A Reduced-Order Model Method for Blade Vibration Due to Upstream Wake Based on the Harmonic Balance Method
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摘要: 在航空发动机中下游叶片在上游尾流的作用下易发生受迫振动,严重影响叶片的颤振和疲劳性能.对于这种尾流作用下复杂的流固耦合情况需要一种有效的方法来分析.针对这一问题,提出了基于谐波平衡法的尾流激励的叶片振动降阶模型方法.该方法首先将上游尾流Fourier(傅立叶)分解为若干尾流谐波,并计算各尾流谐波下叶片气动力谐波的振幅,得到尾流引起的叶片气动力;再通过叶片的结构运动方程和气动力降阶模型的耦合分析尾流激励下叶片的振动.算例结果表明,该方法可以快速准确地分析尾流激励下叶片的振动特性.Abstract: 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.
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Key words:
- wake /
- flutter /
- aerodynamic force /
- blade /
- Fourier series
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[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.
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