Longitudinal waves in a cylinder with active external friction in a limited area

Abstract

Abstract The problem of longitudinal wave propagation in a cylindrical body in the presence of an incompressible external medium in a length limited area is solved in the paper in a one-dimensional statement. Along with the non-uniformity of motion, the friction force arising on the contact surface directly depends on the parameters of propagating waves. Numerical results are obtained using the finite-difference method according to the Wilkins scheme for axisymmetric problems. The results of wave propagation in a cylindrical body with a rigid external medium frame limited in length are presented. According to the calculation results, an increase in wave parameters (stresses and particle velocity) over time and with distance are observed as well as the causes of stress increase mechanism in the cylinder; the effect of external load parameters and physical-mechanical characteristics of the cylinder on the parameters of propagating waves are determined. Waves arising from active friction and reflected from the boundaries are revealed and the effect of location and length of external medium on changes in wave parameters in the cylinder is revealed.