Chaos and Nonlinear Dynamic Analysis of High-Speed Rolling Element Bearings due to Varying Number of Rolling Elements

摘要

This paper presents a mathematical model to investigate the nonlinear dynamic behavior of a rotor-bearing system due to varying the number of rolling elements. In the formulation, the contacts between rolling elements and inner/outer races are considered as nonlinear springs. A nonlinear damping formula, correlating the contact damping force with the equivalent contact stiffness and contact deformation rate is used in the derivation. The effects of varying number of rolling elements on periodic, quasi-periodic and chaotic behavior are analyzed. Results presented in form of frequency response, Poincare maps and Orbit plots to show the vibration characteristics of the rotor and its bearings.