Quasi-3D theory for the vibration of a magnetostrictive laminated plate on elastic medium with viscoelastic core and faces

Abstract

The vibration of a magnetostrictive laminated composite sandwich plate with a viscoelastic core and faces rested on the two-parameter elastic medium is analyzed in the present article. The laminated sandwich plates are designed wherein consist of three kinds of composite materials: magnetostrictive material, fiber-reinforced material, and viscoelastic material in the core and faces. The viscoelastic core and faces are modeled as a Kelvin-Voigt viscoelastic model. The partial differential equations of motion are derived by implementing Hamilton’s principle. The analytical Navier’s solution type is obtained to analyze the behavior of the damping coefficient and the damped natural frequency coefficient. The influence of significant parameters is examined on vibration characteristics of the plate and discussed in detail, especially, location of smart layers, lamination schemes, elastic foundation coefficients, modes, the magnitude of the feedback coefficient, viscoelastic structural damping, thickness ratio, the aspect ratio, and viscoelastic layer thickness-to-magnetostrictive layer thickness ratio. Numerical results illustrate that the location of smart layers is an important element in the design of the plate to be more stable. It is anticipated that the findings reported in the study can be utilized to develop the adaptive structural applications and the solutions to future smart structure problems.