Dynamic characteristics of active elastic support dry friction dampers-three support flexible rotor system
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摘要:
研究了主控式弹支干摩擦阻尼器(active elastic support dry friction dampers, AESDFDs)-三支承柔性转子(three support flexible rotor, TSFR)系统的动力学特性。首先建立了AESDFDs-TSFR系统的动力学模型,然后求解了不同摩擦副正压力条件下AESDFDs-TSFR系统的匀加速不平衡响应,讨论了临界转速区使用开关控制的减振效果。最后在搭建的AESDFDs-TSFR系统动力学特性试验台上测量了不同摩擦副正压力情况下转子在加速通过1阶、2阶临界转速区的不平衡响应,分析了不同摩擦副正压力条件下涡轮盘和风扇盘振动幅值的变化。理论与试验结果验证了AESDFD能够有效降低TSFR系统在不平衡激励下的振动。临界转速区使用不同位置的AESDFD对TSFR的振动进行开关控制,涡轮盘和风扇盘的振动被有效抑制,1阶和2阶临界转速区间盘处振幅最大降低98.6%和98.9%。结论为AESDFDs-TSFR系统振动控制策略的确定提供了理论基础。
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关键词:
- 主控式弹支干摩擦阻尼器(AESDFD) /
- 三支承柔性转子(TSFR) /
- 振动响应 /
- 试验验证 /
- 动力学特性
Abstract:Dynamic characteristics of active elastic support dry friction dampers (AESDFDs)-three support flexible rotor (TSFR) were studied. First, the dynamic model of AESDFDs-TSFR was established. Then the steady state acceleration response of rotor system was obtained under different normal loads. The vibration reduction effect of switch control method within critical speed region was discussed. Experimental rig for AESDFDs-TSFR was set up. The unbalance responses of TSFR passing the first-second critical speed regions were measured and analyzed. The variations of the vibration amplitude of the turbine disk and the fan disk were analyzed under different normal loads. Experimental results were compared with simulation ones, showing that vibration could be suppressed by the AESDFDs under unbalance excitation. Each AESDFD had damping effect on the turbine disk and the fan disk by using switch control method within critical speed region, and the maximum vibration reduction ratio at disks reached 98.6% and 98.9%, respectively. The results could provide a theoretical guide for vibration control strategy design on the AESDFDs-TSFR system.
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表 1 AESDFDs-TSFR系统参数
Table 1. Parameters of AESDFDs-TSFR
参数 数值 转子质量M/kg 51 转子长度l/m 1.2 1号弹支刚度K1/106 (N/m) 1.25 2号弹支刚度K2/106 (N/m) 3 3号弹支刚度K3/106 (N/m) 2 涡轮盘质量 mt/kg 21.4 风扇盘质量mc/kg 18.8 涡轮盘附加不平衡量 me/(g·cm) 20 摩擦片摩擦因数μ 0.3 摩擦副切向刚度Kt/107 (N/m) 2 1阶临界转速/(r/min) 1857 2阶临界转速/(r/min) 2345 表 2 开关控制仿真使用的摩擦副正压力值
Table 2. Simulated normal force of AESDFD when using switch control strategy
N 位置 不控制 1号AESDFD 2号AESDFD 1号和2号AESDFD 风扇盘 0 60 60 30 涡轮盘 0 30 90 30 表 3 开关控制试验使用的摩擦副正压力值
Table 3. Experimental normal force of AESDFD when using switch control strategy
N 位置 不控制 1号AESDFD 2号AESDFD 1号和2号AESDFD 风扇盘 0 90 120 30 涡轮盘 0 30 90 30 -
[1] 刘永泉, 洪杰, 马艳红. 航空燃气涡轮发动机振动抑制容差设计[M]. 北京: 北京航空航天大学出版社, 2020. LIU Yongquan, HONG Jie, MA Yanhong. Design of vibration suppression tolerance for air gas turbine engine[M]. Beijing: Beijing University of Aeronautics and Astronautics Press, 2020. (in ChineseLIU Yongquan, HONG Jie, MA Yanhong. Design of vibration suppression tolerance for air gas turbine engine[M]. Beijing: Beijing University of Aeronautics and Astronautics Press, 2020. (in Chinese) [2] 洪杰, 于欢, 肖森, 等. 高速柔性转子系统非线性振动响应特征分析[J]. 北京航空航天大学学报, 2018, 44(4): 653-661. HONG Jie, YU Huan, XIAO Sen, et al. Nonlinear vibration response characteristics of high-speed flexible rotor system[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(4): 653-661. (in ChineseHONG Jie, YU Huan, XIAO Sen, et al. Nonlinear vibration response characteristics of high-speed flexible rotor system[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(4): 653-661. (in Chinese) [3] 中国航空动力机械研究所, 中国航空综合技术研究所. 航空发动机弹性支承器设计要求: HB 20060—2011[S]. 北京: 国家国防科技工业局, 2011: 1-13. China Aero-Engine Development Research Institute, China Aero Polytechnical Establishment. Damper design requirement of aero engine: HB 20060—2011[S]. Beijing: State Administration of Science, Technology and Industry for National Defence, 2011: 1-13. (in ChineseChina Aero-Engine Development Research Institute, China Aero Polytechnical Establishment. Damper design requirement of aero engine: HB 20060—2011[S]. Beijing: State Administration of Science, Technology and Industry for National Defence, 2011: 1-13. (in Chinese) [4] SORGE F, CAMMALLERI M. Control of hysteretic instability in rotating machinery by elastic suspension systems subject to dry and viscous friction[J]. Journal of Sound and Vibration, 2010, 329(10): 1686-1701. doi: 10.1016/j.jsv.2009.12.007 [5] SORGE F. Damping of rotor conical whirl by asymmetric dry friction suspension[J]. Journal of Sound and Vibration, 2009, 321(1/2): 79-103. [6] 范天宇, 廖明夫, 王俨剀. 弹性支承干摩擦阻尼器减振试验研究[J]. 机械科学与技术, 2005, 24(9): 1062-1065. FAN Tianyu, LIAO Mingfu, WANG Yankai. Experimental investigation of the dry friction damper with elastic support[J]. Mechanical Science and Technology for Aerospace Engineering, 2005, 24(9): 1062-1065. (in ChineseFAN Tianyu, LIAO Mingfu, WANG Yankai. Experimental investigation of the dry friction damper with elastic support[J]. Mechanical Science and Technology for Aerospace Engineering, 2005, 24(9): 1062-1065. (in Chinese) [7] 王四季, 廖明夫, 杨伸记. 主动式弹支干摩擦阻尼器控制转子振动的试验[J]. 航空动力学报, 2007, 22(11): 1893-1897. WANG Siji, LIAO Mingfu, YANG Shenji. Experimental investigation on rotor vibration control by elastic support/dry friction damper[J]. Journal of Aerospace Power, 2007, 22(11): 1893-1897. (in ChineseWANG Siji, LIAO Mingfu, YANG Shenji. Experimental investigation on rotor vibration control by elastic support/dry friction damper[J]. Journal of Aerospace Power, 2007, 22(11): 1893-1897. (in Chinese) [8] 宋明波, 谭大力, 廖明夫. 压电陶瓷弹性支承干摩擦阻尼器减振试验[J]. 航空动力学报, 2013, 28(10): 2223-2227. SONG Mingbo, TAN Dali, LIAO Mingfu. Experiment on vibration reduction by elastic support/dry friction damper with piezoelectric ceramic[J]. Journal of Aerospace Power, 2013, 28(10): 2223-2227. (in ChineseSONG Mingbo, TAN Dali, LIAO Mingfu. Experiment on vibration reduction by elastic support/dry friction damper with piezoelectric ceramic[J]. Journal of Aerospace Power, 2013, 28(10): 2223-2227. (in Chinese) [9] LIAO Mingfu, SONG Mingbo, WANG Siji. Active elastic support/dry friction damper with piezoelectric ceramic actuator[J]. Shock and Vibration, 2014, 2014: 712426. [10] 宋明波. 弹支干摩擦阻尼器与转子匹配的动力学设计方法研究[D]. 西安: 西北工业大学, 2016. SONG Mingbo. Study on dynamic design method of matching between elastic-supported dry friction damper and rotor[D]. Xi’an: Northwestern Polytechnical University, 2016. (in ChineseSONG Mingbo. Study on dynamic design method of matching between elastic-supported dry friction damper and rotor[D]. Xi’an: Northwestern Polytechnical University, 2016. (in Chinese) [11] LIAO Mingfu, LI Yan, SONG Mingbo, et al. Dynamics modeling and numerical analysis of rotor with elastic support/dry friction dampers[J]. Transactions of Nanjing University of Aeronautics and Astronautics, 2018, 35(1): 69-83. [12] 宋明波, 廖明夫, 王四季. 折返式可控弹支干摩擦阻尼器设计及减振试验研究[J]. 振动与冲击, 2019, 38(14): 18-22. SONG Mingbo, LIAO Mingfu, WANG Siji. Experimental investigation on the vibration reduction performance of a damper with C-shape tunable elastic support and dry friction[J]. Journal of Vibration and Shock, 2019, 38(14): 18-22. (in ChineseSONG Mingbo, LIAO Mingfu, WANG Siji. Experimental investigation on the vibration reduction performance of a damper with C-shape tunable elastic support and dry friction[J]. Journal of Vibration and Shock, 2019, 38(14): 18-22. (in Chinese) [13] 祝长生, 巩磊. 一种旋转机械转子支承结构的电磁自平衡弹性支承干摩擦阻尼器: CN110671464A[P]. 2020-01-10. [14] 王四季, 王程阳, 林大方, 等. 主控式弹支干摩擦阻尼器一体化构型设计及减振试验研究[J]. 推进技术, 2023, 44(8): 2203011. WANG Siji, WANG Chengyang, LIN Dafang, et al. Integrated configuration design and experimental research on vibration reduction of an active elastic support/dry friction damper[J]. Journal of Propulsion Technology, 2023, 44(8): 2203011. (in ChineseWANG Siji, WANG Chengyang, LIN Dafang, et al. Integrated configuration design and experimental research on vibration reduction of an active elastic support/dry friction damper[J]. Journal of Propulsion Technology, 2023, 44(8): 2203011. (in Chinese) [15] FEENY B, GURAN A, HINRICHS N, et al. A historical review on dry friction and stick-slip phenomena[J]. Applied Mechanics Reviews, 1998, 51(5): 321-341. doi: 10.1115/1.3099008 [16] MENQ C H, CHIDAMPARAM P, GRIFFIN J H. Friction damping of two-dimensional motion and its application in vibration control[J]. Journal of Sound and Vibration, 1991, 144(3): 427-447. doi: 10.1016/0022-460X(91)90562-X [17] LIU Di, ZHOU Liang, ZHANG Dayi, et al. A strategy of vibration control for rotors with dry friction dampers[J]. Journal of Vibration and Control, 2023, 29(13/14): 2907-2920. [18] WANG Dan, SONG Liyao, CAO Peng, et al. Nonlinear dynamics of asymmetrically supported supercritical rotor equipped with a dry friction damper[J]. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2023, 237(13): 2954-2968. doi: 10.1177/09544062221145517 [19] SANLITURK K Y, EWINS D J. Modelling two-dimensional friction contact and its application using harmonic balance method[J]. Journal of Sound and Vibration, 1996, 193(2): 511-523. doi: 10.1006/jsvi.1996.0299 [20] 廖明夫. 航空发动机转子动力学[M]. 西安: 西北工业大学出版社, 2015. LIAO Mingfu. Rotor dynamics of aero-engine[M]. Xi’an: Northwestern Polytechnical University Press, 2015. (in ChineseLIAO Mingfu. Rotor dynamics of aero-engine[M]. Xi’an: Northwestern Polytechnical University Press, 2015. (in Chinese) [21] 蒋明宏, 祝长生. 干摩擦阻尼器转子系统无模型自适应振动控制[J]. 振动工程学报, 2024, 37(12): 2114-2123. JIANG Minghong, ZHU Changsheng. Model-free adaptive vibration control of rotor system with dry friction damper[J]. Journal of Vibration Engineering, 2024, 37(12): 2114-2123. (in ChineseJIANG Minghong, ZHU Changsheng. Model-free adaptive vibration control of rotor system with dry friction damper[J]. Journal of Vibration Engineering, 2024, 37(12): 2114-2123. (in Chinese) [22] AFZAL M, LOPEZ A I, KARI L. An analytical calculation of the Jacobian matrix for 3D friction contact model applied to turbine blade shroud contact[J]. Computers & Structures, 2016, 177: 204-217. -

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