Alford力和磁悬浮轴承对转子系统动力学特性的影响

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摘要以磁悬浮轴承支承的航空发动机高压模拟转子为对象，研究了在压气机叶尖气流激振力和磁悬浮轴承电磁力共同作用下的转子系统动力学特性。采用Timoshenko梁理论建立了模拟转子的有限元模型，在模型中引入由PID方法控制的差动磁悬浮轴承电磁力以及由Alford力表示的压气机叶尖气流激振力，利用Newmark-β法求解了转子系统的动力学响应。计算结果表明，在非线性Alford力和磁轴承电磁力共同作用下，转子系统表现出了较复杂的动力学特征；磁悬浮轴承的控制参数对转子系统特性有较大影响，不同取值可能导致转子出现单周期、多周期拟周期甚至失稳等不同动力学行为；因此，对由磁悬浮轴承支承并含轴流压气机的转子，需考虑叶尖气流激振力与电磁轴承力的相互影响进而确定轴承控制参数。

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	王小虎
	鄢光荣
	胡瑶尧
	唐瑞

关键词 ：磁悬浮轴承, Alford力, 非线性, 转子动力学

Abstract：The dynamic characteristics of a rotor system incorporating flow induced Alford forces and electromagnetic forces of active magnetic bearings (AMBs) were studied, based on a simplified model high-pressure rotor of an aero engine supported by AMBs.The Timoshenko beam theory and a finite element method were utilized to model the rotor.Electromagnetic forces of the AMBs controlled by differential PID methods and flow induced Alford forces at the tip of the compressor vanes were introduced, before the dynamic responses of the rotor system were calculated through the Newmark-β method.The results reveal complex dynamic behaviors of the rotor system simultaneously excited by the nonlinear Alford forces and bearing electromagnetic forces.Control parameters of the AMBs show remarkable influences on the rotor system dynamics, by changing it into period 1, multi-period and quasi-period motions with different values.Therefore, for rotors supported by AMBs and with axial compressors, effects of the flow induced Alford forces and electromagnetic forces need to be considered before determining control parameters.

Key words： active magnetic bearing Alford force nonlinear rotor dynamics

收稿日期: 2018-11-27 出版日期: 2020-04-15

引用本文:

王小虎，鄢光荣，胡瑶尧，唐瑞. Alford力和磁悬浮轴承对转子系统动力学特性的影响[J]. 振动与冲击, 2020, 39(8): 222-229.
WANG Xiaohu, YAN Guangrong, HU Yaoyao, TANG Rui. The influence of Alford force and active magnetic bearing on the dynamic behavior of a rotor system. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(8): 222-229.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2020/V39/I8/222

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