Analysis of Dynamic Response of a Two Degrees of Freedom (2-DOF) Ball Bearing Nonlinear Model

Often the input values used in mathematical models for rolling bearings are a wide range, i.e., very small of deformation and damping confronted with big stiffness governing equations, which leads to miscalculations. This paper presents two degrees freedom (2-DOF) dimensionless model ball describing procedure, helps scale problem reveal relationships between terms their influence on system’s response. The derived considers nonlinear features as stiffness, damping, radial internal clearance referring Hertzian contact theory. Further, important also taken into account including an external load, eccentricity shaft-bearing system, shape errors raceway investigating variable dynamics bearing. Analysis obtained responses Fast Fourier Transform, phase plots, orbit recurrences provide rich source information about system it helped find transition periodic chaotic response how affects topology RPs recurrence quantificators.