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A semi-analytical approach, combining the features of analytical and numerical computations, is proposed. Separating the linear and nonlinear parts of equations of motion, the harmonic balance method and computer algebra have been synthesized for obtaining analytical solutions of the nonlinear part, whereas the linear part was solved by the numerical methods. On the basis of this technique, the numerical investigation of abrasive treatment process dynamics has been performed and regimes ensuring the most effective treatment process determined.

Semi-analytical Approach for Analyzing Vibro-Impact Systems