Obiekt
Tytuł: Complex dynamics of a heavy symmetrical gyroscope under a parametric nonlinear damping
Autor:
Pomalegni, G.F. ; Nourou, Y. ; Miwadinou, Clément ; Monwanou, Vincent A.
Data wydania:
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Tytuł publikacji grupowej:
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.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
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DOI:
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Źródło:
IJAME, volume 30, number 1 (2025)
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Licencja:
Licencja CC BY-NC-ND 4.0:
Prawa do dysponowania publikacją:
Biblioteka Uniwersytetu Zielonogórskiego
Kolekcje, do których przypisany jest obiekt:
- Repozytorium > Jednostki organizacyjne > Wydział Mechaniczny
- Repozytorium > Typy utworów > Artykuły
- Repozytorium > Czasopisma naukowe i serie wydawnicze UZ > International Journal of Applied Mechanics and Engineering (IJAME)
- Repozytorium > Czasopisma naukowe i serie wydawnicze UZ > International Journal of Applied Mechanics and Engineering (IJAME) > International Journal of Applied Mechanics and Engineering (IJAME) (2025)
Data ostatniej modyfikacji:
2025-03-11
Data dodania obiektu:
2025-03-11
Liczba wyświetleń treści obiektu:
0
Wszystkie dostępne wersje tego obiektu:
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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- Complex dynamics of a heavy symmetrical gyroscope under a parametric nonlinear damping
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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 28 (2023)
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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)
| Nazwa wydania | Data |
|---|---|
| Complex dynamics of a heavy symmetrical gyroscope under a parametric nonlinear damping | 2025-03-11 |
