Volume 37 Issue 4
Apr.  2022
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WEI Daitong, CHEN Xing, CHEN Yugang, LI Hongkun. Reduced order method of blade rubbing system based on proper orthogonal decomposition[J]. Journal of Aerospace Power, 2022, 37(4): 711-720. doi: 10.13224/j.cnki.jasp.20210180
Citation: WEI Daitong, CHEN Xing, CHEN Yugang, LI Hongkun. Reduced order method of blade rubbing system based on proper orthogonal decomposition[J]. Journal of Aerospace Power, 2022, 37(4): 711-720. doi: 10.13224/j.cnki.jasp.20210180

Reduced order method of blade rubbing system based on proper orthogonal decomposition

doi: 10.13224/j.cnki.jasp.20210180
  • Received Date: 2021-04-20
  • Publish Date: 2022-04-28
  • In view of the problem of blade rubbing response,a proper orthogonal decomposition method was proposed to reduce the dynamic order of the system.The projection space was generated by the proper orthogonal decomposition of the snapshot matrix,the system dynamic equation was projected into the subspace for model reduction,and the rubbing response was solved in combination with the numerical integration method.Based on the reduced order model,the blade rub impact response under different speed and penetration parameters was analyzed and compared with the full order model.The results showed that the time-domain response deviation of the reduced order model was less than 5%,and the computational efficiency of the reduced order model was improved by 98.4%.The robustness of the reduced order model was verified by changing the blade speed and penetration.With the increase of rotational speed and penetration,it was found that the energy of the proper orthogonal modes transferred between the lower order and the higher order,and presented different transfer laws.There was a certain relationship between the modal energy transfer caused by the rotational speed and the natural frequency of the structure.The method and conclusion can provide a basis for blade rub impact analysis and fault diagnosis.

     

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  • [1]
    韩金昌,左彦飞,冯坤.周期性碰摩激励作用下薄壁机匣支撑系统响应机理[J].航空动力学报,2021,36(1):167-175.
    [2]
    高志坤,胡霖,张开阔,等.某高压压气机第4级转子叶片断裂分析[J].航空发动机,2019,45(6):85-89.
    [3]
    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.
    [4]
    PRABITH K,KRISHNA I R P.The numerical modeling of rotor-stator rubbing in rotating machinery:a comprehensive review[J].Nonlinear Dynamics,2020,101(2):1317-1363.
    [5]
    WANG H F,CHEN G.Simulation analysis of casing vibration response and its verification under blade-casing rubbing fault[J].Journal of Vibration and Acoustics,2016,138(3):1-14.
    [6]
    赵洋,华一雄,张执南,等.基于Hertz接触理论的叶片-机匣碰摩模型[J].上海交通大学学报,2019,53(6):660-664.
    [7]
    陈果,王海飞,刘永泉,等.新型叶片-机匣碰摩模型及其验证[J].航空动力学报,2015,30(4):952-965.
    [8]
    郭旭民,孙祺,马辉,等.旋转叶片-柔性机匣碰摩振动响应分析[J].振动与冲击,2019,38(5):162-167.
    [9]
    马辉,王迪,太兴宇,等.碰摩作用下盘片榫连结构接触特性的响应分析[J].航空动力学报,2015,30(9):2203-2210.
    [10]
    马辉,孙祺,太兴宇,等.旋转叶片-机匣碰摩振动响应分析[J].振动与冲击,2017,36(14):26-32.
    [11]
    马辉,吴志渊,太兴宇,等.含碰摩故障的转子-盘片-机匣系统动力学特性分析[J].航空动力学报,2015,30(8):1950-1957.
    [12]
    太兴宇,马辉,谭祯,等.叶片-机匣系统碰摩振动响应分析[J].振动、测试与诊断,2014,34(2):280-397.
    [13]
    SUN Q,MA H,ZHU Y P,et al.Comparison of rubbing induced vibration responses using varying-thickness-twisted shell and solid-element blade models[J].Mechanical Systems and Signal Processing,2018,108(3):1-20.
    [14]
    MA H,WANG D,TAI X Y,et al.Vibration response analysis of blade-disk dovetail structure under blade tip rubbing condition[J].Journal of Vibration and Control,2016,23(2):252-271.
    [15]
    MA H,YIN F L,TAI X Y,et al.Vibration response analysis caused by rubbing between rotating blade and casing[J].Journal of Mechanical Science and Technology,2016,30(5):1983-1995.
    [16]
    张俊红,王杰,鲁鑫,等.考虑封严涂层的航空发动机叶片碰摩过程[J].浙江大学学报(工学版),2018,52(5):980-987.
    [17]
    AGRAPART Q,NYSSEN F,LAVAZEC D,et al.Multi-physics numerical simulation of an experimentally predicted rubbing event in aircraft engines[J].Journal of Sound and Vibration,2019,460(2):114869.1-114869.93.
    [18]
    DING K Y,WANG Z,LU X,et al.Vibration investigation of rotor system with unbalance and blade-casing rubbing coupling faults[J].Journal of Vibroengineering,2020,22(2):353-365.
    [19]
    KAMMER A S,OLGAC N.Blade/casing rub interaction in turbomachinery:structural parameters' influence on stability[J].Journal of Propulsion and Power,2016,32(4):929-938.
    [20]
    XIAO J G Y,CHEN Y,TIAN J,et al.Numerical investigation of rub-induced composite fan blade vibrations and abradable coating removals[J].Composite Structures,2019,226(5):111274.1-111274.15.
    [21]
    YANG Y,CHEN G,OUYANG H J,et al.Nonlinear vibration mitigation of a rotor-casing system subjected to imbalance-looseness-rub coupled fault[J].International Journal of Non-Linear Mechanics,2020,122(4):1-16.
    [22]
    YANG Y,OUYANG H J,WU X L,et al.Bending-torsional coupled vibration of a rotor-bearing-system due to blade-casing rub in presence of non-uniform initial gap[J].Mechanism and Machine Theory,2019,140(3):170-193.
    [23]
    YU M Y,FENG Z G,HUANG J J,et al.A new characteristic analysis method for aero-engine rotor-stator rubbing[J].Journal of Aerospace Engineering,2017,232(6):1120-1133.
    [24]
    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(6):105164.1-105164.33.
    [25]
    ZHANG J H,LU X,LIN J W,et al.Dynamic characteristics analysis of blade-casing rubbing faults with abradable coatings[J].Journal of Mechanical Engineering Science,2020,235(6):203-210.
    [26]
    邓子辰,范小弄,赵玉立.基于Karhunnen-Loève展开的柔性梁撞击系统的降阶方法[J].动力学与控制学报,2005,3(1):24-27.
    [27]
    RITTO T G,BUEZAS F S,SAMPAIO R.A new measure of efficiency for model reduction:Application to a vibroimpact system[J].Journal of Sound and Vibration,2011,330(9):1977-1984.
    [28]
    于海,陈予恕,曹庆杰.多自由度裂纹转子系统非线性动力学特性分析[J].振动与冲击,2014,3(7):92-98.
    [29]
    于海,陈予恕,曹庆杰.多自由度碰摩转子系统非线性动力学特性分析[J].哈尔滨商业大学(自然科学版),2014,30(1):75-79.
    [30]
    LU K,CHEN Y S.Dynamic behaviors analysis of reduced rotor models with looseness based on the tpod method[J].Journal of Harbin Institute of Technology,2018,25(4):15-30.
    [31]
    LU K,WU N,ZHANG K Y,et al.Dynamical behaviors analysis of the rotor model with coupling faults and applications of the TPOD method[J].Applied Sciences,2020,10(21):7415.1-7415.25.
    [32]
    AZEEZ M F A,VAKAKIS A F.Proper orthogonal decomposition (pod) of a class of vibroimpact oscillations[J].Journal of Sound and Vibration,2001,240(5):859-889.
    [33]
    王新敏.ANSYS结构动力分析与应用[M].北京:人民交通出版社,2014.
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