Analysis and investigation of the effect of elastic mechanical properties on the vibration behavior of cylindrical shells made of materials with gradient properties with different boundary conditions

Nowadays, rotating cylindrical shells have industrial applications such as centrifuges, turbines, dryers, rotating shafts, motors and rotors. Therefore, it seems necessary to study their vibrations. This research analyzes and investigates the effect of elastic mechanical properties on shell-like and beam-like behavior in the vibrations of cylindrical shells made of materials with gradient properties (FGM) with different boundary conditions, considering the effect of the length scale parameter with values different and also the effect of varying radius and thickness has been discussed. The results show that the modulus of elasticity and Poisson's ratio with different values ​​have no effect on the vibration behavior of cylindrical shells made of materials with gradient properties, and also with the increase of the constraint (boundary conditions), the displacement (displacement) is less and the natural frequency increases. and the effect of the boundary conditions decreases with the increase of the length parameter. Finally, a relationship has been obtained to show the behavior change from shell-like to arrow-like. The results are in good agreement with other literature.