General properties and trends in the movement of a finned body in a resisting medium
Published: 12.09.2018
Authors: Lokshin B.Ya., Okunev Yu.M., Privalova O.G., Samsonov V.A.
Published in issue: #9(81)/2018
DOI: 10.18698/2308-6033-2018-9-1799
Category: Aviation and Rocket-Space Engineering | Chapter: Aircraft Dynamics, Ballistics, Motion Control
The article describes the results of solving a series of model problems on the motion of a body whose fins should ensure its autorotation. The purpose of the formulation of these problems is to identify the properties and trends of the body movement, determined by fins proper. The motion of the body model in the wind tunnel is compared with a free flight of the body in the atmosphere. This comparison allows using the results of body model blowdowns for predicting the properties of its flight
References
[1] Guvernuk S.V., Falunin M.P., Feshchenko S.A. Issledovanie dvizheniya vraschauschegosya parashuta. Parashuty i pronitsaemye tela [Study of the rotating parachute motion. Parachutes and permeable bodies]. Moscow, MGU Publ., 1980, pp. 30–44.
[2] Lokshin B.Ya., Privalov V.A., Samsonov V.A. Vvedenie v zadachu o dvizhenii tela v soprotivlyauscheysya srede [Introduction to the problem of the body motion in a resisting medium]. Moscow, MGU Publ., 1986, 86 p.
[3] Privalov V.A., Samsonov V.A. Prikladnaya matematika i mekhanika — Journal of Applied Mathematics and Mechanics, 1994, vol. 58, no. 2, pp. 37–48.
[4] Zenkin A.N., Privalov V.A., Samsonov V.A. Mekhanika tverdogo tela. Izvestiya Rossiyskoy akademii nauk — Mechanics of Solids. A Journal of Russian Academy of Sciences, 1993, no. 4, pp. 73–78.
[5] Tabachnikov V.G. Stastionarnye kharakteristiki krylev na malykh skorostyakh vo vsem diapazone uglov atak [Stationary wing characteristics at low speeds in the entire range of angle of attack]. Trudy TsAGI [Proceedings of the Central Aerohydrodynamic Institute]. 1974, no. 1621, pp. 79–93.
[6] Okunev Yu.M., Privalova O.G., Samsonov V.A. The geometry of stability domains of systems with different dimensions. Proceedings of the International Conference “Seventh Polyakhov
[7] Okunev Yu.M., Privalova O.G., Samsonov V.A. Transformatsiya oblastey ustoychivosti odnotipnykh rezhimov avtorotatsii [Transformation of stability domains of autorotation of the same types]. Trudy XI Mezhdunarodnoy Chetaevskoy konferentsii “Analiticheskaya mekhanika, ustoychivost i upravlenie”, Kazan 13–17 iyunya, 2017 [Proceedings of the 11th International Chetaev Conference “Analytical Mechanics, Sustainability and Control”, Kazan, June 13–17, 2017]. Kazan, KNITU-KAI Publ. 2017, vol. 1, pp. 275–282.
[8] Privalova O.G., Okunev Yu.M., Samsonov V.A. Vestnik Nizhegorodskogo universiteta im. N.I. Lobachevskogo — Vestnik of Lobachevsky University of Nizhny Novgorod, 2011, no. 4 (2), pp. 287–289.
[9] Okunev Yu.M., Privalova O.G., Samsonov V.A. Sopostavlenie svoystv ustoychivosti trekh rezhimov avtorotatsii [Comparison of the stability properties of the three autorotation modes]. Sbornik izbrannykh trudov Mezhdunarodnoy nauchnoy konferentsii po mekhanike “Shestye Polyakhovskie chteniya” St. Petersburg 31 yanvarya — 3 fevralya 2012 g. [Proceedings of the International Scientific Conference on Mechanics “The Sixth Polyakhov Readings”, St. Petersburg, January 31 — February 3, 2012. Collection of Selected Works]. St. Petersburg, St. Petersburg University Publ., 2012, pp. 59–63.
[10] Okunev Yu.M., Privalova O.G., Samsonov V.A. O dinamike giroskopicheskikh system [On the dynamics of gyroscopic systems]. In: Aktualnye problemy mekhaniki. Akademik A.Yu. Ishlinsky — vydaushchiysya uchenyy-mekhanik. Sbornik statey [Actual problems of mechanics. Academician A.Yu. Ishlinsky — an outstanding scientist-mechanic. Collection of the articles]. Moscow, Nauka Publ., 2013, pp. 124–128.
[11] Privalova O.G., Okunev Yu.M. Ustoychivost rezhimov avtorotatsii v zadachakh, obladauschikh raznym chislom stepeney svobody [Stability of autorotation regimes in problems with different number of degrees of freedom]. Sbornik dokladov XI Vserossiyskogo syezda po fundamentalnym problemam teoreticheskoy i prikladnoy mekhaniki. Kazan, 20–24 avgusta 2015 g. [Proceedings of the XI All-Russian congress on fundamental problems of theoretical and applied mechanics. Kazan, August 20–24, 2015]. Kazan, Kazan Federal University Publ., 2015, pp. 3113–3115. Available at: https://libweb.kpfu.ru/publication/papers/XIMecon/01085
[12] Okunev Yu.M., Privalova O.G., Samsonov V.A. Ob ustoychivosti rezhima ustanovivshegosya tormozheniya operennogo tela v soprotivlyaushcheysya srede [On the stability of the steady-state braking mode of a finned body in a resisting medium]. Trudy Shestogo Mezhdunarodnogo aerokosmicheskogo kongressa IAC’09, Moskva, 23–27 avgusta 2009 g. [Proceedings of the Sixth International Aerospace Congress IAC’09, Moscow, August 23–27, 2009]. Moscow, 2010, pp. 229–241.
[13] Okunev Yu.M., Privalova O.G., Samsonov V.A. Osobennosti dvizheniya operennogo tela v soprotivlyaushcheysya srede [Features of a finned body motion in a resisting medium]. Sbornik nauchnykh trudov X Mezhdunarodnoy Chetaevskoy konferentsii “Analiticheskaya mekhanika, ustoychivost i upravlenie” Kazan 12–16 iyunya, 2012 g. [Proceedings of the 10th International Chetaev Conference “Analytical Mechanics, Sustainability and Control” Kazan June 12–16, 2012]. Kazan, Kazan National Research Technical University Publ., 2012, vol. 2, pp. 422–429.
[14] Samsonov V.A., Okunev Yu.M., Privalova O.G. Kharakternye dvizheniya operennogo tela v soprotivlyauscheysya srede [Characteristic movements of the finned body in a resisting medium]. Trudy Sedmogo Mezhdunarodnogo aerokosmicheskogo kongressa IAC’12, Moskva, 10–14 aprelya 2012 g. [Proceedings of the Seventh International Aerospace Congress IAC’12, Moscow, April 10–14, 2012]. Moscow, Buki vedi Publ., 2013, pp. 174–181.
[15] Okunev Yu.M., Privalova O.G., Samsonov V.A. Avtomatika i telemekhanika — Automation and Remote Control, 2013, no. 8, pp. 112–120.
[16] Okunev Yu.M., Privalova O.G., Samsonov V.A. K voprosu o vliyanii opereniya na kharakter dvizheniya LA [On the influence of fins on the nature of aircraft motion]. Trudy IV Vserossiyskoy nauchno-tekhnicheskoy konferentsii “Fundamentalnye osnovy ballisticheskogo proektirovaniya”, Sankt Peterburg, 23–28 iyunya 2014 g. [Proceedings of the IV All-Russian Scientific and Technical Conference “Fundamental basics of ballistic design”, St. Petersburg, June 23–28, 2014]. St. Petersburg, Baltic State Technical University Publ., 2014, pp. 31–38.
[17] Okunev Yu.M., Privalova O.G., Samsonov V.A. O vliyanii opereniya na kharakter spuska tyazhelogo tela [On the influence of fins on the heavy body descent pattern]. Trudy Vosmogo Mezhdunarodnogo aerokosmicheskogo kongressa IAC’15, Moskva, 28–31 avgusta 2015 g. [Proceedings of the Eighth International Aerospace Congress IAC’15, Moscow, August 28–31, 2015]. Moscow, Pero Publ., 2016, pp. 120–126.
[18] Okunev Yu.M., Privalova O.G., Samsonov V.A. O kolebaniyakh osi operennogo tela pri spuske v atmosphere [On the vibrations of the finned body axis during descent in the atmosphere]. Trudy X Vserossiyskoy nauchnoy konferentsii “Nelineynye kolebaniya mekhanicheskikh system”, Nizhniy Novgorod, 26–29 sentyabrya 2016 g. [Proceedings of the X All-Russian Scientific Conference “Nonlinear oscillations of mechanical systems”, Nizhny Novgorod, September 26–29, 2016]. Nizhny Novgorod, Nash Dom Publ., 2016, pp. 591–595.
[19] Lokshin B.Ya., Samsonov V.A. Mekhanika tverdogo tela. Izvestiya Rossiyskoy akademii nauk — Mechanics of Solids. A Journal of Russian Academy of Sciences, 2018, no. 1, pp. 64–73.
[20] Lokshin B.Ya., Privalov V.A., Samsonov V.A. Vvedenie v zadachu o dvizhenii tochki i tela v soprotivlyauscheysya srede [Introduction to the problem of motion of a point and a body in a resisting medium]. Moscow, MGU Publ., 1992, 75 p.
[21] Lokshin B.Ya., Samsonov V.A. Zadacha o dvizhenii tela v soprotivlyauscheysya srede. Kachestvennyy analiz [The problem of body motion in a resisting medium. Qualitative analysis]. Moscow, MGU Publ., 2012, 237 p.
[22] Lokshin B.Ya., Privalova O.G., Samsonov V.A. K dinamike rotoshuta [On the dynamics of the rotochute]. Moscow, MGU Publ., 2018, 65 p.