Vibration characteristics and shape optimization of FG-GPLRC cylindrical shell with magneto-electro-elastic face sheets

The objective of this study was to evaluate the effects of various geometrical parameters, materials, and boundary conditions on the vibrations of a smart cylindrical sandwich shell. The study also aimed to use the bees algorithm to maximize the natural frequencies based on the geometrical and material parameters of the smart sandwich shell. The structure of the shell consists of two outer layers of magneto-electro-elastic (MEE) and a middle layer of functionally graded graphene platelets reinforced composite (FG-GPLRC). The material properties of the MEE face sheets depend on the volume fraction of the piezoelectric and piezo-magnetic phases. The FG-GPLRC core layer is a multilayer isotropic polymer material reinforced by GPLs that are functionally graded and distributed in each layer. The shell is simultaneously subjected to external pressure and thermo-magneto-electro loads. Reddy's higher-order shear deformation shell theory was used to derive the basic equations, along with the relationships between deflection amplitude and time. The natural frequencies were obtained using Galerkin and Runge-Kutta methods, and the Budiansky-Roth standard was employed to determine the critical dynamic buckling load. The results of the study are discussed through parametric studies.

Automated summary

The study aims to evaluate the effects of various geometrical parameters, materials, and boundary conditions on the vibrations of a smart cylindrical sandwich shell, and use the bees algorithm to optimize the natural frequencies based on the geometric and material parameters. The shell structure consists of two layers of magneto-electro-elastic material and a middle layer of functionally graded graphene platelets reinforced composite. The results of the study are discussed through parametric studies.