Nonlinear Dynamic Response of Nanocomposite Annular Sector Plate with Variable Thickness Subjected to Rotating Motion and Thermal Environment

This paper provides an examination of the nonlinear dynamic response of functionally graded composite annular sector plate with variable thickness strengthened by carbon nanotubes (CNTs) subjected to time-dependent transverse loading. The effect of centrifugal load as well as the influence of thermal environment is included into formulation. Thermo-mechanical material properties of the nanocomposite annular sector plate are simulated by implementing various profiles for the propagation of CNT. The kinematic equations are determined for the spinning nanocomposite annular sector plate based on the Reissner–Mindlin shear deformation theory. The equations of motion are formulated via the principle of Hamilton and assuming the von-Karman type of geometric nonlinearity. An analytical technique and the fourth-order Runge–Kutta method are applied to solve the nonlinear system of partial differential equations (PDEs). Results of this research are compared with the existing results in the open literature and a good agreement is observed. Finally, numerical examples are generated and presented to explore the influences of effective material properties as well as plate’s geometrical parameters on the nonlinear transient behavior of the spinning nanocomposite annular sector plate with variable thickness.