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:
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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
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Pages:
Source:
IJAME, volume 30, number 1 (2025)
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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
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0
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/93070
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International Journal of Applied Mechanics and Engineering (IJAME)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 30 (2025)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 30, number 1 (2025)
- International Journal of Applied Mechanics and Engineering (IJAME), volume 30, number 1 (2025) - contents
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- Performance analysis of the CDRI diesel engine`s performance and emission parameters blended with leftover cooking oil, additional nanoparticles, and hydrogen enrichment
- Comparison of the mechanical properties of low-cost bio fiber reinforced polymer composites
- Investigation of stress concentration factors in countersunk holes of biaxially loaded isotropic plates
- Weight optimization of leaf spring assembly using design for manufacturing approach and FEM in graduated leaves for Electric Vehicle
- Evaluation of microstructure and mechanical properties resulting from gas nitriding process for different types of steel
- Complex dynamics of a heavy symmetrical gyroscope under a parametric nonlinear damping
- Analytical Investigation of TAR for Enhancing Performance Using Varied Stack configuration and Varied Working Fluid
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International Journal of Applied Mechanics and Engineering (IJAME), volume 30, number 1 (2025)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 29 (2024)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 28 (2023)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 27 (2022)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 26 (2021)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 25 (2020)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 24 (2019)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 23 (2018)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 22 (2017)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 21 (2016)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 20 (2015)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 19 (2014)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 18 (2013)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 30 (2025)
| Edition name | Date |
|---|---|
| Complex dynamics of a heavy symmetrical gyroscope under a parametric nonlinear damping | Mar 11, 2025 |
