Non-Linear Bearing Force of the Bearing and its Influence on Vibration of Spindle-Bearing System

In order to study the influence of the non-linear bearing force on the vibration of spindle bearing system, non-linear bearing force is deduced in the working state of the rolling bearing. Non-linear dynamic equations of a system are established and the numerical method is used to solve the equations. The system axis path chart, the bifurcation diagram and the Poincare figure are drawn in Matlab and used to analyze the characteristics of the system vibration with the different parameters. The results show that the change of the non-linear bearing force will cause the vibration of the system and bifurcation phenomena will appear in the system. Speed and damping are important parameters that influence the vibration form. By choosing reasonable working parameters the vibration of system can be reduced and the stability of the system can be improved.