Nonlinear Dynamics of a Nonlinear Damping Gyroscope and Its Passive Control
This article deals with the analysis of the effects of passive control on the complex dynamics of a nonlinear damping gyroscope. After modeling the gyroscope dynamics under the influence of the control force, using the harmonic balance method, the amplitudes of the harmonic oscillations are determin...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
|
| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2023/2036300 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849695222148104192 |
|---|---|
| author | Semedeton Olivier Hounnan Clement H. Miwadinou Vincent A. Monwanou |
| author_facet | Semedeton Olivier Hounnan Clement H. Miwadinou Vincent A. Monwanou |
| author_sort | Semedeton Olivier Hounnan |
| collection | DOAJ |
| description | This article deals with the analysis of the effects of passive control on the complex dynamics of a nonlinear damping gyroscope. After modeling the gyroscope dynamics under the influence of the control force, using the harmonic balance method, the amplitudes of the harmonic oscillations are determined. Subsequently, the Routh–Hurwitz criterion is used to analyze and determine the stability domains of the oscillations. The influence of the control force parameters on the amplitude of the oscillations is studied. The control of chaotic dynamics and the coexistence of gyroscope attractors are performed through bifurcation diagrams, Lyapunov exponents, phase portraits, and time series. Numerical simulations are used to confirm the effectiveness of the control force. This article revealed that the amplitude of the harmonic oscillations, the chaotic dynamics, and the coexistence of the attractors of the rotating gyroscope are better controlled when the latter vibrates in the opposite direction to the passive control force. |
| format | Article |
| id | doaj-art-a0f78e5d63c645fcbba2ad33db25d155 |
| institution | DOAJ |
| issn | 1687-5257 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-a0f78e5d63c645fcbba2ad33db25d1552025-08-20T03:19:50ZengWileyJournal of Control Science and Engineering1687-52572023-01-01202310.1155/2023/2036300Nonlinear Dynamics of a Nonlinear Damping Gyroscope and Its Passive ControlSemedeton Olivier Hounnan0Clement H. Miwadinou1Vincent A. Monwanou2Laboratory of Fluid Mechanics, Nonlinear Dynamics and Modeling of Biological Systems (LMFDNMSB)Laboratory of Fluid Mechanics, Nonlinear Dynamics and Modeling of Biological Systems (LMFDNMSB)Laboratory of Fluid Mechanics, Nonlinear Dynamics and Modeling of Biological Systems (LMFDNMSB)This article deals with the analysis of the effects of passive control on the complex dynamics of a nonlinear damping gyroscope. After modeling the gyroscope dynamics under the influence of the control force, using the harmonic balance method, the amplitudes of the harmonic oscillations are determined. Subsequently, the Routh–Hurwitz criterion is used to analyze and determine the stability domains of the oscillations. The influence of the control force parameters on the amplitude of the oscillations is studied. The control of chaotic dynamics and the coexistence of gyroscope attractors are performed through bifurcation diagrams, Lyapunov exponents, phase portraits, and time series. Numerical simulations are used to confirm the effectiveness of the control force. This article revealed that the amplitude of the harmonic oscillations, the chaotic dynamics, and the coexistence of the attractors of the rotating gyroscope are better controlled when the latter vibrates in the opposite direction to the passive control force.http://dx.doi.org/10.1155/2023/2036300 |
| spellingShingle | Semedeton Olivier Hounnan Clement H. Miwadinou Vincent A. Monwanou Nonlinear Dynamics of a Nonlinear Damping Gyroscope and Its Passive Control Journal of Control Science and Engineering |
| title | Nonlinear Dynamics of a Nonlinear Damping Gyroscope and Its Passive Control |
| title_full | Nonlinear Dynamics of a Nonlinear Damping Gyroscope and Its Passive Control |
| title_fullStr | Nonlinear Dynamics of a Nonlinear Damping Gyroscope and Its Passive Control |
| title_full_unstemmed | Nonlinear Dynamics of a Nonlinear Damping Gyroscope and Its Passive Control |
| title_short | Nonlinear Dynamics of a Nonlinear Damping Gyroscope and Its Passive Control |
| title_sort | nonlinear dynamics of a nonlinear damping gyroscope and its passive control |
| url | http://dx.doi.org/10.1155/2023/2036300 |
| work_keys_str_mv | AT semedetonolivierhounnan nonlineardynamicsofanonlineardampinggyroscopeanditspassivecontrol AT clementhmiwadinou nonlineardynamicsofanonlineardampinggyroscopeanditspassivecontrol AT vincentamonwanou nonlineardynamicsofanonlineardampinggyroscopeanditspassivecontrol |