Abstract: The non-linear dynamic model is set up of one type of high-speed painting automizor with gas supporting system. The kinematic stability and dynamic response of the gas painting automizor system are studied over a relatively wide range of rotating speed by numerical analytic method, and the time histories, phase diagrams and axis tracing curves are obtained under working and non-working conditions. Furthermore, the range of the critical parameter of the system when Hopf bifurcation occurs and the law between axis trace and bearing clearance are acquired.

Key words: Gas bearing, Kinematic stability, Painting automizor, Continuously variable transmission Extremum seeking of sliding mode Slip ratio Transmission efficiency