IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v198y2022icp407-425.html
   My bibliography  Save this article

Modeling of the optimal deceleration for the rotatory motion of asymmetric rigid body

Author

Listed:
  • El-Sabaa, F.M.
  • Amer, T.S.
  • Sallam, A.A.
  • Abady, I.M.

Abstract

This paper investigates a minimum time of the 3D slowing rotatory motion of free asymmetric rigid body under the influence of a rotatory moment of viscous friction and a gyrostatic one. It is considered that the body center of mass coincides with the origin point of two Cartesian frames. The law of optimal control for the slow body’s rotation is formulated, and the associated time and phase paths are evaluated. The achieved novel results are obtained and plotted for two new cases in some graphical representations to detect the good effects of the gyrostatic moment. The comparison between our results and the previous one shows great consistency between them in the absence of influence of the gyrostatic moment, in which the differences between them are discussed. Therefore, the attained results generalized those which were obtained in previous works. The relevance of this work is due to its practical applications, especially for the gyroscopic theory applications in maintaining stability and determining the ordination of aircraft and submarine vehicles.

Suggested Citation

  • El-Sabaa, F.M. & Amer, T.S. & Sallam, A.A. & Abady, I.M., 2022. "Modeling of the optimal deceleration for the rotatory motion of asymmetric rigid body," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 407-425.
    • Handle: RePEc:eee:matcom:v:198:y:2022:i:c:p:407-425
    DOI: 10.1016/j.matcom.2022.03.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475422000908
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2022.03.002?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:eee:matcom:v:198:y:2022:i:c:p:407-425. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.