Supersonic flutter study of porous 2D curved panels reinforced with graphene platelets using an accurate shear deformable finite element procedure

•Evaluation of flutter boundaries of 2D porous curved panel reinforcement with GPLs.•Inclusion of variation in distributions of pores and GPLs' presence in the thickness plane.•Assessment of different structural models in prediction of critical flutter speed.•Participation of vibration modes in coalescence and alteration of mode shapes with flow.•Effectiveness of GPL size on the flutter boundaries. The flutter behaviour of two-dimensional porous curved panels reinforced by graphene platelets exposed to supersonic flow on one side of the panels is investigated using the trigonometric shear deformation theory that satisfies stress free condition on the upper/lower surface of the panels. This structural model exhibits the thickness stretch effect thereby changing the transverse displacement. The effort to model the fluid-structure interaction is reduced by implementing the first-order approximation of piston theory aerodynamics to describe the flow. The solutions are found by introducing finite element methodology using a curved beam model. The critical flutter boundaries were predicted through the complex eigenvalue solution approach for the governing equations formulated adopting the Lagrangian formulation. Detailed numerical experimentation is made to show the effectiveness of the structural models, the influence of depth and length of curved panel, and panel edge conditions on the flutter boundaries of panels. Also, the material parameters such as porosity level, graphene platelet weight content, through-thickness distributions of nano-fillers and pores, size of nano-fillers are assessed on the flutter characteristics of 2D panels.