[HTML][HTML] Modelling of the rotational motion of 6-DOF rigid body according to the Bobylev-Steklov conditions

JH He, TS Amer, HF El-Kafly, AA Galal - Results in Physics, 2022 - Elsevier
This work demonstrates the 3D motion of 6-DOF rigid body around the main inertial axes
relative to a fixed point. The novelty of this work is to examine the influence of the gyrostatic …

[HTML][HTML] The dynamical motion of a gyrostat for the irrational frequency case

TS Amer, AA Galal, IM Abady, HF Elkafly - Applied Mathematical Modelling, 2021 - Elsevier
This work outlines on the three dimensional motion of a rigid body about a fixed point
according to Lagrange's case under the action of a gyrostatic moment and a Newtonian …

The asymptotic solutions for the motion of a charged symmetric gyrostat in the irrational frequency case

TS Amer, IM Abady, HA Abdo, HF El-Kafly - Scientific Reports, 2024 - nature.com
The primary objective of this study is to explore the spatial rotary movements of a
symmetrically charged rigid body (RB) that is rotating around a fixed point, akin to …

[HTML][HTML] Modeling and analysis of the nonlinear rotatory motion of an electromagnetic gyrostat

FM El-Sabaa, TS Amer, AA Sallam, IM Abady - Alexandria Engineering …, 2022 - Elsevier
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 …

Modification of the Large Parameter Approach for the Periodic Solutions of Nonlinear Dynamical Systems

AI Ismail, TS Amer, WS Amer - Mathematics, 2023 - mdpi.com
This paper focuses on the modification of the large parameter approach (LPA), a novelty
procedure, for estimating the periodic solutions of two degrees-of-freedom (DOF) …

[HTML][HTML] Modelling and analyzing the rotatory motion of a symmetric gyrostat subjected to a Newtonian and magnetic fields

WS Amer - Results in Physics, 2021 - Elsevier
This article sheds light on the rotatory motion of a symmetric gyrostat around a fixed point
under the effectiveness of both a magnetic field and a Newtonian one besides the action of a …

[HTML][HTML] The asymptotic solutions of the governing system of a charged symmetric body under the influence of external torques

AA Galal, TS Amer, H El-Kafly, WS Amer - Results in Physics, 2020 - Elsevier
This paper investigates the motion of a dynamically symmetric rigid body about one of its
fixed points in which it is incurred to Newtonian force field, electromagnetic field and external …

Studying the vibrational motion of a rotating symmetrically charged solid body subjected to external forces and moments

TS Amer, FM El-Sabaa, AA Sallam, IM Abady - … and Computers in …, 2023 - Elsevier
This paper studies the rotatory vibrating motion of a dynamically symmetric charged solid
body (SB) connected with a spring around a fixed point as a novel model. The body is …

Free rotation of a rigid mass carrying a rotor with an internal torque

AA Galal - Journal of Vibration Engineering & Technologies, 2023 - Springer
Purpose In this paper, the analytic solution for a free rotatory motion under the influence of a
motor of limited power is investigated; we aim to prove that the motion of the carrier body is …

Rotations of a Rigid Body Close to the Lagrange Case under the‎ Action of Nonstationary Perturbation Torque

D Leshchenko, S Ershkov… - Journal of Applied and …, 2022 - jacm.scu.ac.ir
Perturbed motions of a rigid body, close to the Lagrange case, under the action of restoring
and perturbation torques of forces are investigated in the paper. The following problem is …