Bending solutions of FGM Timoshenko beams from those of the homogenous Euler–Bernoulli beams
نویسندگان
چکیده
منابع مشابه
Thermomechanical Buckling of Temperature- dependent FGM Beams
Functionally graded materials, as a branch of new materials, have attracted increasing attention in recent years. A survey in the literature reveals the existence of wealth investigations on analysis of functionally graded material beams. Among them, Kang and Lee [1] presented explicit expressions for deflection and rotation of an FGM cantilever beam subjected to an end moment. Considering the ...
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Buckling and post-buckling thermomechanical deformations of a functionally graded material (FGM) Timoshenko beam resting on a two-parameter nonlinear elastic foundation and subjected to only a temperature rise have been numerically investigated with the shooting method. The material properties are assumed to vary only in the thickness direction according to a power law function. Through-the-thi...
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Bending, buckling and vibration behaviors of nonlocal Timoshenko beams are investigated in this research using a variational approach. At first, the governing equations of the nonlocal Timoshenko beams are obtained, and then the weak form of these equations is outlined in this paper. The Ritz technique is selected to investigate the behavior of nonlocal beams with arbitrary boundary conditions ...
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This study investigated bending, buckling, and free vibration responses of hyperbolic shear deformable functionally graded (FG) higher order beams. The material properties of FG beams are varied through thickness according to power law distribution; here, the FG beam was made of aluminium/alumina, and the hyperbolic shear deformation theory was used to evaluate the effect of shear deformation i...
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This paper aims at presenting a new efficient element for free vibration and instability analysis of Axially Functionally Graded Materials (FGMs) non-prismatic beams using Finite Element Method (FEM). Using concept of Basic Displacement Functions (BDFs), two- node element extends to three-node element for obtaining much more exact results using FEM. First, BDFs are introduced and computed usin...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2013
ISSN: 0307-904X
DOI: 10.1016/j.apm.2013.02.047