The Supersonic Flutter Behavior of Sandwich Plates with an Magnetorheological Elastomer Core and Gnp-Reinforced Face Sheets

Abstract

This paper is provided to study the supersonic flutter behavior of sandwich plates with a magnetorheological (MR) core and polymeric face sheets reinforced with graphene nanoplatelets (GNPs). The mathematical modelings of the plate and the aerodynamic pressure of the fluid flow are performed utilizing the first-order shear deformation theory (FSDT) and the linear piston theory, respectively. The effective mechanical properties of the face sheets are estimated utilizing the rule of mixture along with the Halpin–Tsai model. Hamilton’s principle is employed to derive the governing equations and associated boundary conditions and these equations are solved using a semi-analytical approach for a Levy-type plate. The influences of different parameters on the aeroelastic stability of the plate are investigated such as the thickness of the MR core, magnetic field intensity, distribution pattern and mass fraction of the GNPs, boundary conditions, and geometrical parameters of the plate. This paper is the first theoretical attempt to study the effects of MR materials on the aeroelastic stability of Levy-type moderately thick sandwich plates and presents useful results that will be useful in the future of air vehicles.