Elastic wave propagation in a cylinder with external active friction

Abstract

Abstract Wave propagation in an elastic cylindrical body interacting with an external moving absolutely non-deformable medium (a cage) under a shock load on the front end is considered. The friction force arising on the contact surface directly depends on the parameters of the propagating waves and, due to the external medium motion,-it is active. The stated one-dimensional problem is solved analytically by the method of characteristics. Exact solutions are obtained for the stress wave propagation in a cylinder. An increase in the wave parameters with time and distance was determined; the influence of the parameters of external load and the physical and mechanical characteristics of the cylinder on the parameters of the increase in propagating waves were determined. The place and time of equalization of the velocities of the cylinder particles and the external medium motion, and the stress state of the cylinder particles, were discussed.