Aeroelasticity

Judgment on main flutter mode in high-speed flutter model design

  • ZHAO Ling ,
  • JI Chen ,
  • LIU Ziqiang
Expand
  • China Academy of Aerospace Aerodynamics, Beijing 100074, China

Received date: 2014-07-29

  Revised date: 2014-09-10

  Online published: 2015-04-27

Supported by

National Natural Science Foundation of China (91216202); National Defense Basic Research Program (B0320110011)

Abstract

It is difficult to achieve completely dynamic similarity for flutter model design. Theoretical support would be necessary to define the main flutter modes to guarantee data validity of wind tunnel flutter test. The judgment of the main flutter modes in high-speed flutter model design is studied analytically in the present paper. The effects of mode motion on generalized unsteady aerodynamic force and flutter characteristic are numerically investigated by a set of parameters, including generalized aerodynamic stiffness coefficients, unsteady aerodynamic force and flutter speeds. By comparing the results of those parameters, the interplay between mode motions is revealed. Analytical results of a high-speed sweepback wing show that the main flutter modes obtained by different methods are consistent. The aerodynamic stiffness coefficient in the expression of mode shape need not pay attention to aerodynamic force and could be taken as a quick criterion for main flutter mode selection in flutter model design and analysis.

Cite this article

ZHAO Ling , JI Chen , LIU Ziqiang . Judgment on main flutter mode in high-speed flutter model design[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015 , 36(4) : 1112 -1118 . DOI: 10.7527/S1000-6893.2014.0252

References

[1] Guan D. Aircraft aeroelasticity handbook [M]. Beijing: Aviation Industry Press, 1994: 215-217 (in Chinese). 管德.飞机气动弹性力学手册[M].北京: 航空工业出版社, 1994: 215-217.
[2] Ramsey J K. NASA aeroelasticity handbook, volume 2: design guides, NASA/TP-2006-212490-VOL2-PART2[R]. Cleveland: NASA Glenn Research Center, 2006.
[3] Rodden W P, Johnson E H. MSC/NASTRAN version 68 aeroelastic analysis user's guide[M]. Los Angeles, CA: MacNeal-Schwendler Corp, 1994: 69-71.
[4] van Zyl L H. Unrestrained aeroelastic divergence and the p-k flutter equation[J]. Journal of Aircraft, 2001, 38(3): 588-590.
[5] Chen P C. Damping perturbation method for flutter solution: the g-method [J].AIAA Journal, 2000, 38(9): 1519-1524.
[6] ZONA Technology Inc. ZAERO version 8.2 theoretical manual[M]. Scottsdale, A Z:ZONA Technology Inc., 2008: 7-12.
[7] Chen G B, Zou C Q, Yang C. Aeroelastic design foundation [M]. Beijing: Beihang University Press,2004:65-89 (in Chinese). 陈桂彬, 邹丛青, 杨超. 气动弹性设计基础[M]. 北京: 北京航空航天大学出版社, 2004: 65-89.
[8] Head A L. Flutter design principle[J]. International Aviation, 1960, 10: 69-77 (in Chinese). Head A L. 颤振设计原理[J]. 国际航空, 1960, 10: 69-77.
[9] Baker M, Lenkey P. Parametric flutter analysis of the TCA configuration and recommendation for FFM design and scaling, CRAD-9408-TR-3342[R]. Seattle, W A: The Boeing Company, 1997.
[10] Edwards J W, Schuster D M, Spain C V, et al. MAVRIC flutter model transonic limit cycle oscillation test, AIAA-2001-1291[R]. Reston: AIAA, 2001.
[11] Huang R, Qian W M, Zhao Y H. Flutter analysis: using piecewise quadratic interpolation with mode tracking and wind-tunnel test[J]. Journal of Aircraft, 2010, 47(4):1447-1451.
[12] Hanson P W. Aerodynamic effects of some configuration variables o at mach numbers from 0.7 to 6.86, NASA TN D-984[R]. Washington, D. C.: National Aeronautics and Space Administration, 1961.
[13] Giesing J P, Kalman T P, Rodden W P. Subsonic unsteady aerodynamics for general configurations, AIAA-1972-0026[R]. Reston: AIAA, 1972.
[14] Kier T M. Comparison of unsteady aerodynamic modeling methodologies with respect to flight loads analysis[C]//AIAA Atmospheric Flight Mechanics Conference and Exhibit. San Francisco, California: American Institute of Aeronautics and Astronautics, 2005: 1-37.
[15] van Dyke M D. A study of second-order supersonic-flow theory, NACA TN 2200[R]. Washington, D. C.: California Institute of Technology, 1951.
[16] McNamara J J, Crowell A R. Approximate modeling of unsteady aerodynamics for hypersonic aeroelasticity[J]. Journal of Aircraft, 2010, 47(6): 1932-1945.
[17] Shi X M, Yang B Y, Li H D, et al, Flutter analysis of wing-fuselage complete vehicle [J]. China Journal of Applied Mechanics, 2011, 28(6): 613-617 (in Chinese). 史晓鸣, 杨炳渊, 李海东, 等. 结合CFD和当地流活塞理论的全机组合体超声速颤振分析[J].应用力学学报, 2011, 28(6): 613-617.
[18] Dowell E H. Aeroelasticity modern tutorial[M]. Chen W J, Yin C J, translated. Beijing: Astronautic Publishing House, 1991: 67-69 (in Chinese). 道尔E H.气动弹性力学现代教程[M]. 陈文俊,尹传家,译.北京: 宇航出版社, 1991: 67-69.

Outlines

/