Fast analysis of blade aerodynamic force under wake excitation

LUO Xiao1, LI Lizhou1, ZHANG Xinyan1, ZHANG Jun2, YANG Minglei1, YUAN Meini1

Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (23) : 139-145.

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PDF(1229 KB)
Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (23) : 139-145.

Fast analysis of blade aerodynamic force under wake excitation

  • LUO Xiao1, LI Lizhou1, ZHANG Xinyan1, ZHANG Jun2, YANG Minglei1, YUAN Meini1
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Abstract

To quickly solve blade aerodynamic force under wake excitation, the blade aerodynamic force reduced order model (ROM) method based on the harmonic balance method was proposed here.Through further studying this method, it was found that under small turbulence, proportional coefficients between aerodynamic force’s harmonic amplitudes and wake harmonic amplitudes are only related to wake frequencies.Based on this finding, the fast analysis method of blade aerodynamic force was proposed.Firstly, proportional coefficients between aerodynamic force’s harmonic amplitudes caused by wake harmonics and wake harmonic amplitudes were obtained, and then the relation curves between these proportional coefficients and wake harmonic frequencies were fitted.For any wake, proportional coefficients corresponding to its various harmonics were acquired through these curves interpolation, further blade aerodynamic force harmonic amplitudes were gained.Finally, the blade aerodynamic force ROM was used to solve blade aerodynamic force under wake excitation.The example calculation results showed that the proposed fast analysis method can be used to rapidly and accurately estimate blade aerodynamic force under any wake excitation without needing to do repeatedly CFD aerodynamic force computation for wakes of different frequencies.

Key words

wake / reduced order model (ROM) / influence coefficient method / aerodynamic force / blade / harmonic balance method

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LUO Xiao1, LI Lizhou1, ZHANG Xinyan1, ZHANG Jun2, YANG Minglei1, YUAN Meini1. Fast analysis of blade aerodynamic force under wake excitation[J]. Journal of Vibration and Shock, 2019, 38(23): 139-145

References

[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.
[2] 王梅.非定常流场分析结果想结构载荷压力场转化问题的解决[J].燃气涡轮试验与研究,2005,18(3):15-19.
Wang Mei. Solving the Problems of Transforming Unsteady Flow Analysis Results to Load Pressure Field[J]. Gas Turbine Experiment and Research, 2005, 18(3):15-19.
[3] 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, Lv Wenlin. Method to Predict the Blade Vibration Stress Induced by Wake Flow[J]. Journal of Aerospace Power, 2007, 22(4):608-613.
[4] 杨慧,李振鹏.转静激励对转子叶片颤振特性的影响[J].北京航空航天大学学报,2016,42(2):258-264.
Yang Hui, Li Zhenpeng. Influence of Rotor-Stator Interaction on Rotor Blade Flutter Characteristics[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(2):258-264.
[5] Zhao Zhenhua, Lv Wenliang, Chen Wei, Wu Tieying. Vibration Numrical Analsys of Counter-Rotating Turbine with Wake-Flow Using Fluid-Structure Ineraction Method[J]. Transaction of Nanjing University of Aeronautics&Astronautics, 2011, 28(1):66-72.
[6] Kivanc Ekici, Robert E Kielb, Kenneth C Hall. The Effect of Aerodynamic Asymmetries on Turbomachinery Flutter[J]. Journal of Fluids and Structures, 2013, 36:1-17.
[7] Y L Lau, R C K Leung, R M C So. Vortex-Induced Vibration Effect on Fatigue Life Estimate of Turbine Blades[J]. Journal of Sound and Vibration, 2007, 307:698-719.
[8] 张伟伟,苏丹,张陈安,叶正寅,刘峰.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 Chenan,Ye Zhengyin, Liu Feng. A CFD-Based Compositional Methodology of Unsteady Aerodynamic Modeling for Turbomachinery[J]. Journal of Propulsion Technology, 2012, 33(1):37-41.
[9] 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.
[10] G Dimitriadis. Continuation of Higher-Order Harmonic Balance Solutions for Nonlinear Aeroelastic Systems[J]. Journal of Aircraft, 2008, 45(2):523-537.
[11] Remi Bourguet, Marianna Braza, Alain Dervieux. Reduced-Order Modeling of Transonic Flows around an Airfoil Submitted to Small Deformations[J]. Journal of Computational Physics, 2011, 230:159-184.
[12] Maciej Balajewicz, Fred Nitzsche, Daniel Feszty. Application of Multi-Input Volterra Theory to Nonlinear Multi-Degree-of-Freedom Aerodynamic Systems[J]. AIAA Journal, 2010, 233:56-62.
[13] Y H Wang, J L Han. Approach to Identification of a Second-Order Volterra Kernel of Nonlinear Systems by Tchebyshev Polynomials Method[J]. Research Journal of Applied Sciences, Engineering and Technology, 2013, 5(20):4950-4955 .
[14] Walter A Silva. Reduced Order Models Based on Linear and Nonlinear Aerodynamic Impulse Responses[J]. AIAA Journal, 1999, 233:1-11.
[15] L He. Harmonic Solution of Unsteady Flow around Blades with Separation[J]. AIAA Journal, 2008, 46(6):1299-1307.
[16] Dan Su, Weiwei Zhang, Zhenyin Ye. A Reduced Order Model for Uncoupled and Coupled Cascade Flutter Analysis[J]. Journal of Fluids and Structures, 2016, 61:410-430.
[17] Meng-Sing Liou, Weigang Yao. Flutter Analysis for Turbomachinery Using Volterra Series [C]// Proceedings of ASME Turbo Expro. Düsseldorf, Germany, 2014: 1-13.
[18] Graham Ashcroft, Christian Frey, Hans-Peter Kersken. On the Development of a Harmonic Balance Method for Aeroelastic Analysis [C]// The 11th World Congress on Computational Mechanics (WCCM XI). Barcelona, Spain, 2014: 1-13.
[19] 章云,胡振邦,梅雪松. 高速转子分布式不平衡量无试重识别方法[J]. 振动与冲击,2017,36(4):28-31.
Zhuang Yun, Hu Zhenbang,Mei Xuesong. An identification method of distributed imbalance without trial weights for high speed rotors[J]. Journal of Vibration and Shock, 2017,36(4):28-31.
[20] 郑赟, 余永博. 轴向间距对转子叶片颤振特性的影响机理[J]. 北京航空航天大学学报,2018,44(4):709-716.
Zheng Yun, Yu Yangbo. Influence mechanism of axial spacing on rotor blade flutter characteristics[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018,44(4):709-716.
[21] K.Vogel, A.D.Naidu; M.Fischer. Comparison of the influence coefficient method and Travelling Wave Mode Approach for the Calculation of Aerodynamic Damping of Centrifugal Compressors and Axial Turbines[C]//Turbomachinery Technical Conference and Expositon. Charlotte, NC, USA, 2017:1-9.
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