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Wave component analysis of energy flow in complex structures - Part III: two coupled plates

Wave component analysis of energy flow in complex structures - Part III: two coupled plates
Wave component analysis of energy flow in complex structures - Part III: two coupled plates
A statistical, wave-based approach to the analysis of energy flow in structures is applied to example structures comprising two, regularly or irregularly coupled, rectangular plates. The approach, which is developed in two companion papers, is based on the expression of the response in terms of energy-bearing ‘wave components’ and a description of the structure in terms of 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 which vary randomly in detail. A ‘scalar random phase’ ensemble is defined in terms of a random distribution of the eigenvalues of the global scattering matrix product ST. Analytical expressions enable the ensemble mean and variance of energy responses over this ensemble to be found at low computational cost. Scalar random phase ensemble-based estimates of these statistics for regularly and irregularly coupled plate structures are found to be in good agreement with the results of Monte Carlo simulations.
0022-460X
251-265
Wester, E.C.N.
2230056f-1939-4661-924f-18d4ea8a2f6d
Mace, B.R.
681dd501-6313-441d-86e6-20a90fada824
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 III: two coupled plates. Journal of Sound and Vibration, 285 (1-2), 251-265. (doi:10.1016/j.jsv.2004.08.027).

Record type: Article

Abstract

A statistical, wave-based approach to the analysis of energy flow in structures is applied to example structures comprising two, regularly or irregularly coupled, rectangular plates. The approach, which is developed in two companion papers, is based on the expression of the response in terms of energy-bearing ‘wave components’ and a description of the structure in terms of 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 which vary randomly in detail. A ‘scalar random phase’ ensemble is defined in terms of a random distribution of the eigenvalues of the global scattering matrix product ST. Analytical expressions enable the ensemble mean and variance of energy responses over this ensemble to be found at low computational cost. Scalar random phase ensemble-based estimates of these statistics for regularly and irregularly coupled plate structures are found to be in good agreement with the results of Monte Carlo simulations.

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Published date: 2005

Identifiers

Local EPrints ID: 28498
URI: http://eprints.soton.ac.uk/id/eprint/28498
ISSN: 0022-460X
PURE UUID: 67dc84f6-987e-466c-a5db-36ef0f252b87

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Date deposited: 02 May 2006
Last modified: 15 Mar 2024 07:25

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Contributors

Author: E.C.N. Wester
Author: B.R. Mace

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