Computer algebra technique for abrasive treatment process dynamics

Abstract

The mathematical model was compiled for the studies of the dynamics of an abrasive processing in a magnetic field. An analytical solution of its nonlinear part was found synthesizing harmonic balance method and computer algebra technique. Solutions of the linear part were obtained by the traditional numerical techniques. The numeric investigation of process dynamic features was fulfilled, regimes ensuring the most effective vibratory abrasive treatment process were determined. The process optimization was fulfilled using LP search method according the maximum power of treatment process and the greatest phase difference between the settled motion of abrasive particles and of components being treated.