like anisotropic beam theory
Bogdan Popescu,Dewey H. Hodges +1 more
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TLDR
In this article, a finite element cross-sectional beam analysis capable of capturing transverse shear effects is presented, which uses the variational-asymptotic method and can handle beams of general crosssectional shape and arbitrary anisotropic material.About:
This article is published in International Journal of Solids and Structures.The article was published on 2000-01-01. It has received 153 citations till now. The article focuses on the topics: Timoshenko beam theory & Beam (structure).read more
Citations
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Beam Structures: Classical and Advanced Theories
TL;DR: The Carrera Unified Formulation (CUF) as discussed by the authors is a unified approach to beam theory that includes practically all classical and advanced models for beams and which has become established and recognised globally as the most important contribution to the field in the last quarter of a century.
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On Timoshenko-like modeling of initially curved and twisted composite beams
TL;DR: In this paper, a generalized finite-element-based, cross-sectional analysis for nonhomogenous, initially curved and twisted, anistropic beams is formulated from geometrically nonlinear, three-dimensional elasticity.
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Validation of the Variational Asymptotic Beam Sectional Analysis
TL;DR: The VABS (Variational Asymptotic Beam Section Analysis) algorithm as mentioned in this paper uses the variational asymptotics to split a three-dimensional nonlinear elasticity problem into a two-dimensional linear cross-sectional analysis and a one-dimensional, nonlinear beam problem.
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Refined beam elements with arbitrary cross-section geometries
TL;DR: In this paper, a hierarchical beam element model based on the Carrera Unified Formulation (CUF) is presented, where the displacement components are expanded in terms of the section coordinates, (x,y), using a set of 1-D generalized displacement variables.
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Variational asymptotic beam sectional analysis – An updated version
TL;DR: In this paper, three recent updates to the variational asymptotic beam sectional analysis (VABS) have been discussed, including a change to the warping constraints in terms of three-dimensional variables, so that one-dimensional beam variables are treated with more rigor.
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.
Book
Formulas for Stress and Strain
TL;DR: In this article, the authors propose formulas for stress and strain in the form of formulas for strain and stress, which are derived from the formula for stress-and-stress and strain.
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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.
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A mixed variational formulation based on exact intrinsic equations for dynamics of moving beams
TL;DR: In this paper, a nonlinear intrinsic formulation for the dynamics of initially curved and twisted beams in a moving frame is presented, which is written in a compact matrix form without any approximations to the geometry of the deformed beam reference line or to the orientation of the intrinsic cross-section frame.