Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2017-5pp.368-374

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Total articles in the database: 10482
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N.M. Grevtsov, S.A. Kumakshev, and A.M. Shmatkov, "Optimization of the flight trajectory of a non-manoeuvrable aircraft to minimize fuel consumption by the dynamic programming method," J. Appl. Math. Mech. 81 (5), 368-374 (2017)
Year 2017 Volume 81 Issue 5 Pages 368-374
DOI 10.1016/j.jappmathmech.2018.03.004
Title Optimization of the flight trajectory of a non-manoeuvrable aircraft to minimize fuel consumption by the dynamic programming method
Author(s) N.M. Grevtsov (Zhukovsky Central Aerohydrodynamic Institute, Zhukovsky, Russia, nikolay.grevtsov@tsagi.ru)
S.A. Kumakshev (Ishlinsky Institute for Problems in Mechanics, Moscow, Russia, kumak@ipmnet.ru)
A.M. Shmatkov (Ishlinsky Institute for Problems in Mechanics, Moscow, Russia, shmatkov@ipmnet.ru)
Abstract Using Bellman's dynamic programming method, a fuel-consumption optimum flight trajectory of a typical mid-range aircraft is constructed for a prescribed range. The optimum trajectory was calculated for the full model of motion of the aircraft along a trajectory in a vertical plane. Optimization was realized simultaneously for the whole trajectory without decomposing the process into individual steps. The method made it possible to take into account all restrictions imposed both by technical peculiarities of the aircraft and also by other requirements - safety and comfort of the passengers.
Keywords control parameters; control functions
Received 23 November 2016
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