One of the most important topics in the design procedure of FG structures is dynamic analysis and tracking of elastic waves. In recent years, research has been carried out in the areas of wave propagation and dynamic analysis of structures made of FGM. Stress wave propagation [1], analysis of one-dimensional wave propagation [2], design of FGM based on stress wave management [3] and dynamic analysis of FG structures under impulsive loading [ 4] can be listed among previous works. . The wave dispersion behavior in a functionally graded elastic plate was studied using stratified plate theory by Chen et al. [5]. Also, Hosseini et al. [6] studied the dynamic response and propagation speed of radial waves in a thick hollow cylinder made of FGM. They solve the Navier equation using a hybrid numerical method based on the composition of Galerkin finite element methods and Newmark finite difference methods. They obtained diffusion relations by considering the continuity conditions at the interfaces between any two layers and the boundary conditions at the interior and exterior surfaces of the FG cylinder. Vibration and dynamic buckling control of imperfect hybrid FGM plates was studied by Shariyat [7]. He studied the vibrations and dynamic buckling of rectangular FGM plates with surface-bonded or embedded piezoelectric sensors and actuators subjected to thermoelectromechanical loads. The vibration and stability behavior of freely supported FGM conical shells subjected to external pressure was studied in detail by Sofiyev [8]. There are also analytical methods to simulate elastic wave propagation in FG structures, one of which was presented by Hosseini and Abolbashari [9]. In their paper, an analytical method proposes...... middle of article ...... models of microstructures as well as mechanical properties can be designed with two direction variations. This type of FGM is called This article deals with the dynamic analysis of functionally classified thick cylindrical panels with the mechanical properties of the 2D-FG panel which are simulated using a nonlinear power function with two-dimensional volume fractions. Elastic wavefronts are tracked in two-dimensional domains (r-θ) for different types of dimming models. Furthermore, the time history of displacement and propagation of displacement waves is discussed in detail for various values ​​of exponents in 4041424344454647 two-dimensional volume fractions. It can be concluded from the presented data and results that the 48MLPG method is a very effective method with high accuracy for two-dimensional wave propagation analyzes in FGMs with one- or two-dimensional dimming models..