Skip to main content
Log in

The stability analysis of rolling motion of hypersonic vehicles and its validations

  • Review
  • Published:
Science China Physics, Mechanics & Astronomy Aims and scope Submit manuscript

Abstract

The stability of the rolling motion of near space hypersonic vehicles with rudder control is studied using method of qualitative analysis of nonlinear differential equations, and the stability criteria of the deflected rolling motions are improved. The outcomes can serve as the basis for further study regarding the influence of pitching and lateral motion on the stability of rolling motion. To validate the theoretical results, numerical simulations were done for the rolling motion of two hypersonic vehicles with typical configurations. Also, wind tunnel experiments for four aircraft models with typical configurations have been done. The results show that: 1) there exist two dynamic patterns of the rolling motion under statically stable condition. The first one is point attractor, for which the motion of aircraft returns to the original state. The second is periodic attractor, for which the aircraft rolls periodically. 2) Under statically unstable condition, there exist three dynamic patterns of rolling motion, namely, the point attractor, periodic attractor around deflected state of rolling motion, and double periodic attractors or chaotic attractors.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Rong Z. Study on the Flow Characteristic and Mechanism of Rolling Motions Induced by Fore-Body Vortex. Dissertation for Doctoral Degree. Beijing: Beijing University of Aeronautics and Astronautics, 2009

    Google Scholar 

  2. Xia X J, Liu R Z, Yang X F. Unsteady flow behavior of a slender delta wing rock. J Beijing Univ Aeron Astron, 1998, 24(2): 185–188

    Google Scholar 

  3. Huang D, Wu G X. Investigation on unsteady aerodynamic characteristics for a delta wing oscillating in large amplitude pitching roll motion. ACTA Aeron Astron Sin, 1999, 20(6): 485–488

    Google Scholar 

  4. Liu W. Nonlinear Analysis and Numerical Simulation of Rocks of Slender Wing. Dissertation for Doctoral Degree. Changsha: National University of Defense and Technology, 2004

    Google Scholar 

  5. Liu W, Zhang H X. Hopf bifurcation and numerical simulation of free rocks of wings. In: Proceedings of the First Symposium on Mechanic Problems of Aeronautics and Astronautics. Chengdu: Beijing University of Aeronautics and Astronautics, 2004. 110–115

    Google Scholar 

  6. Liu W, Zhang H X. Nonlinear analysis and numerical simulation of rocks of slender wing. In: the 12th Conference on Computational Fluid Dynamics. Xi’an: Chinese Aerodynamics Research Society, 2004. 361–367

    Google Scholar 

  7. Liu W, Zhang H X. Numerical simulation and physical characteristic analysis for slender wing rock. Chin J Theor Appl Mech, 2005, 37(4): 385–392

    ADS  Google Scholar 

  8. Zhang H X, Liu W, Xie Y F, et al. On the rocking motion and its dynamic evolution of a swept delta wing. Acta Aerodyn Sin, 2006, 24(1): 5–9

    MATH  Google Scholar 

  9. Liu W, Yang X L, Zhang H X, et al. A review of investigations of wing rock problems under high angle of attack. Adv Mech, 2008, 38(2): 214–228

    Google Scholar 

  10. Mehra R K, Kessel W C, Carroll J V. Global Stability and Control Analysis of Aircraft at High Angles of Attack. NASA, AD A051850, 1977

    Google Scholar 

  11. Hawkins C A. Application of Bifurcation and Catastrophe Theories to Near Stall Flight Mechanics. NASA, AD A 167697, 1985

    Google Scholar 

  12. Gao H, Zhu P S, Gao Z H. The Advance Flight Dynamics. Beijing: National Defense Industry Press, 2004

    Google Scholar 

  13. He Z D, Gao H. The Advance Flight Dynamics. Xi’an: Northwestern Polytechnical University Press, 1990

    Google Scholar 

  14. Liu C. Fundamental of Nonlinear Dynamic Characteristic Analysis of Aircraft. Nanjing: Press of Nanjing University of Aeronautics and Astronautics, 1982

    Google Scholar 

  15. Fang Z P, Chen W C, Zhang S G. Flight Dynamics of Aeronautic Vehicles. Beijing: Beihang Press, 2005

    Google Scholar 

  16. Zhang H X, Yuan X X, Ye Y D, et al. Research on the dynamic stability of an orbital reentry vehicle in pitching. ACTA Aerodyn Sin, 2002, 20(3): 247–259

    Google Scholar 

  17. Zhang H X, Zhang Z, Yuan X X, et al. Physical analysis and numerical simulation for the dynamic behavior of vehicles in pitching oscillations or rocking motions. Sci China Ser E-Technol Sci, 2007, 50(4): 385–401

    Article  Google Scholar 

  18. He X M, Peng M S. Introduction of Partial Differential Equations and Dynamic Systems. Beijing: Beijing Institute of Technology Press, 2010

    Google Scholar 

  19. Zhang J Y, Feng B Y. Geometry Theory and Bifurcation of Partial Differential Equations. Beijing: Beijing University Press, 2000

    Google Scholar 

  20. Ma Z E, Zhou Y C. Qualitative and Stability Method of Partial Differential Equations. Beijing: Science Press, 2001

    Google Scholar 

  21. Zhang X F. Study on the Dynamic Characteristic of Hypersonic Vehicles. Dissertation for Doctoral Degree. Mianyang: China Aerodynamic Research and Development Center, 2012

    Google Scholar 

  22. Li H F. Guidance and Control Technique of Hypersonic Vehicles. Beijing: China Astronautic Publishing House, 2012

    Google Scholar 

  23. Li Y P, Zhao Z L, Li H. Experimental Tests on the Stability Criteria of One Freedom Rolling Motions. Technical Report, High Speed Institute of China Aerodynamic Research and Development Center, 2012

    Google Scholar 

  24. Li Y P, Zhao Z L. Experimental Tests on Dynamic Derivative of Body-Wing Configurations. Technical Report, High Speed Institute of China Aerodynamic Research and Development Center, 2012

    Google Scholar 

  25. Li Q C, Zhao Z L, Yang H Y, et al. Experimental Studies of Free Rolling Motions With Large Attack Angle in FL-24 Wind Tunnel. Technical Report, High Speed Institute of China Aerodynamic Research and Development Center, 2012

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to YouDa Ye.

Additional information

Recommended by ZHOU Heng (CAS Academician)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ye, Y., Zhao, Z., Tian, H. et al. The stability analysis of rolling motion of hypersonic vehicles and its validations. Sci. China Phys. Mech. Astron. 57, 2194–2204 (2014). https://doi.org/10.1007/s11433-014-5603-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11433-014-5603-1

Keywords

Navigation