Free and Forced Vibration Behavior of Cylinders Made of Two Dimensional Functionally Graded Materials using Meshless Method

In this article, a meshless method is developed to analyze free and forced vibration behavior of axisymmetric cylinders made of two dimensional functionally graded materials (2DFGMs). The meshless method is the based on weak form of motion equations using the moving least square (MLS) shape functions. The 2DFGM cylinders are made of a mixture of a ceramic and a metal. The volume fraction of each component is assumed to be functionally varied along both radial and axial directions of cylinders. The effects of profile of material distributions, cylinder dimensions, boundary conditions and loading on the vibrational characteristics of the proposed 2DFGM cylinders are investigated. The results of investigating the vibrations of the cylinders made of 2DFGM confirmed that in the engineering design applications, the radial vibrations can be attenuated by adjusting the power coefficients along the radius and length of the cylinder.