Vibration Control of Fgm Thick Shells Using Higher Order Shear Deformation Theory

Abstract

Analytical solutions of Functionally Graded Material (FGM) shells with embedded magnetostrictive layers are presented in this study. These magnetostrictive layers are used for the vibration suppression of the functionally graded shells. The higher order shear deformation theory (HSDT) is employed to study the vibration suppression characteristics. The exact solution for the FGM shell with simply supported boundary conditions is based on the Navier solution procedure. Negative velocity feedback control is used. The parametric effect of the location of the magnetostrictive layers, material properties, and control parameters on the suppression effect are investigated in detail. Higher order shear deformation theory has significant influence on prediction of vibration response of thick shells. Further, it is found that (i) the shortest vibration suppression time is achieved by placing the actuating layers farthest from the neutral plane (ii) the use of thinner smart material layers leads to better vibration attenuation characteristics, and (iii) the vibration suppression time is longer for a smaller value of the feedback control coefficient.