A unified vibration modeling and dynamic analysis of FRP-FGPGP cylindrical shells under arbitrary boundary conditions

In this study, a unified vibration model of fiber reinforced polymer (FRP) cylindrical shell with functionally graded porous graphene platelets (FGPGP) coating is proposed. The material properties of four types of FGPGP coating are presented first, and then the displacements of the structure are expressed by using the first-order shear deformation theory. The energy expressions of coating are introduced by the multi-segment partition technique. Then, an artificial spring method is employed to simulate arbitrary boundary conditions. With the application of the Jacobi orthogonal polynomials and the multi-segment partition techniques, the equation of motion of FRPCS with FG-PGP coating is derived to solve the free and forced vibrations. Finally, the model is systematically verified with some references and dynamic analysis with different coating patterns, boundary conditions and the thickness of coating are comprehensively investigated. (c) 2021 Elsevier Inc. All rights reserved.

Automated summary

The study proposed a unified vibration model of FRP cylindrical shell with FGPGP coating. By introducing multi-segment partition techniques, artificial spring method, and Jacobi orthogonal polynomials, the equation of motion of FRPCS was derived to solve free and forced vibrations.