An innovative system for novel vibration of rotating FG shell with combination of fraction laws

A new model with the combination of the Galerkin's technique have been developed for functionally graded cylindrical shell. For the vibrations of rotating cylindrical shells, three volume fraction laws i.e., polynomial, trigonometric and exponential are combined mathematically. The obtained results show that by increasing length-to-radius and height-to-radius ratios, the backward and forward frequency value decreases and increases, respectively. Moreover, on increasing the rotating speed, the backward frequencies increases and forward frequencies decreases. The results generated furnish the evidence regarding applicability of present model with clamped-clamped boundary conditions and also verified by earlier published literature.