Journal ArticleDOI
Bi-directional functionally graded materials (BDFGMs) for free and forced vibration of Timoshenko beams with various boundary conditions
TLDR
In this article, free and forced vibration of a bi-directional functionally graded (BDFG) Timoshenko beam under the action of a moving load was investigated by means of Lagrange equations based on TBT and Euler-Bernoulli beam theory.About:
This article is published in Composite Structures.The article was published on 2015-12-01. It has received 196 citations till now. The article focuses on the topics: Timoshenko beam theory & Moving load.read more
Citations
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Journal ArticleDOI
Buckling analysis of arbitrary two-directional functionally graded Euler–Bernoulli nano-beams based on nonlocal elasticity theory
TL;DR: In this paper, the buckling analysis of two-directional functionally graded materials (FGM) nano-beams with small scale effects is carried out based on the nonlocal elasticity theory and the governing equations are obtained, employing the principle of minimum potential energy.
Journal ArticleDOI
Non-local analysis of free vibration of bi-directional functionally graded Euler–Bernoulli nano-beams
Mohammad Zamani Nejad,Amin Hadi +1 more
TL;DR: In this paper, the free vibration analysis of Euler-Bernoulli nano-beams made of bi-directional functionally graded material (BDFGM) with small scale effects is investigated.
Journal ArticleDOI
Eringen's non-local elasticity theory for bending analysis of bi-directional functionally graded Euler–Bernoulli nano-beams
Mohammad Zamani Nejad,Amin Hadi +1 more
TL;DR: In this paper, the problem of static bending of Euler-Bernoulli nano-beams made of bi-directional functionally graded material (BDFGM) with small scale effects is formulated.
Journal ArticleDOI
Buckling of Timoshenko beams composed of two-dimensional functionally graded material (2D-FGM) having different boundary conditions
TL;DR: In this paper, the buckling load of two-dimensional functionally graded materials (2D-FGMs) was investigated for the first time to investigate the bucking of beams with different boundary conditions, assuming that the material properties of the beam vary in both axial and thickness directions according to the power-law form.
Journal ArticleDOI
Modeling and analysis of functionally graded sandwich beams: a review
TL;DR: In this paper, the authors proposed several modeling techniques and solution methods for sandwich beams and plates made of functionally graded (FG) materials, which are widely used in many engineering industries.
References
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Book
Vibration of solids and structures under moving loads
L. Frýba,C. R. Steele +1 more
TL;DR: In this paper, one-dimensional solids, two-dimensional and three-dimensional (3D) solids have been studied in the context of special problems, where the problem is to solve a special problem.
Journal ArticleDOI
A new beam finite element for the analysis of functionally graded materials
TL;DR: In this article, a beam element based on first-order shear deformation theory is developed to study the thermoelastic behavior of functionally graded beam structures, and the stiffness matrix has super-convergent property and the element is free of shear locking.
Journal ArticleDOI
Free vibration characteristics of a functionally graded beam by finite element method
TL;DR: In this paper, the dynamic characteristics of functionally graded beam with material graduation in axially or transversally through the thickness based on the power law are presented. But the model is more effective for replacing the non-uniform geometrical beam with axially and transversely uniform geometrically graded beam.
Journal ArticleDOI
A unified approach for analyzing static and dynamic behaviors of functionally graded Timoshenko and Euler–Bernoulli beams
TL;DR: In this article, a unified approach for analyzing the static and dynamic behaviors of functionally graded beams (FGB) with the rotary inertia and shear deformation included is presented, where all material properties are arbitrary functions along the beam thickness.
Journal ArticleDOI
Free vibration analysis of functionally graded beams with simply supported edges
Metin Aydogdu,Vedat Taskin +1 more
TL;DR: In this article, the free vibration of simply supported FG beam was investigated and the governing equations were found by applying Hamilton's principle, and different higher order shear deformation theories and classical beam theories were used in the analysis.
Related Papers (5)
Free and forced vibration of a functionally graded beam subjected to a concentrated moving harmonic load
Mesut Şimşek,Turgut Kocatürk +1 more