Abstract
In this paper, a semi-analytic method with Gegenbauer polynomials as an admissible function is presented. Free vibration analysis of rotating functionally graded graphene reinforced porous composite (FG-GPLRPC) stepped cylindrical shells with arbitrary boundary conditions is analyzed by using the unified Gegenbauer-Ritz method. The effective material properties of rotating FG-GPLRPC stepped cylindrical shells are obtained with Halpin-Tsai micromechanical model and the open-cell body theory. The boundary conditions at both ends of the structure and the continuous coupling between the shell segments are simulated with the artificial spring technique. Then, based on the first-order shear deformation theory (FSDT), the Rayleigh-Ritz method is employed to derive the equations of rotating FG-GPLRPC stepped cylindrical shells. Finally, the influences of several factors on dimensionless frequency of the shell are also assessed. The results show that this method has excellent convergence and higher computational efficiency. Furthermore, the traveling wave frequencies of different modes show different trends with the increase of rotating speed under elastic boundary conditions. In high-order modes, the influence of porosity coefficient is smaller than that of rotating speed.
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