Fibrous model for the simulation of the cyclic behaviour of 3D reinforced concrete frames [PDF]
Relatório 07-DEC/E-04Non-linear finite element analysis has attracted a lot of attention in last few decades, as real life problems dealing with analysis of concrete beams and columns are generally non-linear in nature.
Barros, Joaquim A. O. +2 more
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Bending and Free Vibration Analysis of Nonlocal Functionally Graded Nanocomposite Timoshenko Beam Model Rreinforced by SWBNNT Based on Modified Coupled Stress Theory [PDF]
In this article, the bending and free vibration analysis of functionally graded (FG) nanocomposites Timoshenko beam model reinforced by single-walled boron nitride nanotube (SWBNNT) using micro-mechanical approach embedded in an elastic medium is studied.
M. Mohammadimehr +1 more
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A Closed Form Solution for Reissner's Planar Finite-Strain Beam Using Jacobi Elliptical Functions
In the article we introduce an analytical solution for Reissner's large-deflection finite-strain planar beam subject to an end force and a bending moment. The solution is given in terms of Jacobi elliptical functions.
Batista, Milan
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Study on physical essence of the Timoshenko beam theory and its relation with the Euler beam theory [PDF]
Compared with the Euler beam theory, the Timoshenko beam theory has the advantages in solution accuracy and in applicable aspect ratios. However, it received some criticisms in two aspects: firstly, it is energy inconsistent, and secondly, it cannot be reduced to the Euler beam theory in a mechanics way.
LuXian LI +3 more
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In the existing reports regarding free and forced vibrations of the beams, most of them studied a uniform beam carrying various concentrated elements using Bernoulli-Euler Beam Theory (BET) but without axial force. The purpose of this paper is to utilize
Yusuf Yesilce
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Free vibration analyses of angle-ply laminated composite beams were investigated by the Gâteaux differential method in the present paper. With the use of the Gâteaux differential method, the functionals were obtained and the natural frequencies of the ...
Ozutok Atilla +2 more
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Vibration Analysis of Functionally Graded Carbon Nanotube Reinforced Beam Structures [PDF]
This work deals with the study of vibration behavior of the Functionally Graded Timoshenko Beam that has been reinforced with Carbon Nanotubes (CNTs), which is subjected to thermal and mechanical loads.
Kumar , Nitish
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A LINEARIZED TIMOSHENKO BEAM THEORY IN FINITE DISPLACEMENTS
A linearized finite displacement theory of the Timoshenko beam is formulated as the counterpart to so-called beam-column theory of the Bernoulli-Euler beam. The corresponding stiffness equation is derived in a useful form for practical applications. Both theory and stiffness equation result in the same buckling load as the Engesser formula which has ...
Akio HASEGAWA +2 more
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The Fractal Timoshenko Beam Equation
A fractal approach for the Timoshenko beam theory by applying differential vector calculus in a three-dimensional continuum with a fractal metric is developed.
Helvio Mollinedo +6 more
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Comparative Spectral Analysis of Flexible Structure Models: the Euler-Bernoulli Beam model, the Rayleigh Beam model, and the Timoshenko Beam Model [PDF]
We derive herein approximate spectra for three dierent models of transversely vibrating, beams. Each model consists of a system of partial dierential equations (PDEs) with various, boundary conditions.
Nguyen, Anhhong Rose
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