Statistical response predictions in complex systems with dissipation

The eigenstatistics of damped complex systems are examined for the purpose of improving statistical response predictions such as those formulated in statistical energy analysis and statistical room acoustics. Both the statistical distribution of modal decay rates and the effect of dissipation on the intermodal correlations of natural frequency spectra are explored. It is found that for moderate damping the modal decay rates of complex systems are distributed according to a modified chi square distribution whose degree depends on the spatial distribution of lossy material in the system and the wavelength of the disturbance. In addition the intermodal correlations of the natural frequency spectra are found to correspond with the predictions of the Gaussian orthogonal ensemble (GOE) provided the system remains reverberant.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mechanical Science

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Burkhardt, John Albert

• Applied Mechanics
• Engineering, Mechanical

Statement dc:rights

• Copyright 1995 Burkhardt, John Albert

Language dc:language

eng

Identifier

AAI9543545
(UMI)AAI9543545

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/19599