A parametric optimization problem is formulated for the metal cutting machine main drive as a multicriteria nonlinear optimization problem of robust dynamical system. A mathematical model determining amplitude-frequency characteristics of tortional forced-vibrations of the main drive is developed. An assessment system of the vibrational stability is presented. A procedure determining the unique Pareto optimal solution by means of direct approach and a compromising scheme based on the concept of the "utopical" point in the criteria space and procedure for a "µ-selection" are utilized for approximatelly solving the formulated problem. An example which considers the parametric optimization for the main drive of CNC machine CE063 is included.
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