Analysis of forced vibration modes of a one-disk rotor on a nonlinear flexible base

The paper contains a description of the new approach in analysis of forced vibrations of mechanical systems, which is based on method of the nonlinear normal vibration modes by Shaw-Pierre. The variant of the nonlinear normal modes method which is suitable to analyze vibrations of the systems having an inner resonance, is presented. The model of unbalanced one-disk rotor on a nonlinear flexible base, is chosen as concrete one. Analytical results are compared with results of the numerical simulation.