固定瓦-可倾瓦微气体轴承-转子系统的非线性运动分析  

Nonlinear dynamic analysis for a rotor system supported with fixed-tilting pad micro gas-lubricated bearings

作　　者：张永芳[1,2] 吕烨迪 肖良君 赵晶群 刘成[1,2] ZHANG Yong-fang Lü Ye-di XIAO Liang-jun ZHAO Jing-qun LIU Cheng(School of Printing, Packaging Engineering and Digital Media Technology, Xi’an University of Technology, Xi’an 710048, China State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an 710049, China)

机构地区：[1]西安理工大学印刷包装与数字媒体学院,西安710048 [2]西安交通大学机械结构强度与振动国家重点实验室,西安710049

出　　处：《振动与冲击》2017年第11期65-72,85,共9页Journal of Vibration and Shock

基　　金：国家自然科学基金(51505375);机械结构强度与振动国家重点实验室开放课题(SV2016-KF-10);陕西省教育厅科学研究计划项目(15JK1549;15JS068)

摘　　要：针对固定瓦-可倾瓦微气体轴承,考虑气体稀薄效应,给出了具有Burgdorfer一阶滑移速度边界的Reynolds方程,运用微分变换法结合有限差分法求解方程,得到了各瓦块在单块瓦坐标系中的非线性气膜力,然后通过组装技术获得了固定瓦-可倾瓦微气体轴承的气膜力。针对固定瓦-可倾瓦微气体轴承支撑的刚性Jeffcott转子系统,运用转子中心轨迹图、Poincaré映射图和时间历程图分析了转子的不平衡响应,比较了努森数、转速等对转子系统非线性特性的影响。数值结果表明:稀薄效应对转子中心的运动轨迹有较大影响,转子系统的不平衡响应表现为周期一运动、周期三运动和周期四运动。By considering gas rarefaction effect, Reynolds equation with Burgdorfer 1st-order slip velocity boundary in the lubrication of micro fixed-tilting pad gas-lubricated bearing was derived. The modified Reynolds equation was solved by the differential transformation method coupled with the finite difference method, and then the nonlinear gas film forces of single pad were calculated. Based on the assembly method, the gas film forces of the micro fixed-tilting pad gas-lubricated bearing were obtained. For a rigid rotor system supported by micro fixed-tilting pad gas-lubricated bearings, the unbalanced responses of the rotor were investigated by the orbit diagram, the Poincaré map diagram and the time series diagram. In addition, the comparisons of influences of Knudsen number and rotational speed on the nonlinear dynamic characteristics of the rotor were made. The results show that the gas rarefaction effect has a great influence on the orbits of the center of the rotor. And the unbalance responses of the rotor system characterized as period-1, period-3, period-4 motions.

关 键 词：微气体轴承 固定瓦-可倾瓦 转子系统 非线性 

分 类 号：TH113[机械工程—机械设计及理论]