Control of hygrothermal vibration of viscoelastic magnetostrictive laminates resting on Kerr’s foundation

Abstract

Many composite structural applications undergo several environmental conditions, so, for the optimal design of the composite structural systems and efficient use of the engineering applications, the accurate vibrational behavior prediction of the composite structures subjected to thermal/hygrothermal environments effect is required. In the current study, vibration response and damping behavior of a multilayered composite plate with viscoelastic faces and homogenous core, resting on three-parameter Kerr’s foundation are analyzed based on a higher-order shear deformation plate theory with an exponential shape function. Simple velocity feedback control and two magnetostrictive (Terfenol-D) actuators are utilized for controlling the vibration of the sandwich plate. The governing system of the vibration problem is formulated using Kelvin-Voigt viscoelastic relation and Hamilton’s principle as well as the system is solved analytically according to Navier’s approach. To assess influences of the significant parameters such as the magnitude of the feedback control gain, the magnetostrictive layer location, the geometric coefficients, the magnetostrictive layer thickness-to-core thickness ratio, the viscoelastic layer thickness-to-core thickness ratio, orientations of the viscoelastic layer’s fiber, the half wave numbers, the lower and upper spring stiffness, the shear layer stiffness, the temperature and moisture concentrations on frequencies and deflection of the structure, comprehensive parametric examples are discussed. Findings of the study indicate that control systems of the structural applications can be improved excellently by combining the passive and active strategies for vibration damping of the structures.