On the solutions and stability for an auto-parametric dynamical system

TS Amer, IM Abady, AM Farag - Archive of Applied Mechanics, 2022 - Springer
The main goal of this study is to look at the motion of a damped two degrees-of-freedom
(DOF) auto-parametric dynamical system. Lagrange's equations are used to derive the …

The dynamical motion of a rolling cylinder and its stability analysis: analytical and numerical investigation

WS Amer - Archive of Applied Mechanics, 2022 - Springer
The present paper addresses the dynamical motion of two degrees-of-freedom (DOF) auto-
parametric system consisting of a connected rolling cylinder with a damped spring. This …