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Experimental Investigation on a Single NACA Airfoil’s Nonlinear Aeroelasticity in Wake Induced Vibrations

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An Erratum to this article was published on 01 September 2019

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Abstract

In order to meet the economic and environmental requirements, turbomachine blades and aircraft wings are becoming more light and flexible, and bearing more mechanical and aerodynamic loads. However aerodynamic excitation would bring more variables into the structural vibration, and becoming an aeroelasticity problem. Unlike mechanical resonance vibration, the structure would interact with the aerodynamic excitation, and the aerodynamic excitation frequency would lock into structural natural frequency even the frequency margin is more than 10%. This phenomenon extends the high amplitude response range and should be noticed in safety design in order to deal with the margin in specific resonance conditions. In this paper, the aerodynamic excitation induced forced response is investigated with experimental setup including upstream cylinder and a downstream single NACA airfoil in wind tunnel. The upstream cylinder generates the vortices imposed on the NACA airfoil, brings periodic excitation on the flexible blade. Flow velocity is measured with hot wire anemometer (HWA) at upstream and downstream of the blade synchronously. Numerical simulation is conducted based experimental condition and verified by the measurements. Proper Orthogonal Decomposition (POD) is applied to obtain the major flow structure at one typical flow condition. The structural properties of the airfoil including natural frequency and damping are evaluated through finite element analysis and hammer test. Based on the fluid and structure properties, coupled test and analysis can be conducted. The vibration characteristics of NACA airfoil at 1st and 2nd order modes are explored by altering the freestream velocity and cylinder diameter. The forced vibration of 1st order mode has the lock-in phenomenon, and the maximum amplitude point is not at the resonance point. But 2nd order mode shows typical resonance behavior.

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  • 03 October 2019

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References

  1. I.A. Sever, Experimental validation of turbomachinery blade vibration predictions, Applied Biochemistry & Biotechnology 161, 1–21 (2004).

    Google Scholar 

  2. T.S. Krausse, Study of impulse forcing on a simply supported blade, Aiaa Journal 43 (2005).

  3. M.L. Facchinetti, E. de Langre, F. Biolley, Coupling of structure and wake oscillators in vortex-induced vibrations, Journal of Fluids and Structures 19, (2004) 123–140.

    Article  ADS  Google Scholar 

  4. M.A. Spiker, Development of an efficient design method for non-synchronous vibrations, Dissertations & Theses–Gradworks (2008) 735–747.

    Google Scholar 

  5. A.N. Mikheev, N.I. Mikheev, V.M. Molochnikov, Vortex formation behind a cylinder in a fluctuating flow, Fluid Dynamics 49, (2014) 596–601.

    Article  MATH  Google Scholar 

  6. F.M. Besem, J.D. Kamrass, J.P. Thomas, D. Tang, R.E. Kielb, Vortex-Induced Vibration and Frequency Lock-In of an Airfoil at High Angles of Attack, Journal of Fluids Engineering (2014) V07BT35A008.

    Google Scholar 

  7. G.R.S. Assi, Wake-induced vibration of tandem and staggered cylinders with two degrees of freedom, Journal of Fluids and Structures 50, (2014) 340–357.

    Article  ADS  Google Scholar 

  8. J.R. Chaplin, W.M.J. Batten, Simultaneous Wake- and Vortex-Induced Vibrations of a Cylinder With Two Degrees of Freedom in Each Direction, Journal of Offshore Mechanics & Arctic Engineering 136 (2014) 031101.

    Article  Google Scholar 

  9. W. Zhang, X. Li, Z. Ye, Y. Jiang, Mechanism of frequency lock-in in vortex-induced vibrations at low Reynolds numbers, Journal of Fluid Mechanics 783, (2015) 72–102.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  10. C. Li, H. Dong, G. Liu, Effects of a dynamic trailing-edge flap on the aerodynamic performance and flow structures in hovering flight, Journal of Fluids and Structures 58, (2015) 49–65.

    Article  ADS  Google Scholar 

  11. H. Liu, Y. Wang, J. Wei, Z. Qu, The importance of controlling the upstream body wake in tandem cylinders system for noise reduction, Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering (2016).

    Google Scholar 

  12. U. Fey, M. König, H. Eckelmann, A new Strouhal–Reynolds-number relationship for the circular cylinder in the range 47 < Re < 2 × 105, Physics of Fluids 10 (1998) 1547–1549.

    Article  ADS  Google Scholar 

  13. Y. Zhu, H. Ouyang, Z. Du, Prediction of Flowfield and Acoustic Signature of a Split-type Air Conditioner, International Journal of Ventilation 8 (2009) 45–56.

    Article  ADS  Google Scholar 

  14. M.A. Mayorca, D.M. Vogt, C. Andersson, H. Mårtensson, T. Fransson, Uncertainty of forced response numerical predictions of an industrial blisk - Comparison with experiments, (2012) 1537–1548.

    Google Scholar 

  15. R. Huang, H. Li, H. Hu, Y. Zhao, Open/Closed-Loop Aeroservoelastic Predictions via Nonlinear, Reduced-Order Aerodynamic Models, AIAA Journal 53, (2015) 1812–1824.

    Article  ADS  Google Scholar 

  16. J. Kou, W. Zhang, Layered reduced-order models for nonlinear aerodynamics and aeroelasticity, Journal of Fluids and Structures 68, (2017) 174–193.

    Article  ADS  Google Scholar 

  17. J. Chen, 2D numerical simulation and wake analysis on flow around circular cylinder, Computer Aided Engineering (2013).

    Google Scholar 

  18. J. Lumley, The structure of inhomogeneous turbulence, Atmospheric Turbulence & Wave Propagation, Yaglom Am, Tatarski Vi Nauka, 1967.

    Google Scholar 

  19. K. Taira, S.L. Brunton, S.T.M. Dawson, C.W. Rowley, T. Colonius, B.J. McKeon, O.T. Schmidt, S. Gordeyev, V. Theofilis, L.S. Ukeiley, Modal Analysis of Fluid Flows: An Overview, AIAA Journal 55, (2017) 4013–4041.

    Article  ADS  Google Scholar 

  20. L. Sirovich, Turbulence and the dynamics of coherent structures. I - Coherent structures. II - Symmetries and transformations. III - Dynamics and scaling, Quarterly of Applied Mathematics 45, (1987) 561–571.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  21. B.R. Noack, K. Afanasiev, M. Morzynski, G. Tadmor, and F. Thiele, A hierarchy of low-dimensional models for the transient and post-transient cylinder wake, Journal of Fluid Mechanics 497, 335–363 (2003).

    Article  ADS  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgements

The authors would like to express their appreciation to “2011 Aero-Engine collaborative Innovation Plan” and the National Natural Science Foundation of China (grant no.11202132) for the support.

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Correspondence to Hua Ouyang.

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Russian Text © The Author(s), 2019, published in Izvestiya RAN. Mekhanika Zhidkosti i Gaza, 2019, No. 4, pp. 95–110.

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Wang, A., Ouyang, H., Xie, H. et al. Experimental Investigation on a Single NACA Airfoil’s Nonlinear Aeroelasticity in Wake Induced Vibrations. Fluid Dyn 54, 535–549 (2019). https://doi.org/10.1134/S0015462819030121

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  • DOI: https://doi.org/10.1134/S0015462819030121

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