Active control of a sandwich plate with reinforced magnetostrictive faces and viscoelastic core, resting on elastic foundation

Abstract

The current study presents a vibration investigation of a laminated plate considering a viscoelastic core with embedded magnetostrictive layers. The simply-supported plate is supported via Pasternak’s substrate medium. Based on different plate theories and employing Hamilton’s principle, the system of governing differential equations is derived. The mechanical properties of the viscoelastic core are described depend on the time varies based on Kelvin–Voigt model. Actuating magnetostrictive layers are utilized to control the vibration damping process of the system with the assistance of feedback and constant gain distributed control. The analytical solution is obtained to investigate the influence of half wave numbers, thickness ratios, core thickness, aspect ratios, lamination schemes, elastic foundation parameters, damping coefficient, feedback coefficient magnitude, magnetostrictive layers location, on the vibrational behavior of laminated plate. Some observations about the vibration damping process of the present plate are displayed. The results refer to that the vibration suppression rate depends on the thickness of the plate, the feedback control value, the foundation constants, and the viscoelastic structural damping significantly. Moreover, the study can be providing benchmark tests to validate future contributions on the viscoelastic smart structural issues and developing the design of smart viscoelastic structures and control of their vibrations.

On the Solution of Dynamic Stability Problem of Functionally Graded Viscoelastic Plates with Different Initial Conditions in Viscoelastic Media

“…Sofiyev et al [41] examined the stability behavior of heterogeneous viscoelastic plates resting on two-parameter elastic foundations. Zenkour and El-Shahrany [42] presented the active control of a sandwich plate with reinforced magnetostrictive faces and a viscoelastic core resting on an elastic foundation. Li et al [43] investigated the vibration behavior of a fiber-reinforced polymer composite plate with viscoelastic damping boundary conditions resting on a viscoelastic foundation.…”

The effects of the elastic foundations on the frequency of the viscoelastic FG porous doubly-curved macro/nanosize shell subjected to hygro-thermo-magnetic fields using a novel quasi-3D shell theory

“…Shahsavari et al 9 simulated the free vibration of FG porous plates lying on several elastic foundations by considering the thickness stretching effect. Zenkour and El-Shahrany 10 acquired the dynamic response of a plate composed of a viscoelastic core and magnetostrictive layers located on the Winkler-Pasternak foundation. Exploiting several higher-order plate theories, Shahsavari et al 11 performed the buckling analysis of the nanoplates subjected to hygro-thermal loadings.…”