Method of estimating the dangerous range of transonic numbers M of the flight of supersonic aircraft and aerospace systems

1Safronov, OV, 1Semon, BY, 1Nedilko, OM, 1Bodryk, YG
1The National Defence University of Ukraine named after Ivan Cherniakhovsyi, Kyiv, Ukraine
Space Sci. & Technol. 2023, 29 ;(6):042-050
https://doi.org/10.15407/knit2023.06.042
Publication Language: Ukrainian
Abstract: 
Ensuring flight safety of supersonic aircraft and aerospace systems in the transonic range of flight M numbers still remains an actual scientific and applied problem. This is due to the occurrence of various dangerous aeroelasticity phenomena in these flight modes. Such phenomena include transonic flutter, the occurrence of which has repeatedly resulted in the destruction of aircraft structural elements and, first of all, of aerodynamic control surface structural elements.
          Many publications are devoted to the theoretical and experimental research of this phenomenon, in which various approaches are proposed to substantiate the causes of intense oscillations of the aerodynamic control surfaces of modern supersonic aircraft in these flight modes, the conditions of their occurrence, the influence of various factors on the level of oscillations.
It is noted that there are still no reliable theoretical methods for estimating the non-stationary forces of aerodynamic control surfaces that oscillate in a transonic flow, so the use of linear mathematical similarity models does not always allow transferring the results of blowing models in wind tunnels to full-scale aircraft designs.
            The paper proposes a method for estimating the dangerous range of M numbers in which transonic flutter of the aerodynamic control surfaces of supersonic aircraft and aerospace systems is possible. The method is based on the analysis of regularities of the adiabatic expansion of the local supersonic air flow on the surface of the airfoil in the range of transonic numbers M.
           Calculations have proven that for typical aerodynamic surfaces of modern supersonic aircraft, the occurrence of transonic flutter is possible in a narrow range of numbers M = 0.9…0.94.
          The obtained results can be used to substantiate the safe flight modes of supersonic aircraft both at the stage of flight tests and at the stage of operation.
         Further studies of this problem should be devoted to the analysis of methods for reducing the level of oscillations of aerodynamic control surfaces when transonic flutter occurs.
Keywords: aerodynamic control surface, aerodynamic profile, flight number M, local supersonic flow, mathematical model, oscillations, supersonic aircraft, transonic flutter
References: 

1. Abramovich G. N. Applied gas dynamics. M.: Nauka, 1976. 888 p.

2. Ageev Yu. I., Nazarenko V. V., Nevezhina T. P. Experimental study of steady-state oscillations aileron in transonic flow. Scientific notes from TsAGI. 1974. 5, no. 8. pp. 71-80.

3. Aerodynamic study of an oscillating control surface at transonic speeds. M.: TsAGI, 1975. Review No. 456. 105 p.

4. Bisplinghoff R.L., Ashley H., Halfman R.L. Aeroelasticity. M.: Foreign publishing house. Literary, 1958. 800 p.

5. Williams M. H. Theory of unsteady motion of a thin profile in a transonic flow with internal shock waves. RTK. 1980. 18, no. 7. pp. 11-23.
https://doi.org/10.2514/3.50797

6. Goshek I. Aerodynamics of high speeds. M., 1954. 547 p.

7. Foreign military equipment. Foreign military review. 1996. No. 5. P. 58-62.

8. Isogai K. On the mechanism of a sharp decrease in the flutter boundary of a forward-swept wing in the transonic mode kovy flight. Part 1. RTK. 1979. 17, no. 7. pp. 149-151.
https://doi.org/10.2514/3.61226

9. Isogai K. On the mechanism of a sharp decrease in the flutter boundary of a forward-swept wing in the transonic mode kovy flight. Part 2. RTK. 1981. 19, no. 10. pp. 169-171.

10. Ishmuratov F.Z., Kuzmina S.I., Mosunov V.A. Computational studies of transonic flutter. Scientists for TsAGI squeaks. 1999. 30, no. 3-4. pp. 151-163

11. Kuzmina S.I. Computational studies of transonic aircraft flutter. Scientific notes from TsAGI. 1989. 20, no. 6. pp. 110-115.

12. Levkin V.F. Experimental studies of non-stationary aerodynamic characteristics of surfaces control systems at transonic speeds. Tr. TsAGI. 1982. Issue. 2132. 16 p.

13. Mosunov V. A., Ryabykina R. V., Smyslov V. I., Frolov A. Experience in computational studies of unmanned flutter aircraft. Bulletin of the Concern VKO "Almaz-Antey". 2018. No. 2. P. 18-25.
https://doi.org/10.38013/2542-0542-2018-2-18-25

14. Safronov A.V. Transonic flutter of aircraft structures. K.: KVVAIU, 1987. 155 p.

15. Safronov A.V. Aerodynamic effect of shock waves on an oscillating transonic flow aileron. Scientific notes from TsAGI. 1991. 22, no. 3. pp. 110-117.

16. Safronov O. V., Nedilko O. M., Safronov V. O. Adapted mathematical model for assessing the activation of hinges moments of aerodynamic surfaces of supersonic airfoils on transonic airfoils. Zb.

Sci. prats CVSD NUOU. 2014. No. 3(52). pp. 28-33.
https://doi.org/10.18052/www.scipress.com/ILCPA.33.28

17. Svishchev G.P. Efficiency of the steering wheel and its hinge moments at high speeds. Tr. TsAGI. 1975. Issue. 1722. 10 p.

18. Semon B. Y., Safronov O. V., Nedilko O. M. Transonic flutter: from MiG-25 to Space Ship Two. Science and defense. 2016. No. 3. P. 32-35.

19. Semon B.Y., Safronov O.V., Nedilko O.M. Method for estimating the pressure of a supersonic flow on a profillet of the aerodynamic surface of the caravan with the appearance of a transonic flutter. Science and defense. 2019. No. 2. pp. 39-43.