Control of dynamic response of the functionally graded smart sandwich beam coupled variable Kelvin–Voigt–Pasternak's model

Abstract

Navier’s theoretical solution of the dynamic responses of a rectangular smart beam embedded in a variable viscoelastic foundation is presented by applying a higher-order shear deformation theory. The theory presents a valid representation of the transverse shearing strains; therefore, the shear correction factors are not needed. The elastic part of the foundation is assumed as a Winkler-Pasternak medium considering a variation in Winkler’s layer along a structure side; however, the shear layer stiffness is assumed to be constant. The constant feedback gain control is employed to control vibration of the studied system. Some numerical examples are introduced to investigate the dynamic responses of the system with full illustrations of the different geometrical parameters variation.

Keywords

• Vibration response
• Magnetostrictive actuator
• Functionally graded material
• Viscoelastic fiber-reinforced material
• Variable viscoelastic foundation