Modeling and analysis of the nonlinear rotatory motion of an electromagnetic gyrostat

This paper investigates the three-dimensional rotary motion of a charged rigid body (gyrostat) about a fixed point close to the case of Lagrange. We mainly consider the motion under the influence of some forces and moments, on the gyrostat, such as a Newtonian force field in addition to perturbing,...

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Autores principales:	F.M. El-Sabaa, T.S. Amer, A.A. Sallam, I.M. Abady
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2022
Materias:	Gyrostatic motion Euler-Poisson equations Newtonian field Averaging method Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/cf0ffefa7dd145309e5f6177476d5773
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spelling	oai:doaj.org-article:cf0ffefa7dd145309e5f6177476d57732021-11-18T04:45:31ZModeling and analysis of the nonlinear rotatory motion of an electromagnetic gyrostat1110-016810.1016/j.aej.2021.06.066https://doaj.org/article/cf0ffefa7dd145309e5f6177476d57732022-02-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S1110016821004208https://doaj.org/toc/1110-0168This paper investigates the three-dimensional rotary motion of a charged rigid body (gyrostat) about a fixed point close to the case of Lagrange. We mainly consider the motion under the influence of some forces and moments, on the gyrostat, such as a Newtonian force field in addition to perturbing, gyrostatic, and restoring moments. The body is assumed to have an initially extremely large angular velocity along the direction of the axis of dynamical symmetry and the perturbing moments are smaller than the moment of restoring. Next, the averaging method is used to obtain the averaging system of motion in view of these conditions. The angles of precession and nutation are evaluated asymptotically as new aspects of the orientation of the body at any instant. The graphical performance of these angles is plotted to display the good influence of the applied moments on the motion. In addition, the Runge-Kutta method of fourth-order is applied to get the numerical results of the governing system of motion and these results are represented in other plots. The significance of the current work is due to its various implementations in the theory of gyroscopic motion especially in the design of aircraft, spaceships, and submarines because they are mainly responsible for directing these vehicles.F.M. El-SabaaT.S. AmerA.A. SallamI.M. AbadyElsevierarticleGyrostatic motionEuler-Poisson equationsNewtonian fieldAveraging methodEngineering (General). Civil engineering (General)TA1-2040ENAlexandria Engineering Journal, Vol 61, Iss 2, Pp 1625-1641 (2022)
institution	DOAJ
collection	DOAJ
language	EN
topic	Gyrostatic motion Euler-Poisson equations Newtonian field Averaging method Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Gyrostatic motion Euler-Poisson equations Newtonian field Averaging method Engineering (General). Civil engineering (General) TA1-2040 F.M. El-Sabaa T.S. Amer A.A. Sallam I.M. Abady Modeling and analysis of the nonlinear rotatory motion of an electromagnetic gyrostat
description	This paper investigates the three-dimensional rotary motion of a charged rigid body (gyrostat) about a fixed point close to the case of Lagrange. We mainly consider the motion under the influence of some forces and moments, on the gyrostat, such as a Newtonian force field in addition to perturbing, gyrostatic, and restoring moments. The body is assumed to have an initially extremely large angular velocity along the direction of the axis of dynamical symmetry and the perturbing moments are smaller than the moment of restoring. Next, the averaging method is used to obtain the averaging system of motion in view of these conditions. The angles of precession and nutation are evaluated asymptotically as new aspects of the orientation of the body at any instant. The graphical performance of these angles is plotted to display the good influence of the applied moments on the motion. In addition, the Runge-Kutta method of fourth-order is applied to get the numerical results of the governing system of motion and these results are represented in other plots. The significance of the current work is due to its various implementations in the theory of gyroscopic motion especially in the design of aircraft, spaceships, and submarines because they are mainly responsible for directing these vehicles.
format	article
author	F.M. El-Sabaa T.S. Amer A.A. Sallam I.M. Abady
author_facet	F.M. El-Sabaa T.S. Amer A.A. Sallam I.M. Abady
author_sort	F.M. El-Sabaa
title	Modeling and analysis of the nonlinear rotatory motion of an electromagnetic gyrostat
title_short	Modeling and analysis of the nonlinear rotatory motion of an electromagnetic gyrostat
title_full	Modeling and analysis of the nonlinear rotatory motion of an electromagnetic gyrostat
title_fullStr	Modeling and analysis of the nonlinear rotatory motion of an electromagnetic gyrostat
title_full_unstemmed	Modeling and analysis of the nonlinear rotatory motion of an electromagnetic gyrostat
title_sort	modeling and analysis of the nonlinear rotatory motion of an electromagnetic gyrostat
publisher	Elsevier
publishDate	2022
url	https://doaj.org/article/cf0ffefa7dd145309e5f6177476d5773
work_keys_str_mv	AT fmelsabaa modelingandanalysisofthenonlinearrotatorymotionofanelectromagneticgyrostat AT tsamer modelingandanalysisofthenonlinearrotatorymotionofanelectromagneticgyrostat AT aasallam modelingandanalysisofthenonlinearrotatorymotionofanelectromagneticgyrostat AT imabady modelingandanalysisofthenonlinearrotatorymotionofanelectromagneticgyrostat
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Modeling and analysis of the nonlinear rotatory motion of an electromagnetic gyrostat

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