The paper presents dynamic responses of annular plate composed of three layers. The middle layer of the plate has electrorheological properties expressed by the Bingham body model. The plate is loaded in the plane of facings with time-dependent forces. The electrorheological effect is observed in the area of supercritical plate behaviour. The influence of both material properties and geometrical dimensions of the core on plate behaviour is examined. The problem is solved analytically and numerically using the orthogonalization method and the finite difference method. Comparison of the results obtained using the finite difference and the finite element methods for a plate in critical state is shown. The numerical calculations are carried out for axisymmetric and asymmetric plate modes. The presented diagrams show the plate reaction to the changes in values of plate parameters and indicate that the supercritical control of plate work is possible.
Main notations r i , r o-inner and outer radii of the annular plate r, θ, z -cylindrical coordinates r, ρ -plate radius and dimensionless radius u, v -displacements in radial and circumferential directions, respectively δ, γ,δ,γ -differences of radial and circumferential displacements of the points in middle surfaces of facings and dimensionless differences, respectively h 1 = h 3 = h , h 2 -equal thickness of facings and core thickness, respectively