An analytical solution for vibro-acoustic characteristics of sandwich panel with 3DGrF core and FG-CNT reinforced polymer composite face sheets

Abstract

This paper presents the analytical solution on vibro-acoustic characteristics of three-dimensional graphene foam core and functionally graded carbon nanotube-reinforced polymer face sheet (3DGrFC-CNTRPFS) sandwich panel. Stress resultants of functionally graded carbon nanotube reinforced composite face sheets and 3D graphene foam core are determined by integrating their relevant stress expressions over the thickness of the face sheet and core, respectively. Further, this stress resultants are used in the equation based on Hamilton's principle to develop the governing equation. The third-order shear deformation theory is used to capture the effect of transverse shear in dynamic response. Based on mode superposition principle, the vibration response is calculated. This vibration response is given as an input to the Rayleigh integral to calculate the sound radiation characteristics. The study focuses on capturing the acoustic characteristics by varying the porosity coefficient of 3D graphene foam in the core while the carbon nanotubes are varied along with the thickness of the face sheets. The detailed analysis of the effect of the various functionally graded pattern of carbon nanotube and porosity coefficient of 3D graphene foam on acoustic characteristics is studied and the results are discussed.