Eigenmode statistic and power variances in randomly shaped membranes

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The eigenmodes and eigenfrequencies of finite differenced membranes with rough boundaries are obtained numerically. Such systems are approximations to reverberation rooms. The statistics of the eigenfrequencies are found to be identical to those of the Gaussian Orthogonal Ensemble (GOE) of random matrices. The Wigner conjecture that the modes may be understood to be uncorrelated random superpositions of plane waves with no significant inter-modal correlations is also corroborated. The consequences of these eigen-statistics upon the statistics of responses are discussed.

Original languageEnglish (US)
Title of host publicationStructural Dynamics of Large Scale and Complex Systems
EditorsMo Shahinpoor, H.S. Tzou
PublisherPubl by ASME
Pages35-41
Number of pages7
ISBN (Print)079181176X
StatePublished - Dec 1 1993
Externally publishedYes
Event14th Biennial Conference on Mechanical Vibration and Noise - Albuquerque, NM, USA
Duration: Sep 19 1993Sep 22 1993

Publication series

NameAmerican Society of Mechanical Engineers, Design Engineering Division (Publication) DE
Volume59

Other

Other14th Biennial Conference on Mechanical Vibration and Noise
CityAlbuquerque, NM, USA
Period9/19/939/22/93

ASJC Scopus subject areas

  • Engineering(all)

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