Influence of Power Law Distribution with Pressure on the Frequencies of Supported Functionally Graded Material Cylindrical Shell with C-SL and F-SS Boundary Conditions

In this paper, influence power-law distribution with pressure on frequencies of the supported functionally graded cylindrical shell is studied. this shell is constructed from a functionally graded material (fgm) with two constituent materials. fgms are graded through the thickness direction, from one surface of the shell to the next. the supported fgm shell equations are created based on fsdt. the governing equations of the movement were utilized by the ritz method. the boundary conditions are clamp-sliding and free-simply support. the influence of the various values of the power-law distribution with pressure supported and different conditions on the frequencies characteristics are studied. this study shows that the frequencies decreased with the increase in the amounts of the power- law distribution with pressure. thus, the constituent power-law distribution with pressure effects on the frequencies. the results show the frequencies with different power-law distribution under pressures are various for different conditions.