AbstractThe aim of this work is to investigate the analytical solutions for the equations of motion of a rigid body about a fixed point through the process of decoupling Euler’s dynamic equations. This body is acted upon by a gyrostatic torque ℓ̲=(ℓ1,ℓ2,ℓ3) about the axes of rotation, and in the presence of a moment about the same axes, it depends on an external loading in which its components have been expressed as a harmonic function of time. The achieved analytical solutions for the equations of motion are obtained under conditions consistent with the physical nature of the body, and the uniqueness of the solution is proved. Some new theoretical applications are presented when the body is symmetric about one of its principal axes and when the body is in complete symmetry. The graphical representations for the motion of the body are represented to show the effectiveness of the physical parameters of the body. Moreover, the phase plane plots are given to ensure that the considered motion is free of chaos.


    Access

    Access via TIB

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Solutions of Euler’s Dynamic Equations for the Motion of a Rigid Body


    Contributors:

    Published in:

    Publication date :

    2017




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English



    Classification :

    BKL:    55.50 Luftfahrzeugtechnik / 51.40 Werkstoffe für bestimmte Anwendungsgebiete / 55.60 Raumfahrttechnik
    Local classification TIB:    770/7040




    Motion of a Rigid Body by Inertia. Euler’s Case

    Chernousko, Felix L. / Akulenko, Leonid D. / Leshchenko, Dmytro D. | Springer Verlag | 2017


    Analytic Solution of Euler's Equations of Motion for an Asymmetric Rigid Body (AAS 93-580)

    Tsiotras, P. / Longuski, J. M. / American Astronautical Society | British Library Conference Proceedings | 1993