The free vibration response of temperature-dependent carbon nanotube-reinforced composite stiffened plate

In this present investigation, an eight-nodded isoparametric finite element method is used to model the geometry of the stiffened plate based on first-order shear deformation theory. Three nodded isoparametric beam elements with four degrees of freedom per node are employed to model the stiffener's geometry. The carbon nanotubes are distributed through the thickness direction of the stiffened plate. The generalized dynamic equilibrium equation is derived from Lagrange's equation of motion using minimum potential energy. The significance of stiffeners addition, stiffeners dimension, aspect ratio, thickness ratio, boundary conditions, fiber volume fraction and temperature on the natural frequency is scrutinized in detail.