• فهرست مقالات Functionally graded plates

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        1 - Free Vibrations of Three-Parameter Functionally Graded Plates Resting on Pasternak Foundations
        J.E Jam S Kamarian A Pourasghar J Seidi
        In this research work, first, based on the three-dimensional elasticity theory and by means of the Generalized Differential Quadrature Method (GDQM), free vibration characteristics of functionally graded (FG) rectangular plates resting on Pasternak foundation are focuse چکیده کامل
        In this research work, first, based on the three-dimensional elasticity theory and by means of the Generalized Differential Quadrature Method (GDQM), free vibration characteristics of functionally graded (FG) rectangular plates resting on Pasternak foundation are focused. The two-constituent functionally graded plate consists of ceramic and metal grading through the thickness. A three-parameter power-law distribution is considered for the ceramic volume fraction. The benefit of using a three-parameter power-law distribution is to illustrate and present useful results arising from symmetric, asymmetric and classic profiles. A detailed parametric study is carried out to highlight the influences of different profiles of fiber volume fraction, three parameters of power-law distribution and two-parameter elastic foundation modulus on the vibration characteristics of the FG plates. The main goal of the structural optimization is to minimize the weight of structures while satisfying all design requirements imposed. Thus, for the second aim of this paper, volume fraction optimization of FG plates with objective of minimizing the density to achieve a specified fundamental frequency is presented. The primary optimization variables are the three parameters of the volume fraction of ceramic. Since the optimization processes is complicated and too much time consuming, a novel meta–heuristic called Imperialist Competitive Algorithm (ICA) which is a socio-politically motivated global search strategy and Artificial Neural Networks (ANNs) are applied to obtain the best material profile through the thickness. The performance of ICA is evaluated in comparison with other nature inspired technique Genetic Algorithm (GA). Comparison shows the success of combination of ANN and ICA for design of material profile of FG plates. Finally the optimized material profile for the considered optimization problem is presented. پرونده مقاله
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        2 - Effect of Non-ideal Boundary Conditions on Buckling of Rectangular Functionally Graded Plates
        J Mohammadi M Gheisary
        We have solved the governing equations for the buckling of rectangular functionally graded plates which one of its edges has small non-zero deflection and moment. For the case that the material properties obey a power law in the thickness direction, an analytical soluti چکیده کامل
        We have solved the governing equations for the buckling of rectangular functionally graded plates which one of its edges has small non-zero deflection and moment. For the case that the material properties obey a power law in the thickness direction, an analytical solution is obtained using the perturbation series. The applied in-plane load is assumed to be perpendicular to the edge which has non-ideal boundary conditions. Making use of the Linshtead-Poincare perturbation technique, the critical buckling loads are obtained. The results were then verified with the known data in the literature. پرونده مقاله
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        3 - Forced Vibration Analysis of Functionally Graded Rectangular Plates with Porosities under a Moving Load
        احمدرضا خورشیدوند علی خیری
        In this paper, vibration behaviors of functionally graded rectangular plates with porosity under a moving concentrated load are considered. Mechanical properties such as elasticity modulus and density of functionally graded (FG) plates are varied as power-law, while Poi چکیده کامل
        In this paper, vibration behaviors of functionally graded rectangular plates with porosity under a moving concentrated load are considered. Mechanical properties such as elasticity modulus and density of functionally graded (FG) plates are varied as power-law, while Poisson’s ratio is kept constant and porosity as two types of evenly distribution (porosity-I) and unevenly distribution (porosity-II) is assumed. Based on first order shear deformation theory (FSDT) and by employing Hamilton’s principle, the theoretical equations of motion and boundary conditions are derived. Dimensionless discrete equations have been achieved by using generalized differential quadrature method and Newmark procedure. The convergence and accuracy of the present formulation and method of the solution are demonstrated. The effect of volume fraction index, porosity volume fraction and distribution pattern on displacements of plates have been investigated. It is discovered that the volume fraction index has a significant effect on the deflection of the plates and the porosity volume fraction influences more significantly on deflection of porous FG plates in porosity-I than in porosity-II. پرونده مقاله