A new approach to reinforce the fiber of nanocomposite reinforced by CNTs to analyze free vibration of hybrid laminated cylindrical shell using beam modal function method

This research deals with a study of the free vibration of fiber metal laminate thin circular cylindrical shell reinforced by single walled carbon nanotubes with different boundary conditions. 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 laminate (CNTFPML) cylindrical shell. In this study, Love's first approximation shell theory has been used to obtain the strain-displacement relations and also, beam modal function model has been utilized to satisfy the governing equations of motion. The effects of mass fraction of CNTs, volume fraction of fiber and metal, axial and circumferential modal numbers, and different distributions of CNTs subjected to different boundary conditions on the vibration of the shell have been considered. In addition, the influences of different lay-ups and different material properties of fiber have been investigated.