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The ensemble statistics of the energy of a random system subjected to harmonic excitation

Langley, RS and Brown, AWM (2004) The ensemble statistics of the energy of a random system subjected to harmonic excitation. Journal of Sound and Vibration, 275. pp. 823-846. ISSN 0022-460X

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Abstract

This paper is concerned with the ensemble statistics of the response to harmonic excitation of a single dynamic system such as a plate or an acoustic volume. Random point process theory is employed, and various statistical assumptions regarding the system natural frequencies are compared, namely: (i) Poisson natural frequency spacings, (ii) statistically independent Rayleigh natural frequency spacings, and (iii) natural frequency spacings conforming to the Gaussian orthogonal ensemble (GOE). The GOE is found to be the most realistic assumption, and simple formulae are derived for the variance of the energy of the system under either point loading or rain-on-the-roof excitation. The theoretical results are compared favourably with numerical simulations and experimental data for the case of a mass loaded plate. © 2003 Elsevier Ltd. All rights reserved.

Item Type: Article
Subjects: UNSPECIFIED
Divisions: Div C > Applied Mechanics
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:40
Last Modified: 17 Dec 2014 19:02
DOI: 10.1016/S0022-460X(03)00780-6