629.762 Simulating mass-consuming characteristics of power devices providing gas-dynamic ejection of the flying vehicle with setup parameters

Plyusnin A. V. (JSC MIC NPO Mashinostroyenia)

GAS-DYNAMIC EJECTION, LAUNCHER-CONTAINER, FLYING VEHICLE


doi: 10.18698/2309-3684-2017-1-5577


The article introduces and provides a rationale for the mathematical theory which defines the mass-consuming characteristics of the power devices designed for providing the gas-dynamic ejection of the flying vehicle from the launcher-container with the set-up restrictions on parameters. We present a visual geometrical interpretation of the offered method. The calculations of the gas-dynamic emission parameters and the intraballistic computation of the power device with the propellant grain operation confirm the correctness of the theoretical constructions and their practical feasibility.


[1] Zheleznyakov A.B. 100 luchshikh raket SSSR i Rossii [100 best rockets of the USSR and Russia]. Moscow, Yauza-press Publ., 2016, 152 p.
[2] Apalkov Yu.V., Mant D.I., Mant S.D. Otechestvennyye ballisticheskiye rakety morskogo bazirovaniya i ikh nositeli [National sea-launched ballistic missiles and their carriers]. St. Petersburg, Galeya Print Publ., 2006, 216 p.
[3] Morskiye strategicheskiye raketnye kompleksy [Marine strategic missile system]. Moscow, Voyennyy parad Publ., 2011, 268 p.
[4] 60 let samootverzhennogo truda vo imia mira [60 years of selfless labour for the sake of peace]. Moscow, Arms and Technologies Publ., 2004, 332 p.
[5] Degtyar V.G., Pegov V.I. Gidrodinamika podvodnogo starta raket [Hydrodynamics of the submarine missile takeoff]. Moscow, Mashinostroeniye Publ., 2009, 448 p.
[6] Konyukhov S.N., Logachev P.P. Minometnyy start mezhkontinentalnykh ballisticheskikh raket [Mortar blast-off of intercontinental ballistic missiles]. Dnepropetrovsk, National Academy of Sciences Publ., Space Agency of Ukraine Publ., Institute of Technical Mechanics Publ., design office “Yuzhnoye”, 1997, 211 p.
[7] Arzumanov Yu.L., Khalatov E.M., Chekmazov V.I., Chukanov K.P. Matematicheskiye modeli sistem pnevmoavtomatiki [Mathematical models of pneumatic control systems]. Moscow, BMSTU Publ., 2009, 296 p.
[8] Sokolovskiy M.I., Petrenko V.I., Zykov G.A., Lyanguzov S.V., Todoshchenko A.I., Popov V.L. et al. Upravlyayemyye energeticheskiye ustanovki na tverdom raketnom toplive [Controlled solid propellant power generation systems]. Moscow, Mashinostroeniye Publ., 2003, 464 p.
[9] Gladkov L.A., Kureychik V.V., Kureychik V.M., Sorokaletov P.V. Bioinspirirovannye metody v optimizatsii [Bioinspired methods of optimization]. Moscow, Fizmatlit Publ., 2009, 381 p.
[10] Dimitriyenko Yu.I., Koryakov M.N., Zakharov A.A., Stroganov A.S. Matematicheskoe modelirovaniye i chislennye metody — Mathematical Modeling and Computational Methods, 2014, no. 3 (3), pp. 3–24.
[11] Dimitriyenko Yu.I., Kulagin Yu.A., Yarmola A.P. Vestnik MGTU im. N.E. Baumana. Ser. Yestestvennye nauki. Spets. vypusk “Matematicheskoye modelirovaniye” — Herald of Bauman Moscow State Technical University, Series Natural Sciences. Spec. issue “Mathematical Modeling”, 2011, pp. 100–109.
[12] Kotenev V.P., Sysenko V.A. Matematicheskoye modelirovaniye i chislennye metody — Mathematical Modeling and Computational Methods, 2014, no. 1 (1), pp. 68–81.
[13] Plyusnin A.V., Bondarenko L.A. Vestnik MGTU im. N.E. Baumana. Ser. Yestestvennyye nauki. Spets. vypusk “Matematicheskoye modelirovaniye” — Herald of Bauman Moscow State Technical University, Series Natural Sciences. Spec. issue “Mathematical Modeling”, 2012, no. 4, pp. 111–122.
[14] Yefremov G.A., Minasbekov D.A., Modestov V.A., Strakhov A.N., Bondarenko L.A., Yakimov Yu.L., Plyusnin A.V., Krupchatnikov I.V., Sokolov P.M., Govorov V.V. Sposob imitatsii usloviy starta rakety iz podvodnoy lodki i sistema dlya yego osushchestvleniya [The way of simulating the conditions of the submarine missile takeoff and the system for its realization]. Patent RF, no. 2082936, 27.06.1997.
[15] Plyusnin A.V., Sabirov Yu.R., Bondarenko L.A., Sokolov P.M., Govorov V.V. Sposob imitatsii usloviy minometnogo starta rakety iz podvodnoy lodki i sistema dlya yego osushchestvleniya [The way of simulating the conditions of the mortar submarine missile takeoff and the system for its realization]. Patent RF, no. 2482425, 20.05.2013.
[16] Sabirov Yu.R., Plyusnin A.V., Bondarenko L.A., Bondyrev A.A., Sokolov P.M., Reznikov G.S., Korostelev A.V. Sposob imitatsii usloviy starta rakety iz puskovoy ustanovky podvodnoy lodki v nazemnykh usloviyakh i sistema dlya yego osushchestvleniya [The way of simulating the conditions of missile takeoff from the submarine launcher in terrestrial conditions and the system for its realization]. Patent RF, no. 2569203, 20.11.2015.
[17] Plyusnin A.V., Bondarenko L.A., Sabirov Yu.R. Analiz gazogidrodinamicheskikh protsessov i metodov ikh rascheta na osnove opyta predpriyatiya v otrabotke podvodnogo minometnogo starta [Analysis of gas and hydro dynamic processes and their calculating methods on the basis of the enterprise experiments in underwater mortar launch tests]. Raketnyye kompleksy i raketnokosmicheskiye sistemy — proyektirovaniye, eksperimentalnaya otrabotka, letnyye ispytaniya, ekspluatatsiya. Trudy sektsii 22 im. akad. V.N. Chelomeya XXXIX Akademicheskikh chteniy po kosmonavtike [Rocket and space-rocket systems — designing, experimental tests, flight tests, exploitation. Proceedings of the 22nd section named after acad. V.N. Chelomei of the XXXIX Academic Space Technology Readings]. Reutov, 2015, pp. 74–83.
[18] Plyusnin A.V., Sabirov Yu.R. Nekotorye teoreticheskie aspekty proektirovaniia gazodinamicheskogo vybrosa LA [Some theoretical aspects of the flying vehicle gas-dynamic ejection design]. Sb. tezisov XLI Akademicheskikh chteniy po kosmonavtike [Proceedings of the XLI Academic Space Technology Readings]. Moscow, BMSTU Publ., 2017, p. 515.
[19] Plyusnin A.V. Matematicheskoye modelirovaniye i chislennye metody — Mathematical Modeling and Computational Methods, 2014, no. 3 (3), pp. 55–73.
[20] Plyusnin A.V. Matematicheskoye modelirovaniye i chislennye metody — Mathematical Modeling and Computational Methods, 2016, no. 1 (9), pp. 68–88; no. 2 (10), pp. 39–54.
[21] Sorkin R.E. Teoriya vnutrikamernykh protsessov v raketnykh sistemakh na tverdom toplive: vnutrennyaya ballistika [The theory of intrachamber processes in the solid propellant rocket systems: internal ballistics]. Moscow, Nauka Publ., 1983, 288 p.
[22] Plyusnin A.V. Matematicheskoye modelirovaniye i chislennyye metody — Mathematical Modeling and Computational Methods, 2014, no. 2, pp. 77–100.
[23] Efremov G.A., Strakhov A.N., Minasbekov D.A., Gorlashkin A.A., Plyusnin A.V., Sokolov P.M., Bondarenko L.A., Govorov V.V. Otrabotka gazodinamiki podvodnogo starta na nazemnom gazodinamicheskom stende predpriyatiya [Underwater launch gas dynamic tests on the ground gas dynamics ground test bench of the enterprise]. Raketnye kompleksy i raketno-kosmicheskie sistemy — proektirovanie, eksperimentalnaya otrabotka, letnye ispytaniya, ekspluatatsiya. Trudy sektsii 22 im. akad. V.N. Chelomeya XXXVIII Akademicheskikh chteniy po kosmonavtike [Rocket and space-rocket systems — designing, experimental tests, flight tests, exploitation. Proc. of the 22nd section acad. V.N. Chelomei of XXXVIII Academic Space Technology Readings]. Reutov, 2014, pp. 65–74.
[24] Plyusnin A.V., Bondarenko L.A. Analiz rezultatov gazodinamicheskkhi ispytaniy s uchetom yavleniya vtorichnogo dogoraniya [An Analysis of Results of Gas Dynamical Tests with Consideration of the Secondary Combustion Effect]. Raketnye kompleksy i raketno-kosmicheskie sistemy — proektirovanie, eksperimentalnaya otrabotka, letnye ispytaniya, ekspluatatsiya. Trudy sektsii 22 im. akad. V.N. Chelomeya XXXIX Akademicheskikh chteniy po kosmonavtike [Rocket and space-rocket systems — designing, experimental tests, flight tests, exploitation. Proc. of the 22nd section acad. V.N. Chelomei of XXXIX Academic Space Technology Readings]. Reutov, 2015, pp. 94–101.
[25] Lavrentyev M.A., Shabat B.V. Metody teorii funktsii kompleksnogo peremennogo [Complex variable theory methods]. Moscow, Nauka Publ., 1987, 688 p.
[26] Alasheev V.I., Davtyan A.A., Plyusnin A.V., Sabirov Yu.R. Analiz usloviy obespecheniya dopustimykh nagruzok i bezudarnogo vykhoda izdeliya iz puskovoy ustanovki [Analysis of conditions to ensure permissible loads and shockfree release of the product launcher]. Aerokosmicheskiye tekhnologii: Nauchnyye materialy Tret'yey mezhdunarodnoy nauchno-tekhnicheskoy konferentsii,
posvyashchennoy 100-letiyu so dnya rozhdeniya akademika V.N. Chelomeya [Aerospace Technologies: Research materials of the Third International Scientific Conference dedicated to the 100th anniversary of the birth of Academician V.N. Chelomey]. Moscow, BMSTU Publ., 2014, pp. 163–164.
[27] Yerokhin B.T. Teoriya i proyektirovaniye raketnykh dvigateley [Rocket engines theory and design]. St. Petersburg, Lan Publ., 2015, 608 p.
[28] Aliyev A.V., Amarantov G.N., Akhmadeyev V.F., Babuk V.A., Burskiy G.V. Vnutrennyaya ballistika RDTT [Internal ballistics of the solid-propellant rocket engine]. Moscow, Mashinostroeniye Publ., 2007, 504 p.
[29] Van der Varden B.L. Algebra [Algebra]. Moscow, Nauka Publ., 1979, 624 p.
[30] Olver P.J. Applications of Lie Groups to Differential Equations. New-York, Springer-Verlag, 1986, 639 p.
[31] Plyusnin A.V. Vestnik MGTU im. N.E. Baumana. Ser. Yestestvennyye nauki. Spets. vypusk “Matematicheskoye modelirovaniye” — Herald of Bauman Moscow State Technical University. Series Natural Sciences. Spec. issue “Mathematical Modeling”, 2012, no. 3, pp. 86–95.


Plyusnin A. Simulating mass-consuming characteristics of power devices providing gas-dynamic ejection of the flying vehicle with setup parameters. Маthematical Modeling and Coтputational Methods, 2017, №1 (13), pp. 55-77



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