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The equivalent impedance of power-minimising vibration controllers on plates

The equivalent impedance of power-minimising vibration controllers on plates
The equivalent impedance of power-minimising vibration controllers on plates
Strategies for the suppression of plate vibration are investigated by considering the equivalent impedance of power-minimising vibration controllers. The total power transmitted to a plate by both a primary and secondary point forces is used as a function to be minimised. If the system is linear, then the total power has a known minimum value that is associated with an optimal solution for the secondary force. This minimum power, applied to infinite and finite plates, has been compared to the power reduction that can be achieved with passive vibration treatments. The ratio of the optimal secondary force and the resultant velocity at the secondary force location is termed the equivalent impedance of the active control system, and if only a single primary source is present, this equivalent impedance is entirely reactive but generally unrealisable.
The approximation of the equivalent impedance by lumped parameter systems is considered. In particular, passive controllers, based on springs and dampers, have been analysed, although, in many practical applications, a rigid ground is not available to react these components off. The importance of this work lies in the practical approximation of these equivalent impedances with realisable passive systems.
0022-460X
47-67
Benassi, L.
c3a4d710-4e31-4437-b189-2b04f18c8f1e
Elliott, S.J.
4d1787f2-dcac-4ede-bc41-82ed658a9fac
Benassi, L.
c3a4d710-4e31-4437-b189-2b04f18c8f1e
Elliott, S.J.
4d1787f2-dcac-4ede-bc41-82ed658a9fac

Benassi, L. and Elliott, S.J. (2005) The equivalent impedance of power-minimising vibration controllers on plates. Journal of Sound and Vibration, 283 (1-2), 47-67. (doi:10.1016/j.jsv.2004.03.060).

Record type: Article

Abstract

Strategies for the suppression of plate vibration are investigated by considering the equivalent impedance of power-minimising vibration controllers. The total power transmitted to a plate by both a primary and secondary point forces is used as a function to be minimised. If the system is linear, then the total power has a known minimum value that is associated with an optimal solution for the secondary force. This minimum power, applied to infinite and finite plates, has been compared to the power reduction that can be achieved with passive vibration treatments. The ratio of the optimal secondary force and the resultant velocity at the secondary force location is termed the equivalent impedance of the active control system, and if only a single primary source is present, this equivalent impedance is entirely reactive but generally unrealisable.
The approximation of the equivalent impedance by lumped parameter systems is considered. In particular, passive controllers, based on springs and dampers, have been analysed, although, in many practical applications, a rigid ground is not available to react these components off. The importance of this work lies in the practical approximation of these equivalent impedances with realisable passive systems.

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Published date: 2005

Identifiers

Local EPrints ID: 28176
URI: http://eprints.soton.ac.uk/id/eprint/28176
ISSN: 0022-460X
PURE UUID: 7dac2f66-9ed7-48e8-965c-361f55dbdef7

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Date deposited: 28 Apr 2006
Last modified: 15 Jul 2019 19:11

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