Vibration Suppression of the Viscoelastic Sandwich Doubly-Curved Shells Using Magnetostrictive Layers Subjected to Kerr’s Foundation

Abstract

This research presents a novel model to examine the vibration and deflection analysis of the visco-magnetostrictive doubly-curved sandwich shell subjected to Kerr’s foundation. The shell has a homogenous core with two magnetostrictive layers and two viscoelastic faces. A velocity feedback control process is applied to reduce the vibration of the system using an active strategy. In the present model, active (magnetostrictive materials) and passive (viscoelastic materials) strategies are applied together to suppress the vibration of the sandwich shell. Simple sinusoidal deformation theory (SSDT) is dedicated to inspecting the shear impacts along with the thickness of the sandwich shell. Hamilton’s axiom and Kelvin–Voigt relation are dedicated to achieving the governing equations of motion. Then, the Navier solution technique is dedicated to deriving the eigenfrequency of the sandwich shell with simply-supported (S-S) boundary conditions. The results indicate that the present model can improve the vibration reduction of the curved structures by using the amalgamation of the passive and active strategies. Also, the application of Kerr’s foundation has a major impact on the vibration reduction of the system.