Mathematical Models of Transonic Flatter of Aerody-namic Control Surfaces of Supersonic Aircraft
DOI:
https://doi.org/10.3849/aimt.01543Keywords:
aerodynamic control surface, Mach number, mathematical model, oscillations, supersonic aircraft, transonic flutterAbstract
In the article, the joint analysis of the Bernoulli equations for compressed gas, variations of the supersonic flow parameters of the Prandtl-Meyer expansion fan and the hypothesis of aerofoil dynamic curvature were used to develop a linear and a nonlinear mathematical models describing the occurrence of transonic flutter of aerodynamic control surfaces of supersonic aircraft. The analysis of the obtained mathematical models confirms a theoretical possibility of the occurrence of transonic flutter of aerodynamic control surfaces of supersonic aircraft that is due to the peculiarities of the interaction of shock waves with the angular velocity of elastic bending oscillations of aerodynamic control surfaces.
References
KELDYSH, M.V. Selected Works. Mechanics (in Russian). Moscow: Nauka, 1985.
BISPLINGHOFF, R.L., H. ASHLEY and R.L. HALFMAN. Aeroelasticity. Mineola: Dover Publications, 1996. ISBN 978-0-486-69189-3.
KLYACHKO, M.D. and E.V. ARNAUTOV. Flight Strength Tests of Aircraft. Dynamic Loads (in Russian). Moscow: Mashinostroenie, 1984.
Aerodynamic Study of an Oscillating Control Surface at Transonic Speeds. Review No. 456 (in Russian). Moscow: TsAGI, 1975.
LEVKIN, V.F. Experimental Studies of Non-Stationary Aerodynamic Characteristics of Control Surfaces at Transonic Speeds (in Russian). Moscow: TsAGI, 1982.
SAFRONOV, A.V. Transonic Flutter of Aircraft Structures (in Russian). Kiev: KVVAIU, 1987.
AGEEV, Yu.I., V.V. NAZARENKO and T.P. NEVEZHINA. Experimental Study of the Dynamic Stability of Ailerons at Transonic Speeds (in Russian). Moscow: TsAGI, 1971.
ISOGAI, K. On the Transonic-Dip Mechanism of Flutter of a Sweptback Wing. AIAA Journal, 1979, 17(7), pp. 793-795. DOI 10.2514/3.61226.
ISOGAI, K. Transonic Dip Mechanism of Flutter of a Sweptback Wing. II. AIAA Journal, 1981, 19(9), pp. 1240-1242. DOI 10.2514/3.7853.
WILLIAMS, M.H. Unsteady Thin Airfoil Theory for Transonic Flows with Embedded Shocks. AIAA Journal, 1980, 18(6), pp. 615-624. DOI 10.2514/3.50797.
TRACI, R.M., E.D. ALBANO and J.L. FARR, Jr. Perturbation Method for Transonic Flows about Oscillating Airfoils. AIAA Journal, 1976, 14(9), pp. 1258‑1265. DOI 10.2514/3.61459.
ISHMURATOV, F.Z., S.I. KUZ’MINA and V.A. MOSUNOV. Computational Studies of Transonic Flutter (in Russian). Uchenye Zapiski TsAGI, 1999, 30(3-4), pp. 151-163. ISSN 0321-3439.
MOSUNOV, V.A., R.V. RYABYKINA, V.I. SMYSLOV and A.V. FROLOV. Experience of Computational Research on the Flutter of an Unmanned Aerial Vehicle. Journal of «Almaz – Antey» Air and Space Defence Corporation, 2018, 2, pp. 18-25. DOI 10.38013/2542-0542-2018-2-18-25.
GARRICK, I.E. Aeroelasticity-Frontiers and Beyond. Journal of Aircraft, 1976, 13(9), pp. 641-657. DOI 10.2514/3.58696.
SAFRONOV, A.V. The Level of Oscillations of Aerodynamic Control Surfaces under Attached Transonic Flow (in Russian). Problemy Prochnosti, 1991, 4, pp. 51-55. ISSN 0556-171X.
SAFRONOV, A.V. Conditions for the Occurrence of Self-Oscillations of Aerodynamic Control Surfaces under Attached Transonic Flow (in Russian). Problemy Prochnosti, 1990, 2, pp. 50-55. ISSN 0556-171X.
SAFRONOV, A.V. Aerodynamic Effect of Shock Waves on the Aileron Oscillating in Transonic Flow (in Russian). Uchenye Zapiski TsAGI, 1991, 22(3), pp. 110-117. ISSN 0321-3439.
SEMON, B.Y., O.V. SAFRONOV and O.M. NEDILKO. Transonic Flutter: from MIG-25 to SpaceShip Two (in Ukrainian). Science & Defence, 2016, 3, pp. 32‑35. ISSN 2618-1614.
ABRAMOVICH, G.N. Applied Gas Dynamics (in Russian). Moscow: Nauka, 1991. ISBN 978-5-02-014961-8.
HOSEK, J. High-Speed Aerodynamics (in Russian). Moscow: Izdatel’stvo Inostrannoj Literatury, 1954.
TIMOSHENKO, S.P. Vibration Problems in Engineering (in Russian). 2nd ed. Moscow: Nauka, 1967. ISBN 978-5-458-33930-8.
Aerodynamics of Aircraft at Transonic Speeds. Review No. 442 (in Russian). Moscow: TsAGI, 1974.
SAFRONOV, O.V., B.Y. SEMON and O.M. NEDILKO. Comparative Analysis of Theoretical and Computational-Experimental Methods for Evaluating the Characteristics of Transonic Flutter (in Ukrainian). Collection of the Scientific Papers of the Centre for Military and Strategic Studies of the National Defence University of Ukraine named after Ivan Cherniakhovskyi, 2015, 1(53), pp. 41-48. ISSN 2304-2699.
SAFRONOV, O.V., B.Y. SEMON and O.M. NEDILKO. A Method for Estimating the Change in Pressure of Local Supersonic Flow on the Control Surface Aerofoil under Transonic Flatter (in Ukrainian). Science & Defence, 2019, 2, pp. 39-43. DOI 10.33099/2618-1614-2019-7-2-39-43.
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