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Sandwich beam micro-vibration suppression with magneto-reological core using refined layer-wise theory

This article deals with the dynamic characteristics of sandwich plates consisting of external rigid layers and an inner layer with magnetorheological (MR) properties. The effect of the electric field on the frequency and the loss factor is also considered. Magneto-rheological viscoelastomer (MRVE) is used in sandwich plates for microvibration control. The dynamic behavior of MRVE during microvibration is characterized by the inhomogeneous complex module, which depends on the oscillation frequency and is controlled by a applied magnetic field. Partial differential equations for the coupled transverse and longitudinal oscillations of a sandwich plate are obtained from the conditions of dynamic equilibrium, physical and kinematic relations. This paper presents a new method for stress analysis for the accurate determination of detailed stress distributions in multilayer plates subjected to cylindrical bending. Here are some approximate methods for predicting the stress state for laminated plates. This method is adaptive and is not based on strict assumptions about the plate model. The described theoretical model includes the deformations of each layer of the plate, which take into account the effects of deformation of the transverse shear, transverse normal deformation, and nonlinear displacement changes with respect to the coordinate of thickness.