Determination of periodic solution and its stability of sliding bearing-rotor system based on observed states

作者：Lu Yan Jun^*; Liu Heng; Dai Rong; Yu Lie; Jiang Ming; Kong Ling Fei

来源：Tribology, 2008, 28(3): 235-239.

• Bifurcation parameters
• Computational costs
• Control parameters
• Floquet theory
• high precision
• Jacobian
• Non-linear dynamics
• Non-linear oil-film forces
• Numerical examples
• Periodic solutions
• Quasi periodic (QP)
• Rotating speeds
• Rotor systems
• Sliding bearings
• Stability and bifurcations
• Transient information

Stability and bifurcation of sliding bearing-rotor system are analyzed. A numerical method is proposed to calculate the periodic solution and identify its stability of sliding bearing-rotor system based on observed states. Combined with Floquet theory, the method is used to analyze the stability and bifurcation of periodic solution. Taking the rotating speed as bifurcation parameter, periodic, quasi-periodic, co-existent and jumped solutions of the system are analyzed. The results show that the proposed method suffices to obtain the Jacobian of the system using the observed steady and transient information, so it is unnecessary to solve Jacobian of nonlinear oil film force of sliding bearing. It has high precision and saves computational cost compared with traditional PNF method. Meanwhile the method can trace periodic solution and identify stability which vary with control parameter. Numerical examples show that the proposed method can direct the nonlinear dynamics design of bearing-rotor system.

• 出版日期2008