固定瓦-可倾瓦微气体轴承-转子系统的非线性运动分析

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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。

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	张永芳1
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	吕烨迪1
	2
	肖良君1
	2
	赵晶群1
	2
	刘成1
	2

关键词 ：微气体轴承, 固定瓦-可倾瓦, 转子系统, 非线性

Abstract：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.

Key words： micro gas-lubricated bearing fixed-tilting pad rotor system nonlinear

收稿日期: 2016-01-30 出版日期: 2017-05-25

引用本文:

张永芳1,2,吕烨迪1,2, 肖良君1,2, 赵晶群1,2, 刘成1,2. 固定瓦-可倾瓦微气体轴承-转子系统的非线性运动分析[J]. 振动与冲击, 2017, 36(11): 65-72.
ZHANG Yong-fang1,2, Lü Ye-di1,2, XIAO Liang-jun1,2, ZHAO Jing-qun1,2, LIU Cheng1,2. Nonlinear dynamic analysis of a rotor system supported by micro fixed-tilting pad gas-lubricated bearings. JOURNAL OF VIBRATION AND SHOCK, 2017, 36(11): 65-72.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2017/V36/I11/65

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