The effect of uniformly distributed carbon nanotubes and rotation on the frequencies of fiber metal laminated cylindrical shells

In this manuscript, the effects of carbon nanotubes and rotation on the free vibration of fiber metal laminated circular cylindrical shell based on Love’s first approximation theory have been studied. The representative volume element is consisting of four phases: fiber, carbon nanotubes (CNTs), polymer matrix and metal. Initially, the CNTs have been added to the matrix and then the fiber phase has been reinforced by them. Finally, the adhesive fiber prepreg has been combined with the thin metal layers. The generated cylindrical shell can be named CNT/fiber/polymer/metal laminates (CNTFPMLs) cylindrical shell. The effects of different parameters such as lay-ups, volume fractions of metal and composite sections, mass fraction of CNTs on the frequencies of CNTFPMLs cylindrical shell with respect to rotational speed have been considered. The results demonstrated that the frequency changes of CNTFPMLs cylindrical shell are different with growing for various volume fraction of fiber. The difference between backward and forward modes for different mass fractions increase with growing th