Free vibration analysis of a functionally graded cylindrical shell reinforced with graphene sheets conveying flow

This research investigates the vibration of a functionally graded material cylindrical shell reinforced with graphene layers under the influence of fluid flow. The equations of motion for the cylindrical shell are derived using three-dimensional elasticity theory. The cylindrical shell is assumed to be multilayered and coupled with an incompressible fluid flow, where the fluid-structure interaction is applied at the inner surface of the shell. Potential flow theory is employed to model the incompressible fluid flow. Vibration analysis results demonstrate that the natural frequency decreases with increasing fluid velocity. The three-dimensional elasticity theory utilized here leads to a highly accurate numerical solution. A parametric study is conducted to determine the effects of the shell's radius to thickness ratio, length, and vibration mode numbers on the critical velocity of the functionally graded material shell.

کلیدواژه ها:

Fluid-structure interaction ، cylindrical shell ، vibration analysis ، functionally graded material ، graphene layers