Free and Forced Vibration Analysis of Functionally Graded Material Cylinders by a Mesh-Free Method

Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering

مقاله 7، دوره 2، شماره 1، آذر 2009، صفحه 69-77   

نوع مقاله: Persian

نویسندگان

R. Moradi-Dastjerdi¹؛ M. Foroutan^{* 2}؛ A. A. Pour Asghar³

¹M.Sc., Young Researchers Club, Islamic Azad University, Khomeinishahr Branch

²Assistant Professor, Mechanical Engineering Department, Razi University, Kermanshah

³M.Sc. Student, Mechanical Engineering Department, Razi University, Kermanshah

چکیده

In this paper, free and forced vibration analysis of functionally graded material cylinders was carried out by mesh-free and finite element method. In this analysis, MLS shape functions are used for approximation of displacement field in the weak form of motion equation and essential boundary conditions are imposed by transformation method. Resulted set of differential equations are solved using central difference approximation. Mechanical properties of cylinders were assumed to be variable in the radial direction as a function of volume fraction. Effects of geometrical dimensions of the cylinders, exponent of material volume fraction and the effect of loading type were investigated by the proposed model and FEM. Results obtained by this analysis were compared with the analytical solutions and the results of finite element analysis, and a very good agreement was seen between them.
 

کلیدواژه‌ها

FGM؛ Mesh-Free؛ MLS؛ Vibration؛ Transformation function

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