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Dynamic analysis of two nonlinear inertial actuators in active vibration control

Dynamic analysis of two nonlinear inertial actuators in active vibration control
Dynamic analysis of two nonlinear inertial actuators in active vibration control
When an inertial actuator is used to control large amplitude vibrations of a structure, the proof mass will experience large displacements, which can lead to displacement saturation, resulting in large shocks to the structure. The collision between the proof mass and the end stops can generate potential damage to the
structure, as well as the destabilisation of the feedback control system, hence reducing its performance and stability. In this paper, a state space formulation is derived for a two degree of freedom structure with two stroke limited inertial actuators controlled by localised velocity feedback loop, resulting in a four degree of freedom system. The time responses of the system are simulated for a step input and the eigenvalues of the closed-loop state matrix are evaluated to assess the stability of the system. It is shown that the nonlinear system becomes unstable for control gains lower than those able to destabilise the underlying linear system, since the instability in one loop will destabilise the other.
1179-1193
Dal Borgo, Mattia
d2b1ebc3-8b5f-4bb1-8b73-c1012e45241d
Ghandchi Tehrani, Maryam
c2251e5b-a029-46e2-b585-422120a7bc44
Elliott, Stephen
721dc55c-8c3e-4895-b9c4-82f62abd3567
Dal Borgo, Mattia
d2b1ebc3-8b5f-4bb1-8b73-c1012e45241d
Ghandchi Tehrani, Maryam
c2251e5b-a029-46e2-b585-422120a7bc44
Elliott, Stephen
721dc55c-8c3e-4895-b9c4-82f62abd3567

Dal Borgo, Mattia, Ghandchi Tehrani, Maryam and Elliott, Stephen (2016) Dynamic analysis of two nonlinear inertial actuators in active vibration control. 27th International Conference on Noise and Vibration Engineering, Leuven, Belgium. 19 - 21 Sep 2016. pp. 1179-1193 .

Record type: Conference or Workshop Item (Paper)

Abstract

When an inertial actuator is used to control large amplitude vibrations of a structure, the proof mass will experience large displacements, which can lead to displacement saturation, resulting in large shocks to the structure. The collision between the proof mass and the end stops can generate potential damage to the
structure, as well as the destabilisation of the feedback control system, hence reducing its performance and stability. In this paper, a state space formulation is derived for a two degree of freedom structure with two stroke limited inertial actuators controlled by localised velocity feedback loop, resulting in a four degree of freedom system. The time responses of the system are simulated for a step input and the eigenvalues of the closed-loop state matrix are evaluated to assess the stability of the system. It is shown that the nonlinear system becomes unstable for control gains lower than those able to destabilise the underlying linear system, since the instability in one loop will destabilise the other.

Text
MDB-MGT-SJE_Dynamic Analysis of two Nonlinear Inertial Actuators in Active Vibration Control_ISMA2016 - Accepted Manuscript
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Published date: 21 September 2016
Venue - Dates: 27th International Conference on Noise and Vibration Engineering, Leuven, Belgium, 2016-09-19 - 2016-09-21

Identifiers

Local EPrints ID: 415802
URI: http://eprints.soton.ac.uk/id/eprint/415802
PURE UUID: 2c16676e-6e15-46b9-849c-5329ffc836e5

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Date deposited: 24 Nov 2017 17:30
Last modified: 16 Dec 2019 18:38

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Contributors

Author: Mattia Dal Borgo
Author: Stephen Elliott

University divisions

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