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Discrete Singular Convolution Method for Acoustic Transmission Lines

Discrete Singular Convolution Method for Acoustic Transmission Lines Discrete singular convolution (DSC) algorithm is an accurate dynamic analysis method for single structures. However, vibration analysis of connected structures via the DSC method is limited to step beams and plates. This paper extends the applicability of the DSC method in handling acoustic transmission lines composed of several duct elements with different diameter ratios. Connections of elements are handled by setting up continuity equations at geometric discontinuities. Conformity of DSC equations at these connections is carried out using Taylor series expansion. In this study, natural frequencies, mode shapes and power transmission coefficients of acoustic transmission lines are performed to test the proposed DSC implementation. Power transmission coefficients are obtained through the two-load method using the data provided by the DSC approach. The results are compared with finite element method and analytical solutions (if applicable), and the analytical transfer matrix method is also used for validating the power transmission coefficients. This paper shows that the DSC method is accurate and reliable, and so applicable for acoustic transmission line analysis. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acoustics Australia Springer Journals

Discrete Singular Convolution Method for Acoustic Transmission Lines

Acoustics Australia , Volume 48 (2) – Aug 3, 2020

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Publisher
Springer Journals
Copyright
Copyright © Australian Acoustical Society 2020
ISSN
0814-6039
eISSN
1839-2571
DOI
10.1007/s40857-020-00185-3
Publisher site
See Article on Publisher Site

Abstract

Discrete singular convolution (DSC) algorithm is an accurate dynamic analysis method for single structures. However, vibration analysis of connected structures via the DSC method is limited to step beams and plates. This paper extends the applicability of the DSC method in handling acoustic transmission lines composed of several duct elements with different diameter ratios. Connections of elements are handled by setting up continuity equations at geometric discontinuities. Conformity of DSC equations at these connections is carried out using Taylor series expansion. In this study, natural frequencies, mode shapes and power transmission coefficients of acoustic transmission lines are performed to test the proposed DSC implementation. Power transmission coefficients are obtained through the two-load method using the data provided by the DSC approach. The results are compared with finite element method and analytical solutions (if applicable), and the analytical transfer matrix method is also used for validating the power transmission coefficients. This paper shows that the DSC method is accurate and reliable, and so applicable for acoustic transmission line analysis.

Journal

Acoustics AustraliaSpringer Journals

Published: Aug 3, 2020

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