摘要航空发动机转子系统通常在支承处设置挤压油膜阻尼器（Squeeze film damper, SFD）来实现系统减振设计，与定心SFD相比，非定心SFD结构简单紧凑，减振效果良好，但是具有更强的非线性特征，动力特性更为复杂。本文以某航空发动机动力涡轮转子为研究对象，建立了多支点高速柔性转子-非定心SFD系统非线性动力学模型，考虑了非定心SFD静偏心的影响，采用数值方法求解转子系统响应，结合系统不平衡响应特征、分岔图、庞家莱截面、频谱等，开展了系统非线性动力学特性研究，并通过了转子试验验证。研究结果表明，非定心SFD油膜间隙较大时，转子系统存在较强的非线性运动，频率成分丰富，减小油膜间隙能够使系统在跨临界后为单周期运动，降低系统的非线性不平衡响应；但过小的油膜间隙将导致转子系统峰值响应和对应的转速显著增大，转子可工作转速范围变小，合理的油膜间隙可以兼顾非线性振动响应和峰值转速较小，实现转子系统在大转速范围内长时间运行。
Abstract：Aeroengine rotor systems usually install squeeze film dampers (Squeeze film damper, SFD) at their supports to reduce the vibration, compared with centralized SFD, the structure of uncentralized SFD is simpler and more compact, and its damping effect is better, but there are stronger nonlinear features, the dynamic characteristics are more complicated. In this paper, it took an engine power turbine rotor as the research object, established the nonlinear dynamic model of multi-fulcrum high speed flexible rotor-uncentralized SFD system, considered the influence of uncentralized SFD’s static eccentricity, used numerical method to solve the response of this rotor system. Combining the unbalanced response, bifurcation diagrams, Poincaré sections, frequency spectrums, etc., we researched the nonlinear dynamic characteristics of the rotor-SFD system, and verified the consistency of the simulation model and the test phenomenon by analog rotor experiment. The research results showed that, if the gap of the uncentralized SFD oil film is too large, there will be strong nonlinear motion, and the system’s frequency components became richer, reducing the gap of the oil film could make the system do single periodic motion and reduce the unbalanced response after it crossed critical speed; but if the gap of the uncentralized SFD oil film is too small, the rotor system will have greater peak value of the response,and the speed corresponding to the peak value will be larger; its working speed range would be smaller; so a reasonable oil film gap can take into account the nonlinear vibration response and peak speed to be small, make the rotor system work in a large speed range for a long time.
卢愈，唐振寰，成晓鸣，邓婷. 高速柔性转子-非定心SFD系统响应特征分析与试验验证[J]. 振动与冲击, 2023, 42(17): 114-119.
LU Yu, TANG Zhenhuan, CHENG Xiaoming, DENG Ting. Analysis and test verification for response characteristics of high-speed flexible rotor-non centered SFD system. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(17): 114-119.
[1] ANDRES L S, DEN S, JEUNG S-H. Transient response of a short-length ( ) open-ends elastically supported squeeze film damper: Centered and largely off-centered whirl motions[J]. Journal of Engineering for Gas Turbines and Power, 2016, 138(12): 122503-1-11.
[2] 祝长生, 毛川, 李鹏飞. 同心与非同心型挤压油膜阻尼器减振能力的实验比较[J]. 航空动力学报, 2017, 32(11): 2672-2679.
ZHU Changsheng, MAO Chuan, LI Pengfei. Experimental comparison of vibration isolation ability of centralized and uncentralized squeeze film damper[J]. Journal of Aerospace Power, 2017, 32(11): 2672-2679.
[3] ZHAO J Y, LINNETT I W, MCLEAN L J. Stability and bifurcation of unbalanced response of a squeeze film damped flexible rotor[J]. Journal of Tribology, 1994, 116(2): 361-368.
[4] EL-SHAFEI A. Active control algorithms for the control of rotor vibrations using hybrid squeeze film dampers[J]. Journal of Engineering for Gas Turbines and Power, 2002, 124(3): 598-607.
[5] DOUSTI S, GERAMI A, DOUSTI M A. Numerical CFD analysis on supply groove effects in high pressure, open end squeeze film dampers[J]. International Journal of Engineering Innovation and Research, 2016, 5(1): 80-89.
[6] 周海仑, 张明, 成晓鸣, 等. 供油条件对挤压油膜阻尼器等效阻及周向位置阻尼的影响[J]. 机械工程学报, 2018, 54(6): 215-223.
ZHOU Hailun, ZHANG Ming, Cheng Xiaoming, et al. Effects of Oil Supply Conditions on Equivalent Damping and Circumferential Position Damping of Squeeze Film Damper[J]. Journal of Mechanical Engineering, 2018, 54(6): 215-223.
[7] 赵项伟, 罗贵火, 王飞. 静偏心对挤压油膜阻尼器减振特性影响的数值分析[J]. 航空发动机, 2018, 44(3): 42-48.
ZHAO Xiangwei, LUO Guihuo, WANG Fei. Numerical Analysis of Static Eccentricity on Vibration Characteristics of Squeeze Film Damper[J]. Aeroengine, 2018, 44(3): 42-48.
[8] 刘展翅, 廖明夫, 丛佩红, 等. 静偏心对挤压油膜阻尼器减振特性影响实验研究[J]. 推进技术, 2016, 37(8): 1560-1568.
LIU Zhanchi, LIAO Mingfu, CONG Peihong, et al. Experimental Investigation for Effects of Static Eccentricity on Vibration Attenuating Characteristics of Squeeze Film Damper[J]. Journal of Propulsion Technology, 2016, 37(8): 1560-1568.
[9] 徐伟文, 张大海, 王平, 等. 转子挤压油膜阻尼器静偏心对减振效果的影响[J]. 振动与冲击, 2021, 40(21): 55-61.
XU Weiwen, ZHang Dahai, Wang Ping, et al. Effects of Static Eccentricity of Squeeze Film Damper on Vibration Reduction Effect of Rotor System[J]. Journal of Vibiation and Shock, 2018, 4(4): 84-86.
[10] 刘扬, 石拓, 辛喜成, 等. 转子挤压油膜阻尼器减振效率的理论研究[J]. 机械工程学报, 2019, 55(3): 90-98.
LIU Yang, SHI Tuo, XIN Xicheng, et al. Theoretical Study on the Damping Efficiency of Squeeze Film Damper on Rotor[J]. Journal of Mechanical Engineering, 2019, 55(3): 90-98.
[11] 唐振寰, 米栋, 卢愈, 等. 轴承共腔-双转子系统耦合振动特性研究[J]. 推进技术, 2022, 43(2): 210566.
TANG Zhenhuan, MI Dong, LU Yu, et al. Coupling Vibration Characteristics for Shared Bearing Bore-Coaxial Rotor System[J]. Journal of Propulsion Technology, 2022, 43(2): 210566.
[12] 杨喜关, 罗贵火, 唐振寰, 等. 高维反向旋转双转子系统的建模方法及动力特性[J]. 航空动力学报, 2014, 29(03): 585-595.
YANG Xiguan, LUO Guihuo, TANG Zhenhuan, et al. Modeling Method and Dynamic Characteristics of High-dimensional Counter-rotating Dual Rotor System[J]. Journal of Aerospace Power, 2014, 29(03): 585-595.
[13] CHIANG H W D, HSU C N, TU S H. Rotor-bearing analysis for turbo machinery single and dual-rotor systems[J]. Journal of Propulsion and Power, 2004, 20(6): 1096-1104.
[14] 刘桂珍, 刘杨, 陈亚哲, 等. 转子-轴承系统油膜力特征的非线性动力学分析[J]. 中国工程机械学报, 2012, 10(2): 127-131.
LIU Guizhen, LIU Yang, CHEN Yazhe, et al. Nonlinear Dynamical Analysis on Oil-membrane Force Properties for Rotor-bearing Systems[J]. Chinese Journal of Construction Machinery, 2012, 10(2): 127-131.
[15] 韩清凯, 于涛, 王德友, 等. 故障转子系统的非线性振动分析与诊断方法[M]. 北京: 科学出版社, 2010.
HAN Qingkai, YU Tao, WANG Deyou, et al. Nonlinear Vibration Analysis and Diagnosis Methods of Fault Rotor System[M]. Beijing: Science Press, 2010.
[16] ZHANG W, XU X F. Modeling of nonlinear oil-film force acting on a journal with unsteady motion and nonlinear instability analysis under the model[J]. International Journal of Nonlinear Sciences and Numerical Simulation, 2000, 1(3): 179-186.
[17] DENG Xingqiao, ZHU Weibing, CHEN Yonghong, et al. Optimal design for an end face engagement worm gear with multiple worm-wheel meshing[J]. Chinese Journal of Mechanical Engineering, 2017, 30(2): 144-151.
[18] 刘杰, 李志农, 卢文秀. 非稳态油膜力对转子系统盘轴松动故障的影响研究[J]. 振动与冲击, 2019, 38(17): 268-275.
LIU Jie, LI Zhinong, LU Wenxiu. Effect of Unsteady Oil Film Force on the Rotors with Loose Disc[J]. Journal of Vibiation and Shock, 2019, 38(17): 268-275.
