Spectral statistics in elastodynamics

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The fundamentals of acoustic modal statistics are investigated with a view toward applications in understanding fluctuation phenomena in room acoustics, statistical energy analysis, and diffuse field ultrasonics. It is conjectured that the spectral fluctuations of a linearly elastic body, like those of large nuclei, will fall into the universality class described by the Gaussian orthogonal ensemble of random matrices. This conjecture is strongly confirmed by a laboratory study of the higher eigenfrequencies of small aluminum blocks. Level repulsions and spectral rigidities are observed to conform to the predictions of random matrix theory.

Original languageEnglish (US)
Pages (from-to)1005-1013
Number of pages9
JournalJournal of the Acoustical Society of America
Issue number3
StatePublished - Mar 1989

ASJC Scopus subject areas

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics


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