ZHANG Hua-biao, CHEN Yu-shu, LI Jun. Bifurcation on the Synchronous Full Annular Rub of a Rigid-Rotor Elastic-Support System[J]. Applied Mathematics and Mechanics, 2012, 33(7): 812-827. doi: 10.3879/j.issn.1000-0887.2012.07.003
 Citation: ZHANG Hua-biao, CHEN Yu-shu, LI Jun. Bifurcation on the Synchronous Full Annular Rub of a Rigid-Rotor Elastic-Support System[J]. Applied Mathematics and Mechanics, 2012, 33(7): 812-827.

# Bifurcation on the Synchronous Full Annular Rub of a Rigid-Rotor Elastic-Support System

##### doi: 10.3879/j.issn.1000-0887.2012.07.003
• Rev Recd Date: 2012-03-29
• Publish Date: 2012-07-15
• Aero engine rotor system was simplified to be an unsymmetrical-rigid-rotor with nonlinear-elasticsupport based on its characteristics. Governing equations of the rubbing system obtained from Lagrange equation were solved by averaging method to find the bifurcation equations. Then, according to the two-dimensional constraint bifurcation theory, transition sets and bifurcation diagrams of the system with and without rubbing were given to study the influence of system’s eccentric and damping on the bifurcation behaviors, respectively. Finally, according to Liapunov stability theory, the stability region of steady-state rubbing solution and the boundary of static bifurcation and Hopf bifurcation were determined to discuss the influence of system parameters on the evolution of system’s motion. The research results may provide some references for the design of aero rotor systems.
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