Vibration analysis and energy capability of sandwich axisymmetric curved panel rested on the novel viscoelastic substrate

Abstract

Due to various applications of electro-rheological materials, in the current work, the vibration analysis and energy capability of a sandwich axisymmetric curved panel made of two graphene nanoplatelets reinforced composite (GPLRC) face sheets, and electro-rheological core is presented for the first time. For GPLRC face sheets, the material properties are acquired according to the micromechanics model along with the Halpin–Tsai. For modeling the accurate viscoelastic foundation with real applications, the current structure is reinforced by a novel viscoelastic substrate with four variables. With the aid of the complex shear modulus of ER material, the shear modules corresponding to the ER core of the current sandwich structure are modeled. Employing first-order shear deformation theory (FSDT) as well as Hamilton’s principle, the equations of motions for the current sandwich structure are presented. The differential quadrature method (DQM) with the weighted linear sum function of the amounts at each separated point in the throughout allowable input range for solving the governing equations using boundary conditions is presented. Finally, the influence of various physical along with geometrical parameters on the frequency performance and absorbed energy capacity of the sandwich axisymmetric curved panel are discussed in detail.