Science China Physics, Mechanics & Astronomy

, Volume 57, Issue 6, pp 1111–1118 | Cite as

A high-efficiency aerothermoelastic analysis method



In this paper, a high-efficiency aerothermoelastic analysis method based on unified hypersonic lifting surface theory is established. The method adopts a two-way coupling form that couples the structure, aerodynamic force, and aerodynamic thermo and heat conduction. The aerodynamic force is first calculated based on unified hypersonic lifting surface theory, and then the Eckert reference temperature method is used to solve the temperature field, where the transient heat conduction is solved using Fourier’s law, and the modal method is used for the aeroelastic correction. Finally, flutter is analyzed based on the p-k method. The aerothermoelastic behavior of a typical hypersonic low-aspect ratio wing is then analyzed, and the results indicate the following: (1) the combined effects of the aerodynamic load and thermal load both deform the wing, which would increase if the flexibility, size, and flight time of the hypersonic aircraft increase; (2) the effect of heat accumulation should be noted, and therefore, the trajectory parameters should be considered in the design of hypersonic flight vehicles to avoid hazardous conditions, such as flutter.


aerothermoelastic two-way coupling unified hypersonic lifting surface theory piston theory flutter 


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  1. 1.
    Yang C, Xu Y, Xie C C. Review of studies on aeroelasticity of hypersonic vehicles. Acta Aeronaut Astronaut Sin, 2010, 31(3): 1–11Google Scholar
  2. 2.
    Huang S Y, Wang Z Y. The structure modal analysis with thermal environment. Mis Space Vehicle, 2009, 5: 50–52Google Scholar
  3. 3.
    Yang C, Wu Z G, Wan Z Q, et al. Principle of Aeroelastics. Beijing: Beihang University Press, 2011. 89–91Google Scholar
  4. 4.
    Garrick I E. A survey of aerothermoelasticity. Aerospace Eng, 1963, 22(1): 140–147Google Scholar
  5. 5.
    McNamara J J. Aeroelastic and Aerothermoelastic Behavior of Two and Three Dimensional Lifting Surfaces in Hypersonic. Dissertation for the Doctoral Degree. Ann Arbor: University of Michigan, 2005. 151–160Google Scholar
  6. 6.
    Wu Z G, Hui J P, Yang C. Hypersonic aerothermoelastic analysis of wings. J Beijing Univ Aeronaut Astronaut, 2005, 31(3): 270–273Google Scholar
  7. 7.
    Chen Hao, Xu M, Cai T X. Thermal flutter analysis of hypersonic wing on transient aerodynamic heating. J Northwest Polytechn Univ, 2012, 30(6): 898–904MathSciNetGoogle Scholar
  8. 8.
    McNamara J J, Culler A J, Crowell A R. Aerothermoelastic modeling considerations for hypersonic vehicles. In: Proceedings of 16th AIAA/DLR/DGLR International Space Planes and Hypersonic Systems and Technologies Conference. America: American Institute of Aeronautics and Astronautics, 2009. 7397Google Scholar
  9. 9.
    McNamara J J, Friedmann P P. Aeroelastic and aerothermoelastic analysis in hypersonic flow: Past, present, and future. AIAA J, 2011, 49(6): 1089–1122CrossRefADSGoogle Scholar
  10. 10.
    Culler A J, McNamara J J. Studies on fluid-thermal-structural coupling for aerothermoelasticity in hypersonic flow. AIAA J, 2010, 48(8): 1721–1738CrossRefADSGoogle Scholar
  11. 11.
    Culler A J, McNamara J J. Coupled flow-thermal-structural analysis for response prediction of hypersonic vehicle skin panels. In: Proceedings of 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Orlando: American Institute of Aeronautics and Astronautics, 2010. 2965Google Scholar
  12. 12.
    Yang C, Li G S, Wan Z Q. Aerothermal-aeroelastic two-way coupling method for hypersonic curved panel flutter. Sci China-Technol Sci, 2012, 55(3): 831–840CrossRefGoogle Scholar
  13. 13.
    Eckert E R G. Engineering relations for heat transfer and friction in high-velocity laminar and turbulent boundary-layer flow over surfaces with constant pressure and temperature. Trans ASME, 1956, 78(6): 1273–1283Google Scholar
  14. 14.
    Yang S M, Tao W S. Heat Transfer. Beijing: Higher Education Press, 2007. 33–43Google Scholar
  15. 15.
    Lighthill M J. Oscillating airfoils at high Mach number. J Aeronaut Sci, 2012, 20(6): 402–406CrossRefMathSciNetGoogle Scholar
  16. 16.
    Liu D D, Yao Z X, Sarhaddi D, et al. From piston theory to a unified hypersonic-supersonic lifting surface method. J Aircraft, 1997, 34(3): 304–312CrossRefGoogle Scholar
  17. 17.
    Liu D D, Chen P C, Tang L, et al. Expedient hypersonic aerothermodynamics methodology for RLV/TPS design. In: Proceedings of 11th AIAA/AAAF International Conference on Space Planes and Hypersonic Systems and Technologies. Orleans: American Institute of Aeronautics and Astronautics, 2002. 5129Google Scholar
  18. 18.
    Watkins C E, Berman J H. On the Kernel Function of the Integral Equation Relating Lift and Downwash Distributions of Oscillating Wings in Supersonic Flow. Technical Report, National Advisory Committee for Aeronautics. 1955Google Scholar
  19. 19.
    Qu Z H, Liu W, Zeng M, et al. Hypersonic Aerodynamics. Changsha: National University of Defense Technology Press, 2000. 13–19Google Scholar
  20. 20.
    Karpel M, Presente E. Structural dynamic loads in response to impulsive excitation. J Aircraft, 1995, 32(4): 853–861CrossRefGoogle Scholar
  21. 21.
    Bertin J J, Cummings R M. Fifty years of hypersonics: Where we’ve been, where we’re going. Prog Aerospace Sci, 2003, 39(6): 511–536CrossRefADSGoogle Scholar
  22. 22.
    Karpel M. Modal-based enhancement of integrated design optimization schemes. J Aircraft, 1998, 35(3): 437–444CrossRefGoogle Scholar
  23. 23.
    Qian Y J. Aerodynamics. Beijing: Beihang University Press, 2004. 260–268Google Scholar
  24. 24.
    Biedron R T, Rumsey C L. CFL3D User’s Manual Version 5.0, 1998. NASA-TM-1998-208444Google Scholar

Copyright information

© Science China Press and Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • ZhiQiang Wan
    • 1
  • YaoKun Wang
    • 1
  • YunZhen Liu
    • 1
  • Chao Yang
    • 1
  1. 1.School of Aeronautic Science and EngineeringBeihang UniversityBeijingChina

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