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Theoretical analysis of the sound absorption characteristics of periodically stiffened micro-perforated plates

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Abstract

The vibro-acoustic responses and sound absorption characteristics of two kinds of periodically stiffened micro-perforated plates are analyzed theoretically. The connected periodical structures of the stiffened plates can be ribs or block-like structures. Based on fundamental acoustic formulas of the micro-perforated plate of Maa and Takahashi, semi-analytical models of the vibrating stiffened plates are developed in this paper. Approaches like the space harmonicmethod, Fourier transforms and finite elementmethod (FEM) are adopted to investigate both kinds of the stiffened plates. In the present work, the vibro-acoustic responses of micro-perforated stiffened plates in the wavenumber space are expressed as functions of plate displacement amplitudes. After approximate numerical solutions of the amplitudes, the vibration equations and sound absorption coefficients of the two kinds of stiffened plates in the physical space are then derived by employing the Fourier inverse transform. In numerical examples, the effects of some physical parameters, such as the perforation ratio, incident angles and periodical distances etc., on the sound absorption performance are examined. The proposed approaches are also validated by comparing the present results with solutions of Takahashi and previous studies of stiffened plates. Numerical results indicate that the flexural vibration of the plate has a significant effect on the sound absorption coefficient in the water but has little influence in the air.

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Author information

Authors and Affiliations

  1. School of Mechanical Engineering, Shandong University of Technology, 255049, Zibo, China

    Hai-An Zhou

  2. School of Mechanical Engineering, Dalian University of Technology, 116024, Dalian, China

    Xiao-Ming Wang

  3. School of Automotive Engineering, Dalian University of Technology, 116024, Dalian, China

    Yu-Lin Mei

Authors
  1. Hai-An Zhou
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  2. Xiao-Ming Wang
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  3. Yu-Lin Mei
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Corresponding author

Correspondence to Hai-An Zhou.

Additional information

The project was supported by the National Natural Science Foundation of China (51405276 and 50875030).

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Zhou, HA., Wang, XM. & Mei, YL. Theoretical analysis of the sound absorption characteristics of periodically stiffened micro-perforated plates. Acta Mech Sin 30, 714–726 (2014). https://doi.org/10.1007/s10409-014-0048-3

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  • DOI: https://doi.org/10.1007/s10409-014-0048-3

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