Free and Forced Vibration Analysis of Functionally Graded Material Cylinders by a Mesh-Free Method
Subject Areas : Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering
رسول مرادی دستجردی
1
(کارشناس ارشد، باشگاه پژوهشگران جوان، دانشگاه آزاد اسلامی واحد خمینی‌شهر)
مهرداد فروتن
2
(استادیار، گروه مهندسی مکانیک، دانشکده فنی- مهندسی، دانشگاه رازی کرمانشاه)
امین‌الله پوراصغر
3
(دانشجوی کارشناسی ارشد، گروه مهندسی مکانیک، دانشکده فنی- مهندسی، دانشگاه رازی کرمانشاه)
Keywords: Vibration, FGM, Mesh-Free, Transformation function, MLS,
Abstract :
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.
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