Skip to main content
SpringerLink
Log in

Comparative Analysis of Techniques of Modeling Kinematic Relations for Solving Helicopter Motion Equations

  • Flight Dynamics and Control Of Flight Vehicles
  • Published:
Russian Aeronautics Aims and scope Submit manuscript

Abstract

This paper considers an aspect of selecting a technique of modeling kinematic relations that define angular speeds of rigid bodies and Euler angles as well as Rodrigues–Hamilton quaternions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Braverman, A.S. and Vaintrub, A.P., Dinamika vertoleta. Predel'nye rezhimy poleta (Helicopter Dynamics. Limited Flight Conditions), Moscow: Machinostroenie, 1988.

    Google Scholar 

  2. Leont’ev, V.A., A Method for Determining Velocities and Accelerations of an Elastic Main Rotor Blade Element, Izv. Vuz. Av. Tekhnika, 2010, vol. 53, no. 1, pp. 27–30 [Russian Aeronautics (Engl. Transl.), vol. 53, no. 1, pp. 39–44].

    Google Scholar 

  3. Mikhailov, S.A., Nedel’ko, D.V., and Nikolaev, E.I., Mathematical Model of a Helicopter Landing with Skid Landing Gears, Izv. Vuz. Av. Tekhnika, 2001, vol. 44, no. 1, pp. 8–12 [Russian Aeronautics (Engl. Transl.), vol. 44, no. 1, pp. 8–15].

    Google Scholar 

  4. Mikhailov, S.A., Girfanov, A.M., and Nedel’ko, D.V., Metody matematicheskogo modelirovaniya rezhimov poleta i posadki vertoleta s bessharnirnym vintom (Methods of Mathematical Modeling of Flight and Landing Modes for a Helicopter with a Hingeless Rotor), Kazan: Izd. Kazan. Gos. Tekhn. Univ., 2016.

    Google Scholar 

  5. Matematicheskaya entsiklopediya (Encyclopedia of Mathematics), Vinogradov, I.M., Ed., Moscow: Sov. Encyclopedia, 1977–1985, vol. 1–5.

  6. Girfanov, A.M. and Girfanova, R.A., Numerical Modeling of Helicopter Flight on a Prescribed Trajectory, Izv. Vuz. Av. Tekhnika, 2016, vol. 59, no. 3, pp. 40–44 [Russian Aeronautics (Engl. Transl.), vol. 59, no. 3, pp. 338–343].

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Tupolev Kazan National Research Technical University, ul. Karla Marksa 10, Kazan, 420111, Russia

    A. M. Girfanov

Authors
  1. A. M. Girfanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. M. Girfanov.

Additional information

Original Russian Text © A.M. Girfanov, 2018, published in Izvestiya Vysshikh Uchebnykh Zavedenii, Aviatsionnaya Tekhnika, 2018, No. 4, pp. 142–144.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Girfanov, A.M. Comparative Analysis of Techniques of Modeling Kinematic Relations for Solving Helicopter Motion Equations. Russ. Aeronaut. 61, 667–670 (2018). https://doi.org/10.3103/S1068799818040256

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1068799818040256

Keywords

Search

Navigation