IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i21p2682-d662394.html
   My bibliography  Save this article

Lie-Group Modeling and Numerical Simulation of a Helicopter

Author

Listed:
  • Alessandro Tarsi

    (School of Automation Engineering, Alma Mater Studiorum—Università di Bologna, Viale del Risorgimento 2, I-40136 Bologna, Italy)

  • Simone Fiori

    (Department of Information Engineering, Marches Polytechnic University, Brecce Bianche Rd., I-60131 Ancona, Italy)

Abstract

Helicopters are extraordinarily complex mechanisms. Such complexity makes it difficult to model, simulate and pilot a helicopter. The present paper proposes a mathematical model of a fantail helicopter type based on Lie-group theory. The present paper first recalls the Lagrange–d’Alembert–Pontryagin principle to describe the dynamics of a multi-part object, and subsequently applies such principle to describe the motion of a helicopter in space. A good part of the paper is devoted to the numerical simulation of the motion of a helicopter, which was obtained through a dedicated numerical method. Numerical simulation was based on a series of values for the many parameters involved in the mathematical model carefully inferred from the available technical literature.

Suggested Citation

  • Alessandro Tarsi & Simone Fiori, 2021. "Lie-Group Modeling and Numerical Simulation of a Helicopter," Mathematics, MDPI, vol. 9(21), pages 1-34, October.
  • Handle: RePEc:gam:jmathe:v:9:y:2021:i:21:p:2682-:d:662394
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/21/2682/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/9/21/2682/
    Download Restriction: no
    ---><---

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:9:y:2021:i:21:p:2682-:d:662394. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.