Pre-thermal buckling and frequency characteristics of imperfect graphene nanoplatelets reinforced composite curved open cylindrical micropanel under nonlinear thermal loading

Abstract

This is the first research on the pre-thermal buckling and vibration analysis of imperfect graphene nanoplatelets reinforced composite (GPLRC) doubly curved open cylindrical micropanel in the framework of numerical based two dimensional-generalized differential quadrature method (2D-GDQM). Additionally, the small-scale effects are analyzed based on nonlocal strain gradient theory (NSGT). The stresses and strains are obtained using the high order shear deformable theory (HOSDT). Rule of mixture is employed to obtain varying mass density, thermal expansion, and Poisson’s ratio, while module of elasticity is computed by modified Halpin–Tsai model. In addition, nonlinear temperature changes along the GPLRC micro panel’s thickness direction. Governing equations and boundary conditions of the GPLRC doubly curved open cylindrical micropanel are obtained by implementing Hamilton’s principle. Besides, for the validation of the results, the results of current model are compared to the results acquired from analytical method. The results show that GPL weight function (), imperfection, the ratio of shell curvatures (R 1/R 2), NSG parameters, and geometric parameters have significant influence on the frequency and pre-thermal buckling characteristics of the GPLRC doubly curved open cylindrical micropanel.