Forced vibrations of circular sandwich plates under local suddenly applied loads

Axisymmetric transverse vibrations of a circular elastic three-layer plate under the influence of local surface, force and torque loads are considered. The hypothesis of a broken normal is accepted for the kinematics description of asymmetrical on the thickness of package. Kirchhoff's hypotheses are valid in the carrier layers. In a comparatively thick lightweight aggregate, the normal remains straight, but rotates by some additional angle. Analytical solutions are obtained by expanding the series in terms of a system of proper orthonormal functions. Their numerical analysis is made.