Forced vibrations of a three-layer step-variable thickness circular plate under impact

The problem of forced oscillations of a three-layer circular plate with step-variable thickness of the outer layers is presented. The historical review of the theories that have been developed for the straining representation of a three-layer structure is presented. The deformation of the plate follows the zig-zag theory. In thin border layers of plate Kirchhoff’s hypotheses are valid. In a relatively thick in thickness medium layer Timoshenko’s hypothesis is fulfilled. The equations of motion are derived from Hamilton’s variational principle. A solution is constructed to determine the displacements during forced vibrations of a plate under impact. Numerical results of the obtained solution are presented. The influence of impact function on the oscillatory character is analyzed.