Научная статья на тему 'Reckoning technique of passenger airplane approach procedure in case of all main engines failure'

Reckoning technique of passenger airplane approach procedure in case of all main engines failure Текст научной статьи по специальности «Строительство и архитектура»

CC BY
3553
94
i Надоели баннеры? Вы всегда можете отключить рекламу.
Ключевые слова
flight dynamics / aircraft engines failure / modeling / piloting / special case in flight / динамика полета / отказ двигателя самолета / моделирование / пилотирование / особый случай в полете

Аннотация научной статьи по строительству и архитектуре, автор научной работы — Mikhail A. Kiselev, Sergey V. Levitsky, Vladimir A. Podobebov

Cases of failure (shutdown) of all the main engines of a multi-engine powerplant in flight, unfortunately, occur both in Russia and abroad. The causes of such situations may be, for example, a flying in volcanic ash cloud, as in the case of the incident with Boeing 747 over the island of Java in 1982, or the cessation of fuel supply, as in the cases of an emergency landing of Boeing 767-233 in 1983 on an unused military airfield Gimlii and Tupolev-204 in Omsk in 2002. At the same time, in the management documentation, the crew’s actions for this case are either not prescribed at all, or spelt out so concisely that they do not imply a specific list of actions, or, in other words, they require the crew to search for the necessary aircraft control actions within the circumstances of time shortage and increased stress levels. The proposed article reveals the content of the methodology that provides for the withdrawal of an aircraft with an inoperative power plant in a safe landing environment at every airfield with an outer marker. A distinctive feature of the considered approach is the absence of the need to bind the parameters of aircraft movement to explicitly stated landmarks. In addition, this approach is simple to implement and at the present stage of development of automatic control systems may well be implemented on board an aircraft in an automatic or director mode. The minimum information required for the calculation of the landing approach is limited to three parameters: the minimum drag airspeed in the landing configuration, the height of the flight over an outer marker before the landing and the height loss on turn spiral on the prelanding manoeuvre. The content of the method in the article is illustrated by the results of the calculation of landing in case of failure of both engines of the power plant for the prospective domestic short-medium-range aircraft MS-21.

i Надоели баннеры? Вы всегда можете отключить рекламу.
iНе можете найти то, что вам нужно? Попробуйте сервис подбора литературы.
i Надоели баннеры? Вы всегда можете отключить рекламу.

МЕТОДИКА РАСЧЕТА ЗАХОДА НА ПОСАДКУ ПАССАЖИРСКОГО САМОЛЕТА ПРИ ОТКАЗЕ ВСЕХ МАРШЕВЫХ ДВИГАТЕЛЕЙ

Случаи отказа (выключения) всех маршевых двигателей многодвигательной силовой установки в полете, к сожалению, происходят как в России, так и за ее пределами. Причиной таких ситуаций может быть, например, попадание в облако вулканического пепла, как в случае с инцидентом с Boeing 747 над островом Ява в 1982 году, или прекращение подачи топлива, как в случаях аварийной посадки Boeing 767-233 в 1983 году на неиспользуемый военный аэродром Гимлии и аварийной посадки Ту-204 на аэродром в Омске в 2002 году. В то же время в руководящей документации действия экипажа для этого случая или не прописаны вовсе, или прописаны настолько сжато, что не предполагают конкретного перечня действий, или, другими словами, требуют от экипажа в условиях дефицита времени и повышенной психофизиологической нагрузки самостоятельного поиска необходимых действий в части управления воздушным судном (ВС). В предлагаемой статье раскрывается содержание методики, обеспечивающей вывод самолета с неработающей силовой установкой в безопасные условия посадки на любой аэродром с дальним приводным радиомаяком (ДПРМ). Отличительная особенность рассматриваемого подхода заключается в отсутствии необходимости привязки параметров движения ВС к заранее заданным наземным ориентирам. Кроме того, указанный подход прост в реализации и на современном этапе развития систем автоматического управления вполне может быть реализован на борту ВС в автоматическом или директорном режимах. Минимальная информация, необходимая для осуществления расчета захода на посадку, ограничивается тремя параметрами: наивыгоднейшей скоростью полета в посадочной конфигурации, высотой пролета ДПРМ перед посадкой и шагом спирали на высоте предпосадочного маневрирования. Содержание метода в статье иллюстрируется результатами расчета захода на посадку перспективного отечественного ближне-среднемагистрального ВС МС-21 при отказе обоих двигателей.

Текст научной работы на тему «Reckoning technique of passenger airplane approach procedure in case of all main engines failure»

Vol. 22, No. 04, 2019

Ovil Aviation High Technologies

UDC 629.7.015

DOI: 10.26467/2079-0619-2019-22-4-91-99

RECKONING TECHNIQUE OF PASSENGER AIRPLANE APPROACH PROCEDURE IN CASE OF ALL MAIN ENGINES FAILURE

M.A. KISELEV1, S.V. LEVITSKY2, V.A. PODOBEDOV2

Moscow State Technical University of Civil Aviation, Moscow, Russia 2 JSC Irkut Corporation, Moscow, Russia

Cases of failure (shutdown) of all the main engines of a multi-engine powerplant in flight, unfortunately, occur both in Russia and abroad. The causes of such situations may be, for example, a flying in volcanic ash cloud, as in the case of the incident with Boeing 747 over the island of Java in 1982, or the cessation of fuel supply, as in the cases of an emergency landing of Boeing 767-233 in 1983 on an unused military airfield Gimlii and Tupolev-204 in Omsk in 2002. At the same time, in the management documentation, the crew's actions for this case are either not prescribed at all, or spelt out so concisely that they do not imply a specific list of actions, or, in other words, they require the crew to search for the necessary aircraft control actions within the circumstances of time shortage and increased stress levels. The proposed article reveals the content of the methodology that provides for the withdrawal of an aircraft with an inoperative power plant in a safe landing environment at every airfield with an outer marker. A distinctive feature of the considered approach is the absence of the need to bind the parameters of aircraft movement to explicitly stated landmarks. In addition, this approach is simple to implement and at the present stage of development of automatic control systems may well be implemented on board an aircraft in an automatic or director mode. The minimum information required for the calculation of the landing approach is limited to three parameters: the minimum drag airspeed in the landing configuration, the height of the flight over an outer marker before the landing and the height loss on turn spiral on the pre-landing manoeuvre. The content of the method in the article is illustrated by the results of the calculation of landing in case of failure of both engines of the power plant for the prospective domestic short-medium-range aircraft MS-21.

Key words: flight dynamics, aircraft engines failure, modeling, piloting, special case in flight.

INTRODUCTION

The powerplant of most passenger aircraft comprises two main engines, as a rule they are bypass turbojets or turboprops. The actions of the flight deck crew in case of one engine failure at different stages of flight and within different operating conditions are prescribed by the actual circulars and governing documents1 and have been subjected to a detailed research in a great number of papers [1-6]. The multiple engine failure is considered to be of minimum likelihood. However, the history of aviation spells the intimidating degree of even the least likely incidents occurrence. What are the crew members supposed to do in such a situation? The AFM (Aircraft Flight Manual) instructions for multiple engine failure state:

1) Adjust speed to provide the maximum gliding distance in accordance with the aircraft aerodynamic configuration

2) Proceed using the algorithm of altitude adjustment depending on the distance to the aerodrome chosen for the landing (the method of fixes/checkpoints)

However, the AFM does not mention the ways of this particular algorithm implementation, and the success of the flight in this case depends on the captain's intuition, skills and, to a great extent, on his bare luck.

1 Aviatsionnyye pravila. Ch. 25. Normy letnoy godnosti grazhdanskikh samoletov trasportnoy kategorii [Aviation Rules.

Part 25. Civil airworthiness requirements for transport category airplanes]. (2013). Mezhgosudarstvennyy aviatsionnyy komitet [Interstate Aviation Committee]. Moscow: Aviaizdat, 266 p. (in Russian)

Ovil Aviation High Technologies

Vol. 22, No. 04, 2019

RESERCH METODS AND METODOLOGY

In military aviation, where a considerable number of combat aircraft are equipped with a single-engine powerplant, the problem of engine failure landing was solved in the eighties of the twentieth century. The team of researchers from the Flight Dynamics Laboratory of Zhukovski Aviation Academy led by Professor Radchenko M. I. developed the reference height method for single engine combat aircraft. The method is listed in the AFMs of a number of military single engine aircraft.

The main feature of the method (reference height method) is that it does not require the knowledge of landmarks or ground fixes and allows to land the airplane at the nearest airport available considering it has the locator outer marker. In other words, the reference height method allows to reckon approach and land the aircraft with the multiple engine failure having no visible landmarks in sight.

The essence of the method is as follows (Figure 1).

In case of the powerplant failure the pilot adjusts the aircraft speed as the most favourable for this particular type, turns and banks the aircraft at 30° towards the outer marker in order to pass it with the course closer to the runway heading - ¥land.

When passing the outer marker, the pilot makes a fix of the initial height (Hinit) and makes a 180° turn from the landing course and then makes a straight-in descent to reach the reference height (Href).

Upon reaching the reference height the aircraft turns final and makes a runway alignment to reach the best height over the outer marker (Houter).

The minimum safe height for this approach procedure is determined by the height loss on turn spiral within the landing configuration. The initial height over the outer marker must not be below Hmin, which is calculated as

Where Houter is the height the aircraft must have over the outer marker on final to touchdown at the given point of the runway, Hsp is the height loss on turn spiral with the 30° bank angle at given speed.

The reference height approach method is possible from any height H > Hnill1 However, the more Hmt is, the farther is the distance of the point of Href from the airdrome. At the same time, the longer is the approach trajectory, the more is the difference in the radius and the height loss at turning downwind and

RWY

Fig. 1. Approach procedure according to the reference height method

Vol. 22, No. 04, 2019

Ovil Aviation High Technologies

crosswind, the reckoning fault level increases, the wind influence becomes more significant, and, accordingly, the approach precision decreases. Thus, there is an optimum range of heights, the initial landing maneuver height must fit into - H^t. The top of this range is limited by Hmax, which is calculated as

Hmax Hmin + Hsp.

If the height during the first entry onto the outer marker is substantially above that of Hmax, then immediately after passing the outer marker the pilot should turn spiral with the bank angle of 30° at the given speed. After the spiral turn the height over the marker must be reviewed, and in case if fits the range of Hmin and Hmax, the landing maneuver may be executed. The landing configuration must be obtained before entering the outer marker.

Thus, to make a multiple engine failure landing, the pilot must follow the procedure sequence

1) At the moment of passing the outer marker remember the Hinit and enter the 180° turn from the RWY heading with y = 30° at the given speed;

2) While performing a 180° turn calculate the reference height using the formula Href = 0.5 (Hinit + Houter);

3) Having finished the 180° turn, glide with the course opposite to the RWY heading to reach

Href;

4) Having reached Href, turn base and final for RWY alignment.

The diagram of multiple engine failure approach is shown in Figure 2.

Fig. 2. Approach manoeuvre

The maneuver comprises four legs:

- Turn ¥land+ 180° with height loss equal to 0.5 Hsp

- Straight-in descent to the height AHdesc till reaching Href

- Turn ¥land with height loss equal to 0.5 Hsp

- Straight-in descent to the height AHdesc till reaching Houter

When approaching from the minimum height the straight-in descent leg is absent (AHdesc = 0).

RESEARCH RESULTS

Let us illustrate the application of the method using, for instance, the multiple engine failure landing approach procedure of the prospect Russian short/medium range airplane MS-21.

Ovil Aviation High Technologies

Vol. 22, No. 04, 2019

It is obvious, that to calculate Hmin it is reasonable to choose the aircraft landing configuration with minimum flap angle (Sf = 10°, landing gear down (GD)) as it will provide the best aerodynamic performance for HLD extended, and, as follows, the longer gliding distance. The optimum speed for the spiral in this case will be Vind = 260...265 km/h, the climb angle will be 0desc = -6.5...-7° and the sink rate Vy desc = -8.-9 m/sec. The height loss on turn spiral will be Hsp = 700 m and the bank angle during 180° turn will be 2000 m. Accordingly, the minimum height for multiple engine failure landing of MS-21 will be Hmin ~ 1200 m. Having made a spiral turn from Hmin, the aircraft will be over the outer marker at approximately 500 m, which is good enough for a successful landing. The projection of the spiral path on the vertical and horizontal planes is shown in Figures 3 and 4.

Vol. 22, No. 04, 2019

Ovil Aviation High Technologies

Thus, the parameters to be controlled during the multiple engine failure landing for MS-21 within the landing configuration (Sf = 10°, GD) are as follows:

- Optimum spiral turn speed Vind = 260.. .265 km/h;

- Height loss during 180° turn 0.5-Hsp ~ 350 m

- Minimum height Hmin = Houter + 700 m;

- Maximum height Hmax = Hmin + 700 m.

It is necessary to notice, that in order to compensate the possible errors and the head wind component the minimum height may be increased by 100.200 m.

For the tail wind component or in case the height is exceeded, the trajectory may be amended by means of increasing the flap angle.

The Figures 5, 6 and 7 below show the aircraft travel parameters during the final stage of flight from passing the outer marker to touchdown at three HLD (flap) angle configurations Sf = 10°; Sf = 18°; Sf = 27°.

Fig. 5. The change in the height of the pre-landing reduction in distance from the outer marker

Время, с

Fig. 6. Climbing angle at the pre-landing descent stage

Civil Aviation High Technologies

Vol. 22, No. 04, 2019

Fig. 7. Descent rate at the pre-landing descent stage

As the results show, the aircraft must have the following parameters of height and equivalent speed to make a safe landing:

- at Sf = 10° - Ho = 470 m, Vo = 255 km/h;

- at Sf = 18° - Ho = 500 m, Vo = 250 km/h;

- at Sf = 27° - H0 = 550 m, V0 = 250 km/h.

The given parameters allow to make a final of 5 km and to start alignment at the height Halign = 30.45 m which later result in the following touchdown parameters:

- at Sf = 10° - atouch. = 11,0°, Vtouch. = 239 km/h;

- at Sf = 18° - atouch. = 10,8°, Vtouch. = 233 km/h;

- at Sf = 27° - atouch = 10,0°, Vtouch = 218 km/h.

Normal acceleration is maintained during the alignment procedure ny align = 1,06.1,08.

The estimate of MS-21 parameters at engines inoperative was executed using mathematical modeling of aircraft flight dynamics [9].

To check the mathematical model adequacy, the results of spiral turns modeling were compared to the actual flight data. Table 1 shows the comparison results of spiral turns within the cruising configuration at initial altitude of 10 km.

Modes 1 and 2 show the steady-state spirals at "engines at idle" mode. Mode 3 imitates the flight with the engines shut down. Wind milling (autorotation) regime imitation is obtained by means of "engines at idle" mode together with H spoiler extension at travel. Flight mode 3 is compared with spiral turns modeling at engines inoperative. The results of modeling provide a slightly bigger height loss. At the same time, the error rate is within 6%.

Table 1

Parameters of steady-state spirals

№ Y, G, Hinit., Vnp., Hsp flight, Hsp modeb Ahsp., Ahsp., Ahsp.,

mode degrees. thrust specific ft kt ft ft ft m %

fuel consumption

1 20 56123 33043 212 9543 9843 +300 +91 3,1

2 30 53893 33022 199 6082 6430 +348 +106 5,7

3 30 53543 32894 205 7193 7536 +343 +104 4,8

Vol. 22, No. 04, 2019

Civil Aviation High Technologies

Here hsp fiight - spiral turn height obtained in flight;

hsp model - spiral turn height obtained from modeling;

Ahsp hsp model — h sp flight.

The modelling results prove the high degree of wind milling imitation precision by means of combining the "engines at idle" mode together with H spoiler extension at travel. The spiral turn height increase at spoiler extension was 1111 ft (the comparison of flight modes 2 and 3), the increase in spiral turn height at shut down engines was 1106 ft according to the modelling results.

The table shows that the decrease of the bank angle from 30 to 20° increases the radius and the spiral turn height more than 1.5 times. Accordingly, it is recommended to have a bank angle of y = 30° when reckoning a multiple engine failure landing procedure.

THE RESULTS EVALUATION AND CONCLUSION

As the obtained results show, the technique evaluated in the paper allows a simple algorithm of the flight deck crew actions in case of a multiple engine failure that leads to a safe landing at any airfield equipped with an outer marker localizer with no need in explicitly stated visible landmarks. The minimum information required for the calculation of the landing approach is limited to three parameters: the minimum drag airspeed in the landing configuration, the height of the flight over an outer marker before the landing and the height loss on turn spiral on the pre-landing maneuver.

The present-day level of control systems automation [10, 11] allows to delegate the task of reference height method calculation within the automatic or directory flight control modes.

REFERENCES

iНе можете найти то, что вам нужно? Попробуйте сервис подбора литературы.

1. Kiselevich, V.G., Petrov, Yu.V. and Tsipenko, V.G. (2015). Analiz osobennostey letnoy ekspluatatsii samoleta IL-96T na vzlete pri otkaze dvigatelya po rezultatam vychislitelnykh eksperi-mentov [Analysis of the characteristics of the flight operation of the Il-96T at take-off in case of an engine failure based on the results of computational experiments]. XXVInauchno-tekhnicheskaya konfer-entsiya po aerodinamike, g. Zhukovskiy, 26-27 fevralya 2015 g.: sb. trudov [XXVI Scientific and Technical Conference on Aerodynamics], pp. 133-134. (in Russian)

2. Kiselevich, V.G., Kublanov, M.S., Tsipenko, V.G. and Chernigin, K.O. (2014). Raz-rabotka rekomendatsiy po letnoy ekspluatatsii samoleta IL-96Tpri otkaze dvigateley na vzlete [Development of flight operation recommendations of IL-96T aircraft with engine failure on takeoff]. Nauch-nyy vestnik UVAU GA(I) [The Scientific Bulletin of the Ulyanovsk Civil Aviation Institute], vol. 6, pp. 17-23. (in Russian)

3. Kiselevich, V.G., Kublanov, M.S. and Tsipenko, V.G. (2013). Modelirovaniye zakhoda na posadku i posadki samoleta IL-76 s razlichnymi posadochnymi massami i pri otkaze dvigateley [Simulation of landing approach and landing of an IL-76 aircraft with various landing masses and in the case of an engine failure]. The Scientific Bulletin of the Moscow State Technical University of Civil Aviation, no. 188, pp. 7-9. (in Russian)

4. Kiselevich, V.G. (2015). The development of flight operation recommendations for IL-96T at interrupted take-off. The Scientific Bulletin of the Moscow State Technical University of Civil Aviation, no. 211, pp. 79-84. (in Russian)

5. Kiselevich, V.G. (2015). Reculiarities of IL-96T flight operation at prolonged take-off. The Scientific Bulletin of the Moscow State Technical University of Civil Aviation, no. 211, pp. 128-131. (in Russian)

6. Tikhonov, D.V. and Tikhonov, V.N. (2015). Forecast of flight severity situation with an engine failure on the ascending maneuvers based on computational-experimental data and expert

Civil Aviation High Technologies

Vol. 22, No. 04, 2019

judgment. The Scientific Bulletin of the Moscow State Technical University of Civil Aviation, no. 212, pp. 90-97. (in Russian)

7. Kotel'nikov, G.N., Lysenko, N.M. and Radchenko, M.I. (1989). Dinamika i bezopasnost poletov [Dynamics and safety of flights]. Kiev: Vyshcha shkola, 332 p. (in Russian)

8. Aerodinamika i dinamikapoleta manevrennykh samoletov [Aerodynamics and flight dynamics of a maneuverable aircraft]. (1984). Ed. N.M. Lysenko. Moscow: Voyenizdat, 541 p. (in Russian)

9. Levitskiy, S.V. and Sviridov, N.A. (2008). Dinamika poleta [Flight dynamics]. Moscow: VVIA im. prof. N.Ye. Zhukovskogo, 527 p. (in Russian)

10. Aloshin, B.S., Bazhenov, S.G., Didenko, Yu.I. and Shelyukhin, Yu.F. (2013). Sistemy distantsionnogo upravleniya magistralnykh samoletov [Remote control systems for long-haul aircraft]. Moscow: Nauka, 292 p. (in Russian)

11. Kiselev, M.A. (2007). An algorithm of an aircraft turn executed with maximum angular velocity. Journal of Computer and Systems Sciences International, vol. 46, no. 5, pp. 815-825.

INFORMATION ABOUT THE AUTHORS

Mikhail A. Kiselev, Doctor of Technical Sciences, Professor, Head of the Aerodynamics, Design and Strength of Aircraft Chair, Moscow State Technical University of Civil Aviation, m.kiselev@mstuca.aero.

Sergey V. Levitsky, Doctor of Technical Sciences, Professor, Lead Design Engineer, JSC Irkut Corporation, flamento@yandex.ru.

Vladimir A. Podobebov, Doctor of Technical Sciences, Professor, Deputy Chief Designer -Head of Aerodynamics, JSC Irkut Corporation, Vladimir.Podobedov@irkut.com.

МЕТОДИКА РАСЧЕТА ЗАХОДА НА ПОСАДКУ ПАССАЖИРСКОГО САМОЛЕТА ПРИ ОТКАЗЕ ВСЕХ МАРШЕВЫХ ДВИГАТЕЛЕЙ

12 2 М.А. Киселев , С.В. Левицкий , В.А. Подобедов

1 Московский государственный технический университет гражданской авиации,

г. Москва, Россия

2 Публичное акционерное общество «Научно-производственная

корпорация "Иркут"», г. Москва, Россия

Случаи отказа (выключения) всех маршевых двигателей многодвигательной силовой установки в полете, к сожалению, происходят как в России, так и за ее пределами. Причиной таких ситуаций может быть, например, попадание в облако вулканического пепла, как в случае с инцидентом с Boeing 747 над островом Ява в 1982 году, или прекращение подачи топлива, как в случаях аварийной посадки Boeing 767-233 в 1983 году на неиспользуемый военный аэродром Гимлии и аварийной посадки Ту-204 на аэродром в Омске в 2002 году. В то же время в руководящей документации действия экипажа для этого случая или не прописаны вовсе, или прописаны настолько сжато, что не предполагают конкретного перечня действий, или, другими словами, требуют от экипажа в условиях дефицита времени и повышенной психофизиологической нагрузки самостоятельного поиска необходимых действий в части управления воздушным судном (ВС). В предлагаемой статье раскрывается содержание методики, обеспечивающей вывод самолета с неработающей силовой установкой в безопасные условия посадки на любой аэродром с дальним приводным радиомаяком (ДПРМ). Отличительная особенность рассматриваемого подхода заключается в отсутствии необходимости привязки параметров движения ВС к заранее заданным наземным ориентирам. Кроме того, указанный подход прост в реализации и на современном этапе развития систем автоматического управления вполне может быть реализован на борту ВС в автоматическом или директорном режимах. Минимальная информация, необходимая для осуществления расчета захода на посадку, ограничивается тремя параметрами: наивыгоднейшей скоростью полета в посадочной конфигурации, высотой пролета ДПРМ перед посадкой и шагом спирали на высоте предпосадочного маневрирования.

Vol. 22, No. 04, 2019

Civil Aviation High Technologies

Содержание метода в статье иллюстрируется результатами расчета захода на посадку перспективного отечественного ближне-среднемагистрального ВС МС-21 при отказе обоих двигателей.

Ключевые слова: динамика полета, отказ двигателя самолета, моделирование, пилотирование, особый случай в полете.

СПИСОК ЛИТЕРАТУРЫ

1. Киселевич В.Г., Петров Ю.В., Ципенко В.Г. Анализ особенностей летной эксплуатации самолета Ил-96т на взлете при отказе двигателя по результатам вычислительных экспериментов // XXVI научно-техническая конференция по аэродинамике, г. Жуковский, 26-27 февраля 2015 г.: сб. трудов. 2015. С. 133-134.

2. Киселевич В.Г. Разработка рекомендаций по летной эксплуатации самолета Ил-96т при отказе двигателей на взлете / М.С. Кубланов, В.Г. Ципенко, К.О. Чернигин // Научный вестник УВАУ ГА(И). 2014. Т. 6. С. 17-23.

3. Киселевич В.Г., Кубланов М.С., Ципенко В.Г. Моделирование захода на посадку и посадки самолета Ил-76 с различными посадочными массами и при отказе двигателей // Научный Вестник МГТУ ГА. 2013. № 188. С. 7-9.

4. Киселевич В.Г. Разработка рекомендаций по летной эксплуатации самолета Ил-96Т при прерванном взлете // Научный Вестник МГТУ ГА. 2015. № 211. С. 79-84.

5. Киселевич В.Г. Особенности летной эксплуатации самолета Ил-96Т при продолженном взлете // Научный Вестник МГТУ ГА. 2015. № 211. С. 128-131.

6. Тихонов Д.В., Тихонов В.Н. Прогноз степени опасности полетной ситуации при отказе двигателя на восходящих маневрах на основе расчетно-экспериментальных данных и экспертной оценки // Научный Вестник МГТУ ГА. 2015. № 212. С. 90-97.

7. Котельников Г.Н., Лысенко Н.М., Радченко М.И. Динамика и безопасность полетов. Киев: Выща школа, 1989. 332 с.

8. Аэродинамика и динамика полета маневренных самолетов: учебник / под ред. Н.М. Лысенко. М.: Воениздат, 1984. 541 с.

9. Левицкий С.В., Свиридов Н.А. Динамика полета. М.: ВВИА им. проф. Н Е. Жуковского, 2008. 527 с.

10. Алешин Б.С. Системы дистанционного управления магистральных самолетов / С.Г. Баженов, Ю.И. Диденко, Ю.Ф. Шелюхин. М.: Наука, 2013. 292 с.

11. Киселев М.А. Алгоритм автоматизации разворота самолета, выполняемого с максимальной угловой скоростью // Известия РАН. Теория и системы управления. 2007. № 5. С.150-160.

СВЕДЕНИЯ ОБ АВТОРАХ

Киселев Михаил Анатольевич, доктор технических наук, профессор, заведующий кафедрой аэродинамики, конструкции и прочности летательных аппаратов МГТУ ГА, m.kiselev@mstuca.aero.

Левицкий Сергей Владимирович, доктор технических наук, профессор, ведущий инженер-конструктор ПАО «Корпорация "Иркут"», flamento@yandex.ru.

Подобедов Владимир Александрович, доктор технических наук, профессор, заместитель главного конструктора - начальник отделения аэродинамики ПАО «Корпорация "Иркут"», Vladimir.Podobedov@irkut.com.

Поступила в редакцию 26.04.2019 Received 26.04.2019

Принята в печать 23.07.2019 Accepted for publication 23.07.2019

i Надоели баннеры? Вы всегда можете отключить рекламу.