Simulation study of active vibration control of planetary gear: theoretical and numerical analysis using pole placement
Simulation study of active vibration control of planetary gear: theoretical and numerical analysis using pole placement
This paper presents analytical and numerical studies on the active assignment of poles to a planetary gear system for vibration control in order to avoid resonance. This involves feeding back the displacement and velocity to add active stiffness and damping respectively. A rotating frame of reference has been adopted in order to describe the dynamics over a broad range of rotational speed. As an illustration, the closed loop poles were assigned to the translational directions of the sun gear first
and thereafter the carrier. This can be achieved by placing the actuators on the outer race of their bearings mounted onto their shafts. The controller was designed such that the closed loop poles can be assigned considering the rotational speed. In this way, it is possible to apply a robust pole-placement that is insensitive to the rotational speed.
Numerical examples, where sensors and actuators were collocated, are presented to demonstrate the feasibility of the method when applied to a physical system. The results shows that the active control force and power required for the system, when rotating, can be determined using a rotating frame of reference and transformed for practical implementation. In addition, the same conjugate poles were assigned to
the carrier and sun gear and the optimal place to apply control forces was discovered. This depends upon the control power required to shift the poles from one location to another. The results show that more control power will be required to shift the poles of the system when poles were assigned to the sun gear, where higher active bearing stiffness was required. Therefore, the optimal place to assign poles in this case is the
carrier due to lower control power required to shift the system poles.
active control, control power, mesh excitation, pole placement, rotating system, Pole placement
1543-1559
Olanipekun, Kolade Abiola
3d7fef53-8a74-4b94-a64e-4de73a117050
Rustighi, Emiliano
9544ced4-5057-4491-a45c-643873dfed96
Ferguson, Neil
8cb67e30-48e2-491c-9390-d444fa786ac8
December 2023
Olanipekun, Kolade Abiola
3d7fef53-8a74-4b94-a64e-4de73a117050
Rustighi, Emiliano
9544ced4-5057-4491-a45c-643873dfed96
Ferguson, Neil
8cb67e30-48e2-491c-9390-d444fa786ac8
Olanipekun, Kolade Abiola, Rustighi, Emiliano and Ferguson, Neil
(2023)
Simulation study of active vibration control of planetary gear: theoretical and numerical analysis using pole placement.
Journal of Low Frequency Noise, Vibration and Active Control, 42 (4), .
(doi:10.1177/14613484231177652).
Abstract
This paper presents analytical and numerical studies on the active assignment of poles to a planetary gear system for vibration control in order to avoid resonance. This involves feeding back the displacement and velocity to add active stiffness and damping respectively. A rotating frame of reference has been adopted in order to describe the dynamics over a broad range of rotational speed. As an illustration, the closed loop poles were assigned to the translational directions of the sun gear first
and thereafter the carrier. This can be achieved by placing the actuators on the outer race of their bearings mounted onto their shafts. The controller was designed such that the closed loop poles can be assigned considering the rotational speed. In this way, it is possible to apply a robust pole-placement that is insensitive to the rotational speed.
Numerical examples, where sensors and actuators were collocated, are presented to demonstrate the feasibility of the method when applied to a physical system. The results shows that the active control force and power required for the system, when rotating, can be determined using a rotating frame of reference and transformed for practical implementation. In addition, the same conjugate poles were assigned to
the carrier and sun gear and the optimal place to apply control forces was discovered. This depends upon the control power required to shift the poles from one location to another. The results show that more control power will be required to shift the poles of the system when poles were assigned to the sun gear, where higher active bearing stiffness was required. Therefore, the optimal place to assign poles in this case is the
carrier due to lower control power required to shift the system poles.
Text
Simulation Study of Active vibration control of planetary
- Accepted Manuscript
Text
olanipekun-et-al-2023-simulation-study-of-active-vibration-control-of-planetary-gear-theoretical-and-numerical-analysis
- Version of Record
More information
Accepted/In Press date: 7 May 2023
e-pub ahead of print date: 31 May 2023
Published date: December 2023
Additional Information:
Funding Information:
The authors would like to appreciate the Tertiary Education Trust Fund (TETFUND), Nigeria, Institution of Mechanical Engineers, United Kingdom and University of Southampton, United Kingdom for studentship support. The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This work was supported by the Tertiary Education Trust Fund and University of Southampton, United Kingdom.
Publisher Copyright:
© The Author(s) 2023.
Keywords:
active control, control power, mesh excitation, pole placement, rotating system, Pole placement
Identifiers
Local EPrints ID: 477568
URI: http://eprints.soton.ac.uk/id/eprint/477568
ISSN: 1461-3484
PURE UUID: 421496ff-ef29-41a1-a5cd-02efd591865b
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Date deposited: 08 Jun 2023 16:45
Last modified: 17 Mar 2024 02:32
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