Free and forced vibration analysis of 3D graphene foam truncated conical microshells

Abstract

This paper analyzes the free and forced vibrations of three-dimensional graphene foam (3D-GrF) truncated conical microshells. Different distributions of the 3D-GrF are considered. In accordance with Love’s thin shell theory and the modified couple stress theory, governing equations which consider the size effect are established by the Hamilton’s principle. Then, vibration characteristics of 3D-GrF truncated conical microshells are studied through the Galerkin’s method. A series of results show that the apex angle, the 3D-GrF distribution, the foam coefficient, the circumferential wave number and the material length scale parameter play important roles on vibration characteristics of the conical microshells.