System of differential equations of aircraft spatial motion dynamics with arbitrary tensor of inertia and center of gravity position


Cite item

Full Text

Abstract

Derivation of analytic expressions making up the basis of a mathematical model of aircraft flight dynamics for the differential equations describing the change in the rate of roll, yaw and pitch, as well as flight velocity components in projections on the body-fixed coordinate axes is presented. The origin of the coordinate system does not in general coincide with the center of mass of the plane, and the axes are not the same as its main central axes of inertia. The differential equations for angular and linear velocities are reduced to the form convenient for the use of numerical methods and computer systems and make it possible  to get consistent results of simulating the dynamics of aircraft spatial motion with an arbitrary tensor of inertia and center of gravity position.

About the authors

D. V. Vereshchikov

Military Educational and Scientific Center of the Air Force Academy named after Professor N.E. Zhukovsky and Yu.A. Gagarin

Author for correspondence.
Email: vdvikt@yandex.ru

Candidate of Science (Engineering), Associate Professor, Head of Department

Russian Federation

References

  1. GOST 20058-80. Aircraft dynamics in atmosphere. Terms, definitions and symbols. Moscow: Izdatel'stvo Standartov Publ., 1981. 53 p. (In Russ.)
  2. Vereshchikov D.V., Kuznetsov A.D. Justification of military transport aircraft control automation in conditions of heavy cargo airlift delivery. Aerospace MAI Journal. 2016. V. 23, no. 3. P. 121-128. (In Russ.)
  3. Aerodinamika, ustoychivost' i upravlyaemost' sverkhzvukovykh samoletov [Aerodynamics, stability and controllability of supersonic aircraft / ed. by G.S. Byushgens]. Moscow: Nauka; Fizmatlit Publ., 1998. 816 p.
  4. Gernet M.M. Kurs teoreticheskoy mekhaniki [Course of theoretical mechanics]. Moscow: Vysshaya Shkola Publ., 1973. 464 p.
  5. Dinamika poleta: uchebnik dlya studentov vysshikh uchebnykh zavedeniy [Flight dynamics: Textbook for students of higher educational institutions / ed. by G.S. Byushgens]. Moscow: Mashinostroenie Publ., 2011. 776 p.
  6. Vereshchikov D.V., Nikolaev S.V., Razuvaev D.V. Sistemy upravleniya letatel'nykh apparatov [Aircraft control systems]. Voronezh: Voenno-vozdushnaya Akademiya Publ., 2018. 322 p.

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2021 VESTNIK of Samara University. Aerospace and Mechanical Engineering

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

This website uses cookies

You consent to our cookies if you continue to use our website.

About Cookies