LUO Xiao, ZHANG Xinyan, ZHANG Jun, LI Lizhou, YANG Minglei, YUAN Meini. A Reduced-Order Model Method for Blade Vibration Due to Upstream Wake Based on the Harmonic Balance Method[J]. Applied Mathematics and Mechanics, 2018, 39(8): 892-899. doi: 10.21656/1000-0887.380294
Citation: LUO Xiao, ZHANG Xinyan, ZHANG Jun, LI Lizhou, YANG Minglei, YUAN Meini. A Reduced-Order Model Method for Blade Vibration Due to Upstream Wake Based on the Harmonic Balance Method[J]. Applied Mathematics and Mechanics, 2018, 39(8): 892-899. doi: 10.21656/1000-0887.380294

A Reduced-Order Model Method for Blade Vibration Due to Upstream Wake Based on the Harmonic Balance Method

doi: 10.21656/1000-0887.380294
Funds:  The National Natural Science Foundation of China(51775518)
  • Received Date: 2017-11-23
  • Rev Recd Date: 2018-06-07
  • Publish Date: 2018-08-15
  • In aero-engines, downstream blades are forced to vibrate by the upstream wake, which often severely affects the flutter and fatigue performance of blades. Hence, an efficient method is needed for the analysis of this complex fluid-structure interaction phenomenon. A reduced-order model (ROM) method for blade vibration was proposed based on the harmonic balance method. The upstream wake was firstly decomposed into a number of harmonic waves by FFT (fast Fourier transform), and the aerodynamic forces on the blade were obtained through calculation of the amplitudes of aerodynamic forces on the blade due to each harmonic wave; then the blade vibration was fast analyzed by means of the structure dynamic equations for the blade coupled with the aerodynamic ROM. The results show that this method can analyze the flutter characteristics of the blade under wake excitation quickly and accurately.
  • loading
  • [1]
    陈佐一. 流体激振[M]. 北京: 清华大学出版社, 1988: 24-27.(CHEN Zuoyi. Oscillating Fluid Mechanics [M]. Beijing: Tsinghua University Press, 1988: 24-27.(in Chinese))
    [2]
    王梅, 江和甫, 吕文林. 在尾流激振情况下叶片振动应力预估计技术[J]. 航空动力学报, 2007,22(4): 608-613.(WANG Mei, JIANG Hefu, L Wenlin. Method to predict the blade vibration stress induced by wake flow[J]. Journal of Aerospace Power,2007,22(4): 608-613.(in Chinese))
    [3]
    ZHAO Zhenhua, L Wenliang, CHEN Wei, et al. Vibration numerical analysis of counter-rotating turbine with wake-flow using fluid-structure interaction method[J]. Transaction of Nanjing University of Aeronautics & Astronautics,2011,28(1): 66-72.
    [4]
    EKICI K, KIELB R E, HALL K C. The effect of aerodynamic asymmetries on turbomachinery flutter[J]. Journal of Fluids and Structures,2013,36(1): 1-17.
    [5]
    LAU Y L, LEUNG R C K, SO R M C. Vortex-induced vibration effect on fatigue life estimate of turbine blades[J]. Journal of Sound And Vibration,2007,307(3): 698-719.
    [6]
    陈刚, 李跃明. 非定常流场降阶模型及其应用研究进展与展望[J]. 力学进展, 2011,41(6): 686-701.(CHEN Gang, LI Yueming. Advances and prospects of the reduced order model for unsteady flow and its application[J]. Advances in Mechanics,2011,41(6): 686-701.(in Chinese))
    [7]
    张伟伟, 苏丹, 张陈安, 等. 一种基于CFD的叶轮机非定常气动力组合建模方法[J]. 推进技术, 2012,33(1): 37-41.(ZHANG Weiwei, SU Dan, ZHANG Chen’an, et al. A CFD-based compositional methodology of unsteady aerodynamic modeling for turbomachinery[J]. Journal of Propulsion Technology,2012,33(1): 37-41.(in Chinese))
    [8]
    DIMITRIADIS G. Continuation of higher-order harmonic balance solutions for nonlinear aeroelastic systems[J].Journal of Aircraft,2008,45(2): 523-537.
    [9]
    BOURGUET R, BRAZA M, DERVIEUX A. Reduced-order modeling of transonic flows around an airfoil submitted to small deformations[J]. Journal of Computational Physics,2011,230(1): 159-184.
    [10]
    SILVA W A. Reduced-order models based on linear and nonlinear aerodynamic impulse responses[J]. AIAA Journal,1999,233: 1-11.
    [11]
    HE L. Harmonic solution of unsteady flow around blades with separation[J]. AIAA Journal,2008,46(6): 1299-1307.
    [12]
    SU Dan, ZHANG Weiwei, YE Zhenyin. A reduced order model for uncoupled and coupled cascade flutter analysis[J]. Journal of Fluids and Structures,2016,61: 410-430.
    [13]
    LIOU M S, YAO W G. Flutter analysis for turbomachinery using volterra series[C]// Proceedings of ASME Turbo Expro. Düsseldorf, Germany, 2014.
    [14]
    ASHCROFT G, FREY C, KERSKEN H P. On the development of a harmonic balance method for aeroelastic analysis[C]//The 6th European Conference on Computational Fluid Dynamics(ECFD VI).Barcelona, Spain, 2014.
    [15]
    HUANG H, EKICI K. An efficient harmonic balance method for unsteady flows in cascades[J]. Aerospace Science and Technology,2013,29(1): 144-154.
  • 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 (1082) PDF downloads(645) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return