Blade-casing rubbing have very important effect on the performance, reliability and safety of the aero-engine. A dynamic model of the dual rotor-bearing system of the aero-engine is established based on the Finite Element Method (FEM) by taking into account blade-casing rubbing, misalignment and nonlinearities of the rolling element bearings. The Component Mode Synthesis (CMS) method is applied to reduce the high-degrees of freedom of the dynamic model, and the nonlinear vibration responses of the reduced order model are analyzed by the numerical method to reveal the features of blade-casing rubbing. The results of simulation and experiment show that the dual rotor-bearing system of the aero-engine is a multi-excitation nonlinear system, which presents complex frequency components for the vibration response, such as the rotation frequencies, multiple frequency components and combined frequencies of the high-pressure rotor and low-pressure rotor. For a wide blade-tip clearance, the blade-casing rubbing may be local rub-impact, where the fault feature frequency is manifested as the pass frequency of the blade and the corresponding doubling frequency, and there are a cluster of side bands on feature frequencies which are modulated by rotating frequencies of the dual rotor. For a small blade-tip clearance, the blade-casing rubbing may be full annular rub-impact, where a strong self-excited vibration is induced by dry friction. The results can provide references to fault diagnosis of blade-casing rubbing and blade-tip clearance design for the dual rotor system of aero-engine.
[1] 张宏献, 李学军, 蒋玲莉, 等. 航空发动机双转子系统不对中研究进展[J]. 航空学报, 2019, 40(6):022717. ZHANG H X, LI X J, JIANG L L, et al. A review of misalignment of aero-engine rotor system[J]. Acta Aeronautica et Astronautica Sinica, 2019, 40(6):022717(in Chinese).
[2] AHMAD S. Rotor casing contact phenomenon in rotor dynamics:Litterature survey[J]. Journal Vibration Control, 2010, 16(9):1369-1377.
[3] GEORGES J R, MOHAMED T, PATRICE C, et al. Rotor to stator contacts in turbomachines. Review and application[J]. Mechanical Systems and Signal Processing, 2013, 40(2):401-420.
[4] 李勇, 姜广义, 王德友, 等. 转静件碰摩状态下的叶片振动载荷和振动特性测试分析[J]. 航空动力学报, 2008, 23(11):1988-1992. LI Y, JIANG G Y, WANG D Y, et al. Test analysis of blades vibration load and vibration characteristics on the condition of rotor and stator rubbing[J]. Journal of Aerospace Power, 2008, 23(11):1988-1992(in Chinese).
[5] 马辉, 太兴宇, 李焕军, 等. 旋转叶片-机匣碰摩模型及试验研究综述[J]. 航空动力学报, 2013, 28(9):2055-2069. MA H, TAI X Y, LI H J, et al. Literature survey of rub-impact model and experiment of rotating blade and casing[J]. Journal of Aerospace Power, 2013, 28(9):2055-2069(in Chinese).
[6] MA H, YIN F L, GUO Y Z, et al. A review on dynamic characteristics of blade-casing rubbing[J]. Nonlinear Dynamics, 2015, 84(2):437-472.
[7] 杨洋. 碰撞接触力模型研究及其在转子-机匣系统中的应用[D]. 哈尔滨:哈尔滨工业大学, 2016. YANG Y. Investigation of rub-impact force model and its applications in rotor-casing system[D]. Harbin:Harbin Institute of Technology, 2106(in Chinese).
[8] CHEN G. Simulation of casing vibration resulting from blade-casing rubbing and its verifications[J]. Journal of Sound and Vibration, 2015, 361:190-209.
[9] WANG C, ZHANG D Y, MA Y H, et al. Theoretical and experimental investigation on the sudden unbalance and rub-impact in rotor system caused by blade off[J]. Mechanical Systems and Signal Processing, 2016, 76-77:111-135.
[10] 陈雪峰, 王诗彬, 程礼. 航空发动机快变信号的匹配同步压缩变换研究[J]. 机械工程学报, 2019, 55(13):13-22. CHEN X F, WANG S B, CHENG L. Matching Synchrosqueezing Transform for Aero-engine's Signals with Fast Varying Instantaneous Frequency[J]. Journal of Mechanical Engineering, 2019, 55(13):13-22(in Chinese).
[11] 王四季, 廖明夫, 蒋云帆, 等. 对转双转子局部碰摩故障实验[J]. 推进技术, 2013, 34(1):31-36. WANG S J, LIAO M F, JIANG Y F, et al. Experimental Study on local rub-impact fault of counter-rotating dual-rotor[J]. Journal of Propulsion Technology, 2013, 34(1):31-36(in Chinese).
[12] 陈松霆, 吴志强. 反向旋转双转子碰摩振动分析[J]. 振动与冲击,2012,31(23):142-147. CHEN S T, WU Z Q. Rubbing vibration analysis for a Counter-rotating dual-rotor system[J]. Journal of Vibration and Shock,2012,31(23):142-147(in Chinese).
[13] 罗贵火, 杨喜关, 王飞. 高维双转子系统的碰摩响应特性研究[J]. 振动工程学报, 2015, 28(1):100-107. LUO G H, YANG X G, WANG F. Research for response characteristics of rub-impact high-dimensional dual-rotor system[J]. Journal of Vibration Engineering, 2015, 28(1):100-107(in Chinese).
[14] SUN C Z, CHEN Y S, HOU L. Nonlinear dynamical behaviors of a complicated dual-rotor aero-engine with rub-impact[J]. Archive of Applied Mechanics, 2018, 88(8):1305-1324.
[15] YU P C, ZHANG D Y, MA Y H, et al. Dynamic modeling and vibration characteristics analysis of the aero-engine dual-rotor system with Fan blade out[J]. Mechanical Systems and Signal Processing,2018, 106:158-175.
[16] 孙涛, 秦卫阳, 向欢. 发动机对转双转子系统碰摩非线性响应分析[J]. 机械强度, 2019, 41(2):255-259. SUN T, QIN W Y, XIANG H. Analysis on rub impact non-linear response of the counter-rotating dual-rotor system[J]. Journal of Mechanical Strength, 2019, 41(2):255-259(in Chinese).
[17] LEGRAND M, BATAILLY A, MAGNAIN B, et al. Full three dimensional investigation of structural contact interactions in turbomachines[J]. Journal of Sound and Vibration, 2012, 331(11):2578-2601.
[18] ZENG J, MA H, YU K, et al. Rubbing response comparisons between single blade and flexible ring using different rubbing force models[J]. International Journal of Mechanical Sciences, 2019, 164:105164.
[19] GUO X M, ZENG J, MA H, et al. A dynamic model for simulating rubbing between blade and flexible casing[J]. Journal of Sound and Vibration, 2020, 466:115036.
[20] CHEN G. Vibration modeling and verification for whole aero-engine[J]. Journal of Sound and Vibration, 2015, 349:163-176.
[21] WANG N F, JIANG D X. Vibration response characteristics of a dual-rotor with unbalance-misalignment coupling faults:Theoretical analysis and experimental study[J]. Mechanism and Machine Theory, 2018,125:207-219.
[22] PELETAN L, BAGUET S, TORKHANI M, et al. Quasi-periodic harmonic balance method for rubbing self-induced vibrations in rotor-stator dynamics[J]. Nonlinear Dynamics, 2014, 78:2501-2515.
CJA