Free vibration and buckling of eccentric rotating FG-GPLRC cylindrical shell using first-order shear deformation theory

Abstract

Abstract The eccentric rotating cylindrical shell structure has an important application prospect in aerospace engineering field, such as space annular antenna. In this paper, the dynamic model of an eccentric rotating functionally graded grapheme platelets reinforced composite (FG-GPLRC) cylindrical shell based on the first-order shear deformation theory is established. The free vibration and buckling analyses of the eccentric rotating FG-GPLRC cylindrical shell under the axial excitation are presented. Taking into account the influences of the Coriolis force and centrifugal force caused by eccentric rotation. Considering five grapheme platelets (GPLs) distribution patterns of the FG-GPLRC cylindrical shell, and the modified Halpin-Tsai model is used to calculate the effective Young’s modulus. By utilizing the Hamilton principle, the first-order shear deformation shell theory and the von-Karman type nonlinear geometric relationships, a system of the partial differential governing equations for the eccentric rotating FG-GPLRC cylindrical shell is derived. Then, the ordinary differential equations of the cylindrical shell are obtained according to Galerkin method. The influences of the GPLs distribution pattern, weight fraction, eccentric distance, ratio of radius to thickness, ratio of length to radius, as well as rotating speed of the eccentric rotating FG-GPLRC cylindrical shell on the buckling and free vibration behaviors are discussed.