Eigenmode statistic and power variances in randomly shaped membranes

Richard L. Weaver

Eigenmode statistic and power variances in randomly shaped membranes

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	Structural Dynamics of Large Scale and Complex Systems
Editors	Mo Shahinpoor, H.S. Tzou
Publisher	Publ by ASME
Pages	35-41
Number of pages	7
ISBN (Print)	079181176X
State	Published - Dec 1 1993
Externally published	Yes
Event	14th Biennial Conference on Mechanical Vibration and Noise - Albuquerque, NM, USA Duration: Sep 19 1993 → Sep 22 1993

Publication series

Name	American Society of Mechanical Engineers, Design Engineering Division (Publication) DE
Volume	59

Other

Other	14th Biennial Conference on Mechanical Vibration and Noise
City	Albuquerque, NM, USA
Period	9/19/93 → 9/22/93

ASJC Scopus subject areas

Engineering(all)

Cite this

Eigenmode statistic and power variances in randomly shaped membranes. / Weaver, Richard L.

Structural Dynamics of Large Scale and Complex Systems. ed. / Mo Shahinpoor; H.S. Tzou. Publ by ASME, 1993. p. 35-41 (American Society of Mechanical Engineers, Design Engineering Division (Publication) DE; Vol. 59).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Weaver, RL 1993, Eigenmode statistic and power variances in randomly shaped membranes. in M Shahinpoor & HS Tzou (eds), Structural Dynamics of Large Scale and Complex Systems. American Society of Mechanical Engineers, Design Engineering Division (Publication) DE, vol. 59, Publ by ASME, pp. 35-41, 14th Biennial Conference on Mechanical Vibration and Noise, Albuquerque, NM, USA, 9/19/93.

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ER -

Eigenmode statistic and power variances in randomly shaped membranes

Abstract

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ASJC Scopus subject areas

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