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Research Papers

PEM Based Sensitivity Analysis for Acoustic Radiation Problems of Random Responses

[+] Author and Article Information
Baoshan Liu

Department of Engineering Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, P.R. China

Guozhong Zhao1

Department of Engineering Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, P.R. Chinazhaogz@dlut.edu.cn

Alex Li

Laboratory of Mechanics, Materials and Structures, University of Reims Champagne Ardenne, Rue des Craye’res BP135, 51687 Reims, France

1

Corresponding author.

J. Vib. Acoust 132(2), 021012 (Mar 18, 2010) (11 pages) doi:10.1115/1.4000776 History: Received January 13, 2009; Revised December 07, 2009; Published March 18, 2010; Online March 18, 2010

A new effective method for computing the acoustic radiation and its sensitivity analysis of a structure subjected to stochastic excitation is presented. Previous work in the area of structural and acoustic sensitivity analysis systems was mostly focused on the deterministic excitation. New methods are developed to account for stochastic excitation. The structural-acoustic response is calculated using finite element method and boundary element method combined with stochastic analysis techniques. An accurate and highly efficient algorithm series for structural stationary random response analysis, pseudo-excitation method (PEM), is extended to acoustic random analysis in this paper, which was used to calculate structural random analysis in the past. So the acoustic radiation problems of random responses are transformed to the structural-acoustic harmonic analyses. This is a time-saving progress in comparison with traditional method. Based on the PEM, the acoustic radiation sensitivities of the structure are developed in emphasis that are transformed to harmonic sensitivity analyses. They are validated by comparing with the results of finite difference sensitivity method. Numerical examples are given to demonstrate the effectiveness of the methods and the program.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

Pseudo-excitation and response for an SIMO system

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Figure 2

Domain definition with finite surface S in free space V

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Figure 3

Geometry model of cylinder

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Figure 4

Finite element model of cylinder with different meshes: (a), (b), and (c)

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Figure 5

Structure used in the numerical calculations

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Figure 6

Thickness configurations for the top plate of the box: thickness configuration 1 and thickness configuration 2

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Figure 7

SPL response of the box at SR points

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Figure 8

SPL response for the box at SR points

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