Periodic solution of the parametric Gaylord's oscillator with a non-perturbative approach

YO El-Dib, NS Elgazery - Europhysics Letters, 2022 - iopscience.iop.org
The vibration of a regular rigid bar without sliding over a solid annular surface of a specified
radius can be considered by a parametric Gaylord's oscillator. The governing equation was …

The periodic property of Gaylord's oscillator with a non-perturbative method

YO El-Dib - Archive of Applied Mechanics, 2022 - Springer
The Gaylord's oscillator is a vibrating of a uniform rigid rod without slipping on a rigid circular
surface with a definite radius. The dominant equation of motion was the outcome of a …

Investigation of nonlinear vibrational analysis of circular sector oscillator by using cascade learning

NA Khan, M Sulaiman, J Seidu… - Advances in Materials …, 2022 - Wiley Online Library
This paper analyzed the model of swinging oscillation of a solid circular sector arising in
hydrodynamical machines, electrical engineering, heat transfer applications, and civil …

New closed-form solution for quadratic damped and forced nonlinear oscillator with position-dependent mass: Application in grafted skin modeling

L Cveticanin, N Herisanu, I Ninkov, M Jovanovic - Mathematics, 2022 - mdpi.com
The paper deals with modelling and analytical solving of a strong nonlinear oscillator with
position-dependent mass. The oscillator contains a nonlinear restoring force, a quadratic …

Approximate Analytic Frequency of Strong Nonlinear Oscillator

L Cveticanin, M Zukovic, D Cveticanin - Mathematics, 2024 - search.proquest.com
In this paper, a new analytic expression for the frequency of vibration of a strong nonlinear
polynomial-type oscillator is introduced. The method for frequency calculation is based on …