Collision of a body with an elastic membrane

Problems on oscillations of an elastic weightless membrane stretched over a rigid circular ring, induced by normal and tangential incidence on it of a body in the form of a disc of radius small compared to the ring radius, are considered. According to existing theory, the large two-dimensional deformations that arise are described by nonlinear partial differential equations, but the main parameters of motion of the membrane can be estimated using simpler models proposed here.