On aeroelastic stability of a piezo-MRE sandwich plate in supersonic airflow

In this paper, aeroelastic characteristics of a sandwich plate subjected to a supersonic flow are studied. The material of face layers has piezoelectric effect and the core is a magnetorheological elastomer (MRE). The aerodynamic pressure duo to supersonic flow is considered based on linear piston theory. The kinematic assumption of classical plate theory for face layers is considered and strain components of MRE core are written based on geometric relations of displacement field of face layers. The equations of motion are obtained in according to Hamilton's principle. The generalized differential quadrature method (GDQM) is used as a solution technique of governing equations. In order to verify the validity of obtained results, a comparison of the first five natural frequencies is performed with those presented in the literature. The effects of magnetic field, type of piezoelectric material of face layers, boundary conditions, and geometric parameters on the supersonic aeroelastic stability of sandwich plate are investigated. The findings of this study indicate that the magnetic field has a beneficial effect on the maximization of stability boundary of sandwich plate. Also, by increasing the thickness of MRE core the critical aerodynamic pressure of the sandwich plate decreases.