Wave component analysis of energy flow in complex structures - Part II: ensemble statistics
Wave component analysis of energy flow in complex structures - Part II: ensemble statistics
A wave-based method is presented for the analysis of high-frequency vibrations in complex structures. The response of the structure to external forcing is described in terms of generalised, energy-bearing wave components, and the structure is represented by global subsystem and junction wave component scattering matrices, S and T. Uncertainty in the properties of the structure is taken into account by assuming that the structure is drawn from an ensemble of structures that differ randomly in detail. A ‘scalar random phase’ ensemble is defined in terms of random eigenvalues of the product ST of the scattering matrices, and analytical expressions are derived for the average and variance of the energy responses over this ensemble. The scalar random phase ensemble is thought to be a reasonable approximation to many practical ensembles and the approach provides a means for estimating response statistics at relatively low computational cost.
229-250
Wester, E.C.N.
2230056f-1939-4661-924f-18d4ea8a2f6d
Mace, B.R.
681dd501-6313-441d-86e6-20a90fada824
2005
Wester, E.C.N.
2230056f-1939-4661-924f-18d4ea8a2f6d
Mace, B.R.
681dd501-6313-441d-86e6-20a90fada824
Wester, E.C.N. and Mace, B.R.
(2005)
Wave component analysis of energy flow in complex structures - Part II: ensemble statistics.
Journal of Sound and Vibration, 285 (1-2), .
(doi:10.1016/j.jsv.2004.08.026).
Abstract
A wave-based method is presented for the analysis of high-frequency vibrations in complex structures. The response of the structure to external forcing is described in terms of generalised, energy-bearing wave components, and the structure is represented by global subsystem and junction wave component scattering matrices, S and T. Uncertainty in the properties of the structure is taken into account by assuming that the structure is drawn from an ensemble of structures that differ randomly in detail. A ‘scalar random phase’ ensemble is defined in terms of random eigenvalues of the product ST of the scattering matrices, and analytical expressions are derived for the average and variance of the energy responses over this ensemble. The scalar random phase ensemble is thought to be a reasonable approximation to many practical ensembles and the approach provides a means for estimating response statistics at relatively low computational cost.
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Published date: 2005
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Local EPrints ID: 28497
URI: http://eprints.soton.ac.uk/id/eprint/28497
ISSN: 0022-460X
PURE UUID: 96db79e8-01fc-4674-b2ec-431a8eb55c40
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Date deposited: 02 May 2006
Last modified: 15 Mar 2024 07:25
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Author:
E.C.N. Wester
Author:
B.R. Mace
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