Period Solution Bifurcation and Stability Analysis of Nonlinear Squeeze Film Damper Rotor System

The oil film forces of squeeze film damper were obtained from database method, the nonlinear dynamic characteristics, nonsynchronous motion and period solution bifurcation and stability for nonlinear SFD rotor system was investigated based on stability and bifurcation theory of nonlinear dynamics system. The sub harmonious, quasi period, chaotic motions and a cascade of period doubling bifurcation happens and then lead to chaotic motion is illustrated. The bifurcation points, bifurcation diagram and three circumstances of period solution bifurcation leading to unstability are acquired for SFD rotor system, namely saddle node bifurcation, Hopf bifurcation and period doubling bifurcation. Floquet theory are chosen to analyze the stability of SFD rotor system