Bifurcation analysis for nonlinear multi-degree-of-freedom rotor system with liquid-film lubricated bearings  

作　　者：于海 陈予恕 曹庆杰 

机构地区：[1]School of Astronautics, Harbin Institute of Technology

出　　处：《Applied Mathematics and Mechanics(English Edition)》2013年第6期777-790,共14页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No. 11072065)

摘　　要：The oil-film oscillation in dimensional nonlinear problem. In this a large rotating machinery is a complex high- paper, a high pressure rotor of an aero engine with a pair of liquid-film lubricated bearings is modeled as a twenty-two-degree-of-freedom nonlinear system by the Lagrange method. This high-dimensional nonlinear system can be reduced to a two-degree-of-freedom system preserving the oil-film oscillation property by introducing the modified proper orthogonal decomposition （POD） method. The effi- ciency of the method is shown by numerical simulations for both the original and reduced systems. The Chen-Longford （C-L） method is introduced to get the dynamical behaviors of the reduced system that reflect the natural property of the oil-film oscillation.The oil-film oscillation in dimensional nonlinear problem. In this a large rotating machinery is a complex high- paper, a high pressure rotor of an aero engine with a pair of liquid-film lubricated bearings is modeled as a twenty-two-degree-of-freedom nonlinear system by the Lagrange method. This high-dimensional nonlinear system can be reduced to a two-degree-of-freedom system preserving the oil-film oscillation property by introducing the modified proper orthogonal decomposition （POD） method. The effi- ciency of the method is shown by numerical simulations for both the original and reduced systems. The Chen-Longford （C-L） method is introduced to get the dynamical behaviors of the reduced system that reflect the natural property of the oil-film oscillation.

关 键 词：oil-film oscillation modified proper orthogonal decomposition （POD）method Chen-Longford （C-L） method primary resonance 

分 类 号：TH133.3[机械工程—机械制造及自动化]