XU Zi-li, ZHOU Zi-xuan. Torsional coupled vibration characteristics of multi-stage blade disc-shaft system of aeroengine[J]. Journal of Traffic and Transportation Engineering, 2019, 19(3): 79-88. doi: 10.19818/j.cnki.1671-1637.2019.03.009
Citation: XU Zi-li, ZHOU Zi-xuan. Torsional coupled vibration characteristics of multi-stage blade disc-shaft system of aeroengine[J]. Journal of Traffic and Transportation Engineering, 2019, 19(3): 79-88. doi: 10.19818/j.cnki.1671-1637.2019.03.009

Torsional coupled vibration characteristics of multi-stage blade disc-shaft system of aeroengine

doi: 10.19818/j.cnki.1671-1637.2019.03.009
More Information
  • Author Bio:

    XU Zi-li(1967-), male, professor, PhD, zlxu@mail.xjtu.edu.cn

  • Corresponding author: ZHOU Zi-xuan(1993-), male, graduate student, 2577817169@qq.com
  • Received Date: 2019-01-13
  • Publish Date: 2019-06-25
  • Aiming at the multi-stage blade disc rotor structure, the coupling effect of multi-stage blade bending deformation and shaft torsional deformation was taken into account, the centrifugal rigidity of blade was lead in, and the coupling vibration model containing multi-stage blades, two-stage blade discs and shaft was established. The differential equations of multi-stage blade disc-shaft coupling vibration were derived by using Hamilton principle, the system mass matrix and stiffness matrix were obtained by using numerical integration method, and then the coupled modes of the system were solved. The effects of natural frequency of blade disc, blade length, blade disc spacing and blade twist angle on vibration characteristics were studied. Analysis result shows that the two-stage blade disc-shaft coupling vibration includes 3 types of coupling modes, and the natural frequency of each order is separated from each other at the boundary of blade disc natural frequencies. When the blade length is less than 1 m, the first and second order coupling frequencies are greatly affected by the radius of shaft. When the blade length exceeds 1 m, the first and second order coupling frequencies are greatly affected by the blade length. When the system rotation speed is 2 000 rad·s-1, the variation amplitudes of 1-3 order coupling mode frequencies decrease by 5, 3 and 7 Hz under the influence of blade disc spacing, respectively. The speed-frequency curve has obvious frequency steering characteristics, the blade twist angle increases by 60°, and the steering area increases by 500 rad·s-1. The two-stage blade disc system will produce coupling modes different from the single-stage blade disc system, and the coupling frequency will be significantly affected by both short blade and long blade. The changes of blade twist angle and blade disc spacing will make the coupling area move, which reduces the risk of resonance that may occur.

     

  • loading
  • [1]
    张春宜, 刘令君, 孙旭东, 等. 基于双重响应面法的航空发动机叶片振动概率分析[J]. 推进技术, 2017, 38 (4): 918-924. https://www.cnki.com.cn/Article/CJFDTOTAL-TJJS201704024.htm

    ZHANG Chun-yi, LIU Ling-jun, SUN Xu-dong, et al. Vibration probability analysis of aero-engine blades based on double response surface method[J]. Journal of Propulsion Technology, 2017, 38 (4): 918-924. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-TJJS201704024.htm
    [2]
    李静, 孙强, 李春旺, 等. 某型航空发动机压气机叶片振动疲劳寿命研究[J]. 应用力学学报, 2011, 28 (2): 189-193. https://www.cnki.com.cn/Article/CJFDTOTAL-YYLX201102018.htm

    LI Jing, SUN Qiang, LI Chun-wang, et al. Study on vibration fatigue life for aero-engine compressor blade[J]. Chinese Journal of Applied Mechanics, 2011, 28 (2): 189-193. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-YYLX201102018.htm
    [3]
    王美令, 陈果. 转子系统临界转速计算方法[J]. 交通运输工程学报, 2009, 9 (6): 59-63. doi: 10.3969/j.issn.1671-1637.2009.06.012

    WANG Mei-ling, CHEN Guo. Computational method of critical speed for rotor-bearing system[J]. Journal of Traffic and Transportation Engineering, 2009, 9 (6): 59-63. (in Chinese). doi: 10.3969/j.issn.1671-1637.2009.06.012
    [4]
    王延荣, 田爱梅. 叶/盘结构振动分析中几个问题的探讨[J]. 推进技术, 2002, 23 (3): 233-236. doi: 10.3321/j.issn:1001-4055.2002.03.016

    WANG Yan-rong, TIAN Ai-mei. Several issues in the implementation of vibration analysis of bladed disk[J]. Journal of Propulsion Technology, 2002, 23 (3): 233-236. (in Chinese). doi: 10.3321/j.issn:1001-4055.2002.03.016
    [5]
    王立刚, 曹登庆, 胡超, 等. 叶片振动对转子-轴承系统动力学行为的影响[J]. 哈尔滨工程大学学报, 2007, 28 (3): 320-325. doi: 10.3969/j.issn.1006-7043.2007.03.016

    WANG Li-gang, CAO Deng-qing, HU Chao, et al. Effect of the blade vibration on the dynamical behaviors of a rotor-bearing system[J]. Journal of Harbin Engineering University, 2007, 28 (3): 320-325. (in Chinese). doi: 10.3969/j.issn.1006-7043.2007.03.016
    [6]
    AL-BEDOOR B O. Natural frequencies of coupled blade-bending and shaft-torsional vibrations[J]. Shock and Vibration, 2007, 14 (1): 65-80. doi: 10.1155/2007/506165
    [7]
    商大中, 曹承佳, 李宏亮. 考虑刚体运动与弹性运动耦合影响的旋转叶片振动有限元分析[J]. 计算力学学报, 2000, 17 (3): 332-338. doi: 10.3969/j.issn.1007-4708.2000.03.013

    SHANG Da-zhong, CAO Cheng-jia, LI Hong-liang. Finite element method of rotating blade with considering of the coupling of rigid body motion and elastic motion[J]. Chinese Journal of Computational Mechanics, 2000, 17 (3): 332-338. (in Chinese). doi: 10.3969/j.issn.1007-4708.2000.03.013
    [8]
    李克安, 林左鸣, 杨胜群, 等. 航空发动机转子叶片振动方程及其频率计算[J]. 航空学报, 2013, 34 (12): 2733-2739. https://www.cnki.com.cn/Article/CJFDTOTAL-HKXB201312010.htm

    LI Ke-an, LIN Zuo-ming, YANG Sheng-qun, et al. Vibration equation and frequency computation of an aero-engine rotor blade[J]. Acta Aeronautica et Astronautica Sinica, 2013, 34 (12): 2733-2739. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-HKXB201312010.htm
    [9]
    徐自力, 谢浩, PARK J P, 等. 成组叶片振动特性的三维数值模拟及实验研究[J]. 西安交通大学学报, 2003, 37 (7): 678-682. doi: 10.3321/j.issn:0253-987X.2003.07.005

    XU Zi-li, XIE Hao, PARK J P, et al. Three-dimensional numerical simulation and experimental study on vibratory modes of group blades[J]. Journal of Xi'an Jiaotong University, 2003, 37 (7): 678-682. (in Chinese). doi: 10.3321/j.issn:0253-987X.2003.07.005
    [10]
    徐自力, 窦柏通, 范小平, 等. 基于分层模态综合法的大型汽轮发电机组转子-末级叶片耦合系统扭转振动分析[J]. 动力工程学报, 2014, 34 (12): 938-944. https://www.cnki.com.cn/Article/CJFDTOTAL-DONG201412003.htm

    XU Zi-li, DOU Bai-tong, FAN Xiao-ping, et al. Coupled torsional vibration analysis of shaft-last stage blade system in large turbo-generator units using CMS method with nested substructures[J]. Journal of Chinese Society of Power Engineering, 2014, 34 (12): 938-944. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-DONG201412003.htm
    [11]
    LEE H, SONG J S, CHA S J, et al. Dynamic response of coupled shaft torsion and blade bending in rotor blade system[J]. Journal of Mechanical Science and Technology, 2013, 27 (9): 2585-2597. doi: 10.1007/s12206-013-0702-x
    [12]
    MA Hui, LU Yang, WU Zhi-yuan, et al. Vibration response analysis of a rotational shaft-disk-blade system with blade-tip rubbing[J]. International Journal of Mechanical Sciences, 2016, 107: 110-125. doi: 10.1016/j.ijmecsci.2015.12.026
    [13]
    HUANG Wen-hu. Free and forced vibration of closely coupled turbomachinery blades[J]. AIAA Journal, 1981, 19 (7): 918-924. doi: 10.2514/3.51020
    [14]
    MIKRUT P L, MORRIS S C, CAMERON J D. Compressor blade vibration measurements using blade image velocimetry[J]. Journal of Vibration and Acoustics, 2015, 137 (6): 1-8.
    [15]
    杨辉, 洪嘉振, 余征跃. 刚柔耦合建模理论的实验验证[J]. 力学学报, 2003, 35 (2): 253-256. doi: 10.3321/j.issn:0459-1879.2003.02.022

    YANG Hui, HONG Jia-zhen, YU Zheng-yue. Experimental validation on modeling theory for rigid-flexible coupling system[J]. Acta Mechanica Sinica, 2003, 35 (2): 253-256. (in Chinese). doi: 10.3321/j.issn:0459-1879.2003.02.022
    [16]
    郑彤, 章定国, 廖连芳, 等. 航空发动机叶片刚柔耦合动力学分析[J]. 机械工程学报, 2014, 50 (23): 42-49. https://www.cnki.com.cn/Article/CJFDTOTAL-JXXB201423008.htm

    ZHENG Tong, ZHANG Ding-guo, LIAO Lian-fang, et al. Rigid-flexible coupling dynamic analysis of aero-engine blades[J]. Journal of Mechanical Engineering, 2014, 50 (23): 42-49. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-JXXB201423008.htm
    [17]
    寇海军, 张俊红, 林杰威. 航空发动机风扇叶片振动特性分析[J]. 西安交通大学学报, 2014, 48 (11): 109-114. https://www.cnki.com.cn/Article/CJFDTOTAL-XAJT201411019.htm

    KOU Hai-jun, ZHANG Jun-hong, LIN Jie-wei. Aero-engine fan blade vibration characteristic analysis[J]. Journal of Xi'an Jiaotong University, 2014, 48 (11): 109-114. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-XAJT201411019.htm
    [18]
    杨建刚, 高亹. 大型旋转机械叶片-轴弯扭耦合振动问题的研究[J]. 动力工程, 2003, 23 (4): 2569-2573. https://www.cnki.com.cn/Article/CJFDTOTAL-DONG200304018.htm

    YANG Jian-gang, GAO Wei. Research on the coupled blade-bending and shaft-torsion vibration of rotating machinery[J]. Power Engineering, 2003, 23 (4): 2569-2573. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-DONG200304018.htm
    [19]
    BAB S, KHADEM S E, ABBASI A, et al. Dynamic stability and nonlinear vibration analysis of a rotor system with flexible/rigid blades[J]. Mechanism and Machine Theory, 2016, 105: 633-653. doi: 10.1016/j.mechmachtheory.2016.07.026
    [20]
    OKABE A, KUDO T, YODA H, et al. Rotor-blade coupled vibration analysis by measuring modal parameters of actual rotor[C]//ASME. Proceedings of Turbo Expo 2009: Power for Land, Sea, and Air. New York: ASME, 2009: 803-812.
    [21]
    OKABE A, SHIOHATA K, KUDO T, et al. Rotor-blade coupled torsional vibration analysis using modal parameters based on fem analyses and experiments[C]//ASME. Proceedings of ASME 2010 International Mechanical Engineering Congress and Exposition. New York: ASME, 2010: 139-147.
    [22]
    YANG C H, HUANG S C. Coupling vibrations in rotating shaft-disk-blades system[J]. Journal of Vibration and Acoustics, 2007, 129 (1): 48-57. doi: 10.1115/1.2221328
    [23]
    CHIU Y J, CHEN D Z. The coupled vibration in a rotating multi-disk rotor system[J]. International Journal of Mechanical Sciences, 2011, 53 (1): 1-10. doi: 10.1016/j.ijmecsci.2010.10.001
    [24]
    KUDO T, SHIOHATA K, MATSUSHITA O, et al. Experimental study of torsional-bending coupled vibration of a rotor system with a bladed disk[C]//ASME. Proceedings of the ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. New York: ASME, 2013: 1-10.
    [25]
    ZHOU Shui-ting, CHIU Yi-jui, YU Guo-fei, et al. An assumed mode method and finite element method investigation of the coupled vibration in a flexible-disk rotor system with lacing wires[J]. Journal of Mechanical Science and Technology, 2017, 31 (2): 577-586. doi: 10.1007/s12206-017-0110-8
    [26]
    LIM H S, CHUNG J, YOO H H. Modal analysis of a rotating multi-packet blade system[J]. Journal of Sound and Vibration, 2009, 325 (3): 513-531. doi: 10.1016/j.jsv.2009.03.042
    [27]
    LIM H S, HONG H Y. Modal analysis of a multi-blade system undergoing rotational motion[J]. Journal of Mechanical Science and Technology, 2009, 23 (8): 2051-2058. doi: 10.1007/s12206-009-0431-3
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (848) PDF downloads(392) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return