Free vibration of rotating graphene-reinforced laminated composite conical shells

Abstract

Abstract The free vibration behaviors of rotating laminated composite conical shells reinforced with graphene sheets are investigated. Refined Halpin-Tsai micromechanical approach and Donnell shell theory are used for material properties and kinematic relations, respectively. Both uniform and functionally graded patterns of graphene sheets are assumed. The effects of rotation about revolution axis, Coriolis acceleration, centripetal acceleration and hoop tension are considered in the governing equations which are derived in an explicit differential form. Direct coupling boundary conditions with governing equations and harmonic differential quadrature are applied to discretize three-coupled PDEs with variable coefficients in spatial domain. To verify, natural frequencies of rotating homogenous cylindrical and conical shells, stationary functionally graded and graphene-reinforced composite cylindrical shells are compared with available results in literature and reliable accuracy is observed. Then, the influences of wave number, angular velocity, boundary condition, graphene distribution and geometrical parameters on natural frequencies are examined via parametric studies.