Dynamic analysis of functionally graded material cylinders under an impact load by a mesh-free method

In this paper, dynamic analysis of functionally graded material cylinders is carried out under an impact load. In this analysis, MLS shape functions are used for the approximation of the displacement field in the weak form of motion equation and essential boundary conditions are imposed by the transformation method. The resulting set of differential equations is solved using central difference approximation. The mechanical properties of the cylinders are assumed to be variable in the radial direction. Effects of the geometrical dimensions of the cylinders and the exponent of material volume fraction on the natural frequencies are investigated by the proposed model and FEM. Then the response of the cylinders to an impact load is determined by the proposed model, and effects of the above-mentioned parameters on the stress wave propagation is investigated.