Bifurcation on synchronous full annular rub of rigid-rotor elastic-support system

doi:10.1007/s10483-012-1591-7

摘要/Abstract

摘要： An aero-engine rotor system is simplified as an unsymmetrical-rigid-rotor with nonlinear-elastic-support based on its characteristics. Governing equations of the rubbing system, obtained from the Lagrange equation, are solved by the averaging method to find the bifurcation equations. Then, according to the two-dimensional constraint bi-furcation theory, transition sets and bifurcation diagrams of the system with and without rubbing are given to study the influence of system eccentricity and damping on the bi-furcation behaviors, respectively. Finally, according to the Lyapunov stability theory, the stability region of the steady-state rubbing solution, the boundary of static bifurcation, and the Hopf bifurcation are determined to discuss the influence of system parameters on the evolution of system motion. The results may provide some references for the designer in aero rotor systems.

关键词: tension structure, form finding, form function, unsymmetrical-rigid-rotor elastic-support system, rubbing, two-dimensional constraint bifurcation theory, stability

Abstract: An aero-engine rotor system is simplified as an unsymmetrical-rigid-rotor with nonlinear-elastic-support based on its characteristics. Governing equations of the rubbing system, obtained from the Lagrange equation, are solved by the averaging method to find the bifurcation equations. Then, according to the two-dimensional constraint bi-furcation theory, transition sets and bifurcation diagrams of the system with and without rubbing are given to study the influence of system eccentricity and damping on the bi-furcation behaviors, respectively. Finally, according to the Lyapunov stability theory, the stability region of the steady-state rubbing solution, the boundary of static bifurcation, and the Hopf bifurcation are determined to discuss the influence of system parameters on the evolution of system motion. The results may provide some references for the designer in aero rotor systems.

Key words: tension structure, form finding, form function, unsymmetrical-rigid-rotor elastic-support system, rubbing, two-dimensional constraint bifurcation theory, stability

中图分类号:

O322
V235.1

张华彪;陈予恕;李军. Bifurcation on synchronous full annular rub of rigid-rotor elastic-support system[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(7): 865-880.

Hua-biao ZHANG;Yu-shu CHEN;Jun LI. Bifurcation on synchronous full annular rub of rigid-rotor elastic-support system[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(7): 865-880.

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