Spectral statistics in damped systems .1. Modal decay rate statistics

被引:13
作者
Burkhardt, J
Weaver, RL
机构
[1] PURDUE UNIV,DEPT ENGN,FT WAYNE,IN 46805
[2] UNIV ILLINOIS,DEPT THEORET & APPL MECH,URBANA,IL 61801
关键词
D O I
10.1121/1.415881
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
A revised model for the statistical distribution of eigenmode decay rates in complex acoustic systems is presented. Analytical predictions based on a real-valued diffuse field description of modal amplitudes indicate that modal decay rates should be distributed according to a modified chi-square distribution. Numerical experiments performed on damped, irregularly shaped membranes indicate that the chi-square distribution is accurate, provided the membrane is sufficiently lightly damped. For high dissipation levels, as measured by the mean modal overlap, the observed decay rates increasingly disagree with the prediction. (C) 1996 Acoustical Society of America.
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页码:320 / 326
页数:7
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