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航空涡轴发动机复杂转子叶片系统动力学特性研究

金淼 王艾伦 王青山 尹伊君 衡星 张海彪

金淼, 王艾伦, 王青山, 等. 航空涡轴发动机复杂转子叶片系统动力学特性研究[J]. 航空动力学报, 2024, 39(10):20220739 doi: 10.13224/j.cnki.jasp.20220739
引用本文: 金淼, 王艾伦, 王青山, 等. 航空涡轴发动机复杂转子叶片系统动力学特性研究[J]. 航空动力学报, 2024, 39(10):20220739 doi: 10.13224/j.cnki.jasp.20220739
JIN Miao, WANG Ailun, WANG Qingshan, et al. Dynamic characteristics analysis of the complex rotor-blade system for the aero-turboshaft engine[J]. Journal of Aerospace Power, 2024, 39(10):20220739 doi: 10.13224/j.cnki.jasp.20220739
Citation: JIN Miao, WANG Ailun, WANG Qingshan, et al. Dynamic characteristics analysis of the complex rotor-blade system for the aero-turboshaft engine[J]. Journal of Aerospace Power, 2024, 39(10):20220739 doi: 10.13224/j.cnki.jasp.20220739

航空涡轴发动机复杂转子叶片系统动力学特性研究

doi: 10.13224/j.cnki.jasp.20220739
基金项目: 国家自然科学基金(52075554); 中南大学研究生创新项目(2019zzts256); 高性能复杂制造国家重点实验室资助项目(ZZYJKT2021-07); 东北大学航空动力装备振动及控制教育部重点实验室研究基金(VCAME202006)
详细信息
    作者简介:

    金淼(1989-),男,博士生,主要研究方向为航空发动机转子动力学,航空发动机整体设计,以及材料表面涂层设计。E-mail:jinmiao_mechanical@163.com.cn

    通讯作者:

    王青山(1989-),男,博士、博士生导师,副教授,主要研究方向为振动噪声分析与控制、转子动力学和现代隔振减振方法。E-mail:qingshanwang@csu.edu.cn

  • 中图分类号: V231.9;TH113.1

Dynamic characteristics analysis of the complex rotor-blade system for the aero-turboshaft engine

  • 摘要:

    基于赫兹接触理论与数理统计相结合的方法,构建了含有弹性、弹-塑性、完全塑性的三个变形过程在内的端齿等效接触动力学模型。针对航空涡轴转子系统复杂的结构特征,采用有限元和哈密顿变分原理建立了含有接触效应的端齿连接结构在内的航空发动机复杂转子-叶片耦合系统的动力学分析模型,并通过与有限元结果对比验证了模型的有效性。在此基础上,研究了不同预紧力作用下耦合系统的固有频率、稳态响应以及瞬态不平衡响应特性。研究结果表明预紧力对端齿连接结构的接触状态影响非常明显,在预紧松弛状态下,其连接界面滑移会引起有效接触界面的抗弯刚度和抗扭刚度的减少,从而引起端齿连接刚度下降,同时在耦合系统的轮盘处x方向,扭转振动与叶尖弯曲方向处的瞬态和稳态不平衡响应的幅值有明显放大现象,而当预紧力设计范围为2.0×104~2.0×105 N,此时端齿连接结构近似等效于刚性连接。本文研究结果可为含有端齿连接结构的航空涡轴发动机轴向预紧力的设计提供了定量的参考依据。

     

  • 图 1  含有端齿连接结构的航空涡轴发动机复杂转子-叶片耦合系统示意图(单位:mm)

    Figure 1.  Schematic diagram of the complex turboshaft engine rotor blade system considering the end-tooth connection (unit: mm)

    图 2  端齿示意图

    Figure 2.  Schematic diagram of the end-tooth connection

    图 3  端齿连接结构的接触面积和刚度转换

    Figure 3.  Contact area and stiffness transformation of end-tooth connection

    图 4  端齿连接结构的等效过程示意图(ANSYS模型)

    Figure 4.  Schematic diagram of equivalent progress of the end-tooth connection (ANSYS model)

    图 5  两种梁单元

    Figure 5.  Two type of beam elements

    图 6  双锥度旋转叶片示意图

    Figure 6.  Schematic diagram of the double taper blade

    图 7  变截面轮盘示意图

    Figure 7.  Schematic diagram of a variable-sectional rigid disk

    图 8  阶梯轴-中心拉杆耦合简化示意图

    Figure 8.  Schematic diagram of the coupling relationship between the central tie rod and stepped shaft.

    图 9  本文模型与ZMC模型的比较

    Figure 9.  Comparison of ZMC model with current model

    图 10  在预紧力160 kN作用下,航空涡轴发动机的耦合系统在Ω=0 r/min的振型图

    Figure 10.  Mode shapes from the coupling system for the turboshaft engine under F0=160 kN and Ω=0 r/m

    图 11  预紧力对耦合系统中含有弯曲固有频率的影响

    Figure 11.  Effects of the pre-tightening forces on the bending natural frequencies of the coupling system

    图 12  预紧力对耦合系统中含有扭转固有频率的影响

    Figure 12.  Effects of the pre-tightening forces on the torsional natural frequencies of the coupling system

    图 13  不同预紧力作用下,耦合系统的稳态不平衡响应(转速为3000 r/min)

    Figure 13.  Effects of the pre-tightening forces on the steady-state vibration (rotating speed of 3000 r/min)

    图 14  不同预紧力作用下,耦合系统的不平衡响应(转速为6000 r/min)

    Figure 14.  Effects of the pre-tightening forces on the steady-state vibration (rotating speed of 6000 r/min)

    图 15  不同预紧力作用下,耦合系统在升速过程的瞬态不平衡响应

    Figure 15.  Effects of the pre-tightening forces on the transient vibration

    表  1  在预紧力160 kN作用下,考虑端齿连接结构的耦合系统在Ω=0的固有频率

    Table  1.   Natural frequencies of the coupling system for the turboshaft engine under F0=160 kN and Ω=0

    阶数 固有频率/ Hz 误差/% 振型描述
    解析解 有限元解
    fn1) 93.02 92.06 0.26 1阶扭转
    f(n2) 103.38 103.63 0.06 轴的轴向振动
    f(n4) 173.21 171.08 0.31 平动与弯曲
    f(n5) 478.90 472.56 0.33 俯仰振动
    f(n7) 529.18 539.42 0.48 叶片与阶梯轴扭转
    耦合(耦合反向)
    f(n8) 546.63 557.87 0.51 叶片弯曲
    f(n15) 910.85 961.86 1.36 中心拉杆1阶弯曲
    f(n17) 1117.90 1123.70 0.13 2阶扭转
    f(n18) 1377.24 1364.80 0.23 转子1阶弯曲
    注:耦合同向表示两个轮盘上的叶片弯曲模态方向相同,反之亦然。
    下载: 导出CSV
  • [1] 邹望之,郑新前. 航空涡轴发动机发展趋势[J]. 航空动力学报,2019,34(12): 2577-2588. ZOU Wangzhi,ZHENG Xinqian. Development trends of aero turboshaft engines[J]. Journal of Aerospace Power,2019,34(12): 2577-2588. (in Chinese

    ZOU Wangzhi, ZHENG Xinqian. Development trends of aero turboshaft engines[J]. Journal of Aerospace Power, 2019, 34(12): 2577-2588. (in Chinese)
    [2] 张少锋,陈玉春,李夏鑫,等. 基于涡轴发动机性能与尺寸重量的耦合评估方法[J]. 推进技术,2018,39(12): 2670-2678. ZHANG Shaofeng,CHEN Yuchun,LI Xiaxin,et al. A coupling assessment method based on turboshaft engine performance and size-weight[J]. Journal of Propulsion Technology,2018,39(12): 2670-2678. (in Chinese

    ZHANG Shaofeng, CHEN Yuchun, LI Xiaxin, et al. A coupling assessment method based on turboshaft engine performance and size-weight[J]. Journal of Propulsion Technology, 2018, 39(12): 2670-2678. (in Chinese)
    [3] 李玲. 涡轴发动机转子连接螺栓的强度与蠕变寿命研究[D]. 南京: 南京航空航天大学,2009. LI Ling. Research on strength and CreepLife of connecting bolts in turboshaft engine rotors[D]. Nanjing: Nanjing University of Aeronautics and Astronautics,2009. (in Chinese

    LI Ling. Research on strength and CreepLife of connecting bolts in turboshaft engine rotors[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2009. (in Chinese)
    [4] 尹泽勇,欧园霞,胡柏安,等. 端齿连接及变轴力的影响[J]. 航空动力学报,1994,9(2): 20-23. YIN Zeyong,OU Yuanxia,HU (Bai| Bo)('an),et al. End-tooth connection and influence of variable axial force[J]. Journal of Aerospace Power,1994,9(2): 20-23. (in Chinese

    YIN Zeyong, OU Yuanxia, HU (Bai| Bo)('an), et al. End-tooth connection and influence of variable axial force[J]. Journal of Aerospace Power, 1994, 9(2): 20-23. (in Chinese)
    [5] 李玲,蔡安江,蔡力钢,等. 螺栓结合面微观接触模型[J]. 机械工程学报,2016,52(7): 205-212. LI Ling,CAI Anjiang,CAI Ligang,et al. Micro-contact model of bolted-joint interface[J]. Journal of Mechanical Engineering,2016,52(7): 205-212. (in Chinese doi: 10.3901/JME.2016.07.205

    LI Ling, CAI Anjiang, CAI Ligang, et al. Micro-contact model of bolted-joint interface[J]. Journal of Mechanical Engineering, 2016, 52(7): 205-212. (in Chinese) doi: 10.3901/JME.2016.07.205
    [6] SUN Wei,LI Tao,YANG Dongjian,et al. Dynamic investigation of aeroengine high pressure rotor system considering assembly characteristics of bolted joints[J]. Engineering Failure Analysis,2020,112: 104510. doi: 10.1016/j.engfailanal.2020.104510
    [7] 孟春晓,张文胜,马辉,等. 螺栓连接鼓筒转子结构动力学特性分析[J]. 振动工程学报,2019,32(3): 517-525. MENG Chunxiao,ZHANG Wensheng,MA Hui,et al. Analysis of dynamic characteristics of a bolted drum rotor structure[J]. Journal of Vibration Engineering,2019,32(3): 517-525. (in Chinese

    MENG Chunxiao, ZHANG Wensheng, MA Hui, et al. Analysis of dynamic characteristics of a bolted drum rotor structure[J]. Journal of Vibration Engineering, 2019, 32(3): 517-525. (in Chinese)
    [8] 李伦绪,陈果,于平超,等. 止口螺栓连接结构非线性刚度机理分析及数值仿真[J]. 航空动力学报,2021,36(2): 358-368. LI Lunxu,CHEN Guo,YU Pingchao,et al. Nonlinear stiffness mechanism analysis and numerical simulation of rabbet-bolted connection structure[J]. Journal of Aerospace Power,2021,36(2): 358-368. (in Chinese

    LI Lunxu, CHEN Guo, YU Pingchao, et al. Nonlinear stiffness mechanism analysis and numerical simulation of rabbet-bolted connection structure[J]. Journal of Aerospace Power, 2021, 36(2): 358-368. (in Chinese)
    [9] 马艳红,倪耀宇,陈雪骑,等. 长拉杆-止口连接弯曲刚度损失及对转子系统振动响应影响[J]. 航空学报,2021,42(3): 223861. MA Yanhong,NI Yaoyu,CHEN Xueqi,et al. Bending stiffness loss of rod-rabbet joints and its effect on vibration response of rotor systems[J]. Acta Aeronautica et Astronautica Sinica,2021,42(3): 223861. (in Chinese

    MA Yanhong, NI Yaoyu, CHEN Xueqi, et al. Bending stiffness loss of rod-rabbet joints and its effect on vibration response of rotor systems[J]. Acta Aeronautica et Astronautica Sinica, 2021, 42(3): 223861. (in Chinese)
    [10] 洪杰,徐翕如,苏志敏,等. 高速转子连接结构刚度损失及振动特性[J]. 北京航空航天大学学报,2019,45(1): 18-25. HONG Jie,XU Xiru,SU Zhimin,et al. Joint stiffness loss and vibration characteristics of high-speed rotor[J]. Journal of Beijing University of Aeronautics and Astronautics,2019,45(1): 18-25. (in Chinese

    HONG Jie, XU Xiru, SU Zhimin, et al. Joint stiffness loss and vibration characteristics of high-speed rotor[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(1): 18-25. (in Chinese)
    [11] 尹泽勇,欧圆霞,李彦,等. 端齿轴段刚度及其对转子动力特性的影响[J]. 振动工程学报,1993,6(1): 63-67. YIN Zeyong,OU Yuanxia,LI Yan,et al. Stiffness of a shaft section with curvic couplings and its effect on dynamic characteristic of a rotor[J]. Journal of Vibration Engineering,1993,6(1): 63-67. (in Chinese

    YIN Zeyong, OU Yuanxia, LI Yan, et al. Stiffness of a shaft section with curvic couplings and its effect on dynamic characteristic of a rotor[J]. Journal of Vibration Engineering, 1993, 6(1): 63-67. (in Chinese)
    [12] 金淼,王艾伦,王青山,等. 考虑端齿预紧的新型中心拉杆-转子-叶片耦合系统动力学特性分析[J]. 机械工程学报,2021,57(23): 124-136. JIN Miao,WANG Ailun,WANG Qingshan,et al. Dynamic characteristics a analysis of a new type of central Tie rod rotor-blade-bearing coupling system considering the end-tooth connection structure[J]. Journal of Mechanical Engineering,2021,57(23): 124-136. (in Chinese doi: 10.3901/JME.2021.23.124

    JIN Miao, WANG Ailun, WANG Qingshan, et al. Dynamic characteristics a analysis of a new type of central Tie rod rotor-blade-bearing coupling system considering the end-tooth connection structure[J]. Journal of Mechanical Engineering, 2021, 57(23): 124-136. (in Chinese) doi: 10.3901/JME.2021.23.124
    [13] 雷冰龙,李超,何康,等. 共用支承-转子系统耦合振动分析及试验[J]. 航空动力学报,2020,35(11): 2293-2305. LEI Binglong,LI Chao,HE Kang,et al. Coupling vibration characteristics analysis and experiment of shared support-rotors system[J]. Journal of Aerospace Power,2020,35(11): 2293-2305. (in Chinese

    LEI Binglong, LI Chao, HE Kang, et al. Coupling vibration characteristics analysis and experiment of shared support-rotors system[J]. Journal of Aerospace Power, 2020, 35(11): 2293-2305. (in Chinese)
    [14] 夏冶宝,任兴民,秦卫阳,等. 浮环挤压油膜阻尼器对模拟低压转子突加不平衡响应影响分析[J]. 航空动力学报,2015,30(11): 2771-2778. XIA Yebao,REN Xingmin,QIN Weiyang,et al. Analysis of the effect of floating ring squeeze film damper on sudden unbalance response of low pressure rotor[J]. Journal of Aerospace Power,2015,30(11): 2771-2778. (in Chinese

    XIA Yebao, REN Xingmin, QIN Weiyang, et al. Analysis of the effect of floating ring squeeze film damper on sudden unbalance response of low pressure rotor[J]. Journal of Aerospace Power, 2015, 30(11): 2771-2778. (in Chinese)
    [15] 邓旺群,吴施志,刘文魁,等. 带柔性静子结构高速转子支承刚度修正方法[J]. 振动与冲击,2020,39(7): 29-35,66. DENG Wangqun,WU Shizhi,LIU Wenkui,et al. Support stiffness modification method for a high-speed rotor with flexible stator[J]. Journal of Vibration and Shock,2020,39(7): 29-35,66. (in Chinese

    DENG Wangqun, WU Shizhi, LIU Wenkui, et al. Support stiffness modification method for a high-speed rotor with flexible stator[J]. Journal of Vibration and Shock, 2020, 39(7): 29-35, 66. (in Chinese)
    [16] 王龙凯,王艾伦,尹伊君等. 考虑支承约束的航空发动机复杂转子振动特性[J]. 航空动力学报,2023,38(4): 901-912. WANG Longkai,WANG Ailun,YIN Yijun,et al. Vibration characteristics of complex aero-engine rotors considering support constraints[J]. Journal of Aerospace Power,2023,38(4): 901-912. (in Chinese

    WANG Longkai, WANG Ailun, YIN Yijun, et al. Vibration characteristics of complex aero-engine rotors considering support constraints[J]. Journal of Aerospace Power, 2023, 38(4): 901-912. (in Chinese)
    [17] 王龙凯,王艾伦,尹伊君等. 航空涡轮轴发动机复杂转子的动力学建模方法[J]. 中国机械工程,2022,33(13): 1513-1520. WANG Longkai,WANG Ailun,YIN Yijun,et al. Dynamic modeling method to complex rotor for aero-turboshaft engines[J]. China mechanical engineering,2022,33(13): 1513-1520. (in Chinese

    WANG Longkai, WANG Ailun, YIN Yijun, et al. Dynamic modeling method to complex rotor for aero-turboshaft engines[J]. China mechanical engineering, 2022, 33(13): 1513-1520. (in Chinese)
    [18] 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): 246-255. 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): 246-255. (in Chinese

    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): 246-255. (in Chinese)
    [19] JIN Miao,WANG Ailun,WANG Qingshan,et al. The vibration characteristics of central Tie rod rotor-blade-bearing coupling system considering the influence of the Hirth couplings[J]. Archive of Applied Mechanics,2022,92(12): 3533-3561. doi: 10.1007/s00419-022-02247-6
    [20] 赵润超,焦映厚,曲秀全,等. 基于虚拟材料层燃机转子接触面建模方法[J]. 哈尔滨工业大学学报,2021,53(1): 117-123. ZHAO Runchao,JIAO Yinghou,QU Xiuquan,et al. Modeling method of gas turbine rotor contact surface based on virtual material layer[J]. Journal of Harbin Institute of Technology,2021,53(1): 117-123. (in Chinese

    ZHAO Runchao, JIAO Yinghou, QU Xiuquan, et al. Modeling method of gas turbine rotor contact surface based on virtual material layer[J]. Journal of Harbin Institute of Technology, 2021, 53(1): 117-123. (in Chinese)
    [21] 杨郑烈,王艾伦,张海彪,等. 考虑接触效应的端齿连接转子动力学特性研究[J]. 机械强度,2020,42(6): 1489-1495. YANG Zhenglie,WANG Ailun,ZHANG Haibiao,et al. Study on dynamic characteristics of end-toothed connection rotor considering contact effect[J]. Journal of Mechanical Strength,2020,42(6): 1489-1495. (in Chinese

    YANG Zhenglie, WANG Ailun, ZHANG Haibiao, et al. Study on dynamic characteristics of end-toothed connection rotor considering contact effect[J]. Journal of Mechanical Strength, 2020, 42(6): 1489-1495. (in Chinese)
    [22] MA Hui,LU Yang,WU Zhiyuan,et al. A new dynamic model of rotor–blade systems[J]. Journal of Sound and Vibration,2015,357: 168-194. doi: 10.1016/j.jsv.2015.07.036
    [23] 杨克昌. 圆锥类刚体对任意轴的转动惯量计算公式[J]. 娄底师专学报,1988,5(4): 29-32. YANG Kechang. Calculation formula of moment of inertia of conical rigid body about arbitrary axis[J]. Journal of Loudi Teachers College,1988,5(4): 29-32. (in Chinese

    YANG Kechang. Calculation formula of moment of inertia of conical rigid body about arbitrary axis[J]. Journal of Loudi Teachers College, 1988, 5(4): 29-32. (in Chinese)
    [24] MA Hui,YIN Fanli,WU Zhiyuan,et al. Nonlinear vibration response analysis of a rotor-blade system with blade-tip rubbing[J]. Nonlinear Dynamics,2016,84(3): 1225-1258. doi: 10.1007/s11071-015-2564-5
    [25] 吴志渊,闫寒,吴林潮,等. 旋转裂纹叶片-弹性轮盘耦合系统振动特性[J]. 航空学报,2022,43(9): 625442. WU Zhiyuan,YAN Han,WU Linchao,et al. Vibration characteristics of rotating cracked-blade-flexible-disk coupling system[J]. Acta Aeronautica et Astronautica Sinica,2022,43(9): 625442. (in Chinese

    WU Zhiyuan, YAN Han, WU Linchao, et al. Vibration characteristics of rotating cracked-blade-flexible-disk coupling system[J]. Acta Aeronautica et Astronautica Sinica, 2022, 43(9): 625442. (in Chinese)
    [26] 赵永武,吕彦明,蒋建忠. 新的粗糙表面弹塑性接触模型[J]. 机械工程学报,2007,43(3): 95-101. ZHAO Yongwu,LYU Yanming,JIANG Jianzhong. New elastic-plastic model for the contact of rough surfaces[J]. Chinese Journal of Mechanical Engineering,2007,43(3): 95-101. (in Chinese doi: 10.3901/JME.2007.03.095

    ZHAO Yongwu, LYU Yanming, JIANG Jianzhong. New elastic-plastic model for the contact of rough surfaces[J]. Chinese Journal of Mechanical Engineering, 2007, 43(3): 95-101. (in Chinese) doi: 10.3901/JME.2007.03.095
    [27] ZHAO Yongwu,MAIETTA D M,CHANG L. An asperity microcontact model incorporating the transition from elastic deformation to fully plastic flow[J]. Journal of Tribology,2000,122(1): 86-93. doi: 10.1115/1.555332
    [28] 《航空发动机设计手册》总编委会. 航空发动机设计手册: 第19册 转子动力学及整机振动[M]. 北京: 航空工业出版社,2001: 210-220. The Editorial Committee of Aviation Engine Design Handbook. Aviation Engine Design Handbook: Volume 19 Rotor Dynamics and Engine Vibration[M]. Beijing: Aviation Industry Press,2001: 210-220. (in Chinese

    The Editorial Committee of Aviation Engine Design Handbook. Aviation Engine Design Handbook: Volume 19 Rotor Dynamics and Engine Vibration[M]. Beijing: Aviation Industry Press, 2001: 210-220. (in Chinese)
    [29] 缪辉,臧朝平,罗欣洋,等. 基于薄层单元的拉杆转子接触界面动力学建模及修正[J]. 航空动力学报,2019,34(9): 1927-1935. MIAO Hui,ZANG Chaoping,LUO Xinyang,et al. Dynamic modeling and updating for contact interface of rod fastening rotor based on thin-layer element[J]. Journal of Aerospace Power,2019,34(9): 1927-1935. (in Chinese

    MIAO Hui, ZANG Chaoping, LUO Xinyang, et al. Dynamic modeling and updating for contact interface of rod fastening rotor based on thin-layer element[J]. Journal of Aerospace Power, 2019, 34(9): 1927-1935. (in Chinese)
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  • 收稿日期:  2022-09-28
  • 网络出版日期:  2024-03-20

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