51-71:74 Long-period oscillations of aircraft at hypersonic speeds

Sidnyaev N. I. (Bauman Moscow State Technical University), Glushkov P. A. (Bauman Moscow State Technical University)

PHUGOID OSCILLATIONS, PERIOD, STABILIZATION, DAMPING RATE, HYPERSONIC SPEED, DAMPING, ANGLE OF ATTACK, MACH NUMBER.


doi: 10.18698/2309-3684-2014-1-99114


The article presents the theoretical analysis of the long-period (phugoid) aircraft oscillations, which has a lifting force and performs a flight at hypersonic speeds in any atmosphere. Oscillations are caused by mutual transition of kinetic energy into potential energy during the flight along the path having an oscillatory character and being determined primarily by controlled longitudinal zero momentum in steady flight. The study shows that with the speed approximating to the first cosmic speed, the decrease in gravity at height dominates the decrease in density of the atmosphere, so that with increasing speed the period of phugoid oscillations tends asymptotically to the corresponding period of the satellite. During the research there were obtained analytical expressions for the short-period oscillations or vibrations at the angle of attack. The study demonstrates that these expressions, as well as the expressions for the long-period oscillations are in good agreement with numerical solutions.


[1] Kolesnikov K.S. Dinamika raket [Rocket dynamics]. Moscow, Mashinostroenie Publ., 2003, 520 p.
[2] Etkin, B. J. Aerospace Sci., no. 28, October 1961, pp.779–788.
[3] Rabinovich B.I. Vvedenie v dinamiku raket-nositelei kosmicheskikh apparatov [Introduction into spacecraft carrier rocket dynamics]. Moscow, Mashinostroenie Publ., 1975, 416 p.
[4] Mikishev G.N. Eksperimental'nye metody v dinamike kosmicheskikh apparatov [Experimental methods in spacecraft dynamics]. Moscow, Mashinostroenie Publ., 1978, 247 p.
[5] Bulavkin V.V., ed. Raketno-kosmicheskie tekhnologii [Space-rocket technolo-gies]. Moscow, Slavyanskaya shkola Publ., 2003, pp. 416–422.
[6] Krasnov N.F., ed. Upravlenie i stabilizatsiya v aerodinamike [Control and stabilization in aerodynamics]. Moscow, Vysshaya shkola Publ., 1978, 480 p.
[7] Krasnov N.F., ed. Aerodinamika raket [Rocket aerodynamics]. Moscow, Vysshaya shkola Publ., 1968, 772 p.
[8] Khalid M., Ist R.A. RTiK, 1980, vol. 18, no. 10, pp.140–142.
[9] Belotserkovsky S.M., Skripach B.K., Tabachnikov V.G. Krylo v nestatsionarnom potoke gaza [The wing in non-stationary gas flow]. Moscow, Nauka Publ., 1971, 754 p.
[10] Sidnyaev N.I. O vrashchatel'nykh proizvodnykh stupenchatykh konusov s razrushayushchimsya pokrytiem [On rotary derivative step cones with disintegrating coating]. Tezisy dokladov Vtoroi Vserossiyskoi konferentsii «Neobratimye protsessy v prirode i tekhnike», MGTU im. N.E. Baumana [Brief outline reports of the 2nd Russian conference “Irreversible processes in nature and technologies”]. Moscow, 2002, pp. 96–97.
[11] Sidnyaev N.I. Vestnik MGTU im. N.E. Baumana. Seriya Estestvennye nauki — Herald of Bauman Moscow State Technical University, Natural Science Se-ries, 2003, no. 1(10), pp. 71–87.
[12] Sidnyaev N.I. Matematicheskoe modelirovanie — Mathematical modeling, 2004, vol. 16, no. 5, pp. 55–65.
[13] Sidnyaev N.I. Izvestiya vuzov. Aviatsionnaya tekhnika — Univ. Proc. Aero-nautic engineering, 2004, no. 2, pp. 30–33.
[14] Sidnyaev N.I. Vestnik MGTU im. N.E. Baumana. Seriya Mashinostroenie — Herald of Bauman Moscow State Technical University, Engineering Series, 2006, no. 1(62), pp. 3–14.
[15] Sydniaev N.I. Prikladnaya mekhanika i tekhnicheskaya fizika — Applied me-chanics and technical physics, 2007, vol. 48, no. 2, pp. 12–20.


Sidnyaev N., Glushkov P. Long-period oscillations of aircraft at hypersonic speeds. Маthematical Modeling and Coтputational Methods, 2014, №1 (1), pp. 99-114



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