Nonlinear dynamic responses of CNT-reinforced panels with complex curvature, piezoelectric layer, and CNT-reinforced stiffeners

In this paper, the nonlinear vibration and dynamic buckling responses of the sinusoid, parabola, and cylindrical CNT-reinforced panels with piezoelectric layer stiffened by a CNT-reinforced stiffener system in uniform temperature change with a piezoelectric layer are presented. An improved homogenization technique for the x- or y-direction CNT-reinforced stiffener system is utilized to determine the total stiffnesses of the considered structures. The higher-order shear deformation theory (HSDT) in conjunction with the von K<acute accent>arm<acute accent>an nonlinearities is adopted to formulate the motion equations, while the stress function for complex curvature panels is estimated using the like-Galerkin procedure. The nonlinear equation of motion is acquired by utilizing the Lagrange function and Euler-Lagrange's equations. The numerical examples use the Runge-Kutta technique to acquire the nonlinear time-amplitude curves, and the critical dynamic buckling load is determined using the Budiansky-Roth criterion. These examples evaluate the effects of stiffeners, piezoelectric layer, material, and geometrical parameters on the nonlinear vibration and dynamic buckling responses of the panels.