Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: Complex dynamics of a heavy symmetrical gyroscope under a parametric nonlinear damping
Creator:
Pomalegni, G.F. ; Nourou, Y. ; Miwadinou, Clément ; Monwanou, Vincent A.
Date:
Resource Type:
Contributor:
Group publication title:
Abstract:
This paper analyzes the chaos and coexistence of attractors of a heavy gyroscope with parametric nonlinear damping. After having found the mathematical model of the dynamics, we used the multiple scale technique to look for secondary resonances. Subsequently, the amplitude of the harmonic oscillations is determined based on the harmonic balance technique. Impact of each of the system parameters is analyzed on the amplitudes and frequency of resonances. ; By applying order four Runge-Kutta algorithm, the different dynamics of the gyroscope are determined and analyzed. Subharmonic resonances and harmonic oscillations are derived from the limited development the basic equation solved numerically to investigate the dynamics and coexistence of the gyroscope attractors. The analysis of impact of each parameter on the existence and disappearance of coexisting attractors is done numerically.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Format:
Resource Identifier:
DOI:
Pages:
Source:
IJAME, volume 30, number 1 (2025)
Language:
License:
License CC BY-NC-ND 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Mechanical Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME)
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME) > International Journal of Applied Mechanics and Engineering (IJAME) (2025)
Last modified:
Mar 11, 2025
In our library since:
Mar 11, 2025
Number of object content hits:
84
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/93070
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Show description in OAI-PMH format:
| Edition name | Date |
|---|---|
| Complex dynamics of a heavy symmetrical gyroscope under a parametric nonlinear damping | Mar 11, 2025 |
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