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Foundation of Statistical Energy Analysis in Vibroacoustics$
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A. Le Bot

Print publication date: 2015

Print ISBN-13: 9780198729235

Published to Oxford Scholarship Online: August 2015

DOI: 10.1093/acprof:oso/9780198729235.001.0001

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Modal Densities

Modal Densities

Chapter:
6 Modal Densities
Source:
Foundation of Statistical Energy Analysis in Vibroacoustics
Author(s):

A. Le Bot

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198729235.003.0006

The sequences of natural frequency are exhibited for various examples in structural vibration and acoustics. The asymptotic relationships of modal densities are then derived in, respectively, dimensions one, two, and three. The effect of boundaries and some correcting terms for the most common boundary conditions are also discussed.

Keywords:   modal density, natural frequency, eigenmode, eigenfrequency, phase-closure principle

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