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The estimate and measurement of longitudinal wave intensity

The estimate and measurement of longitudinal wave intensity Quasi-longitudinal waves are one type of structural waves, which are important at high frequencies. This paper studies the estimate theory and measurement technique of quasi-longitudinal waves, analyzes the bias error due to the effect of bending waves. In a two-dimensional quasi-longitudinal wave field, the intensity vector is the sum of the effective intensity vector and the intensity variation vector. Its axial component is proportional to two imaginary parts of cross spectral densities and in the measurement, it is measured by a pair of two-transducer arrays. In a onedimensional quasi-longitudinal wave field, the intensity variation is zero, the intensity is proportional to only one imaginary part of a cross spectral density and it can be measured using a two-transducer array. If bending and quasi-longitudinal waves coexist and the contribution from bending waves cannot be eliminated or reduced to a certain extent, the measured quasi-longitudinal wave intensity will contain a large error. The results measured on the three-beam structure show that quasi-longitudinal wave intensity can be accurately measured using the intensity technique when bending waves are negligible in comparison with quasi-longitudinal waves. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mechanica Sinica Springer Journals

The estimate and measurement of longitudinal wave intensity

Ruisen, Ming
Acta Mechanica Sinica , Volume 12 (3) – Aug 15, 2006
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References (8)

Publisher
Springer Journals
Copyright
Copyright
Subject
Engineering; Theoretical and Applied Mechanics; Classical and Continuum Physics; Engineering Fluid Dynamics; Computational Intelligence
ISSN
0567-7718
eISSN
1614-3116
DOI
10.1007/BF02486811
Publisher site
See Article on Publisher Site

Abstract

Quasi-longitudinal waves are one type of structural waves, which are important at high frequencies. This paper studies the estimate theory and measurement technique of quasi-longitudinal waves, analyzes the bias error due to the effect of bending waves. In a two-dimensional quasi-longitudinal wave field, the intensity vector is the sum of the effective intensity vector and the intensity variation vector. Its axial component is proportional to two imaginary parts of cross spectral densities and in the measurement, it is measured by a pair of two-transducer arrays. In a onedimensional quasi-longitudinal wave field, the intensity variation is zero, the intensity is proportional to only one imaginary part of a cross spectral density and it can be measured using a two-transducer array. If bending and quasi-longitudinal waves coexist and the contribution from bending waves cannot be eliminated or reduced to a certain extent, the measured quasi-longitudinal wave intensity will contain a large error. The results measured on the three-beam structure show that quasi-longitudinal wave intensity can be accurately measured using the intensity technique when bending waves are negligible in comparison with quasi-longitudinal waves.

Journal

Acta Mechanica Sinica – Springer Journals

Published: Aug 15, 2006

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