CUED Publications database

The ensemble statistics of the band-averaged energy of a random system

Langley, RS and Brown, AWM (2004) The ensemble statistics of the band-averaged energy of a random system. Journal of Sound and Vibration, 275. pp. 847-857. ISSN 0022-460X

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Abstract

This paper is concerned with the response statistics of a dynamic system that has random properties. The frequency-band-averaged energy of the system is considered, and a closed form expression is derived for the relative variance of this quantity. The expression depends upon three parameters: the modal overlap factor m, a bandwidth parameter B, and a parameter α that defines the nature of the loading (for example single point forcing or rain-on-the-roof loading). The result is applicable to any single structural component or acoustic volume, and a comparison is made here with simulation results for a mass loaded plate. Good agreement is found between the simulations and the theory. © 2003 Published by Elsevier Ltd.

Item Type: Article
Subjects: UNSPECIFIED
Divisions: Div C > Applied Mechanics
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:40
Last Modified: 14 Dec 2014 02:45
DOI: 10.1016/j.jsv.2003.07.010