Semi-analytical modeling and analysis on traveling wave vibration characteristics of spinning FGP-GPLRC stepped cylindrical shells under discontinuous boundary conditions

A semi-analytical modeling approach is introduced for investigating the traveling wave vibration characteristics of spinning functionally graded porous graphene platelet-reinforced composite (FGP-GPLRC) stepped cylindrical shells under discontinuous boundary conditions. The equivalent material properties of the stepped shell are generated based on the open cell body theory and the Halpin-Tsai micromechanical model. Then, the arc connection approach is introduced, and the artificial spring method is used to model the continuous coupling relationship between the shell segments and discontinuous boundary conditions at the ends of the shell. Based on the first-order shear deformation theory (FSDT), the traveling wave frequency of the shell under discontinuous boundary conditions is solved by the Gegenbauer-Ritz method and the state space method. Finally, the correctness of the semi-analytical modeling approach is confirmed by comparison of the results with the literature and the finite element method. In addition, the effects of various parameters on the frequency of spinning FGP-GPLRC stepped cylindrical shells under discontinuous boundary conditions are discussed.