Dynamics of a Vertical Unbalanced Gyroscopic Rotor with Nonlinear Characteristics

摘要

This study proposes to use the non-linear properties of the support bearing viscoelastic material for damping of resonance oscillations of a vertical unbalanced gyroscopic rotor. To this end, it analyzes in detail the impact of non-linear damping and non-linear elastic characteristics of the support bearing material on the resonance curve and vibration stability. The options of nonlinear quadratic and cubic stiffness of the material are considered. If a cubic nonlinear stiffness influences the transmissibility to much higher resonance regions, on the contrary a quadratic nonlinear stiffness influences the transmissibility to much lesser resonance regions. Under the influence of the nonlinear damping and nonlinear elastic characteristics of support bearing not only the resonance amplitude of oscillations greatly decreases, but also the boundaries of the instability region are moved down, and its width reduces significantly. The results are of significant importance in the analysis and design of nonlinear passive vibration isolators.