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.

1.
Everstine
,
G. C.
, 1997, “
Finite Element Formulations of Structural Acoustic Problems
,”
Comput. Struct.
0045-7949,
65
(
3
), pp.
307
321
.
2.
Seybert
,
A. F.
,
Hanmilton
,
D. A.
, and
Hayes
,
P. A.
, 1998, “
Prediction of Radiated Noise From Machine Components Using the BEM and the Rayleigh Integral
,”
Noise Control Eng. J.
0736-2501,
46
(
3
), pp.
77
82
.
3.
Li
,
S.
, 2005, “
An Efficient Technique for Multi-Frequency Acoustic Analysis by Boundary Element Method
,”
J. Sound Vib.
0022-460X,
283
, pp.
971
980
.
4.
Renji
,
K.
,
Nair
,
P. S.
, and
Narayanan
,
S.
, 2006, “
Acoustic Response Behaviour of Panels Mounted With Equipment and Its Prediction Using Statistical Energy Analysis
,”
J. Sound Vib.
0022-460X,
289
, pp.
851
870
.
5.
Moens
,
I.
,
Vandepitte
,
D.
, and
Sas
,
P.
, 1999, “
Vibro-Acoustic Energy Flow Models Implemented by Finite Elements
,”
Proceedings of the International Seminar on Modal Analysis
, Vol.
2
, pp.
853
858
.
6.
Kim
,
N. H.
,
Dong
,
J.
, and
Choi
,
K. K.
, 2004, “
Energy Flow Analysis and Design Sensitivity Analysis of Structural-Acoustic Problems at High Frequencies
,”
J. Sound Vib.
0022-460X,
269
, pp.
213
250
.
7.
Ma
,
Z. D.
, and
Hagiwara
,
I.
, 1991, “
Sensitivity Analysis-Method for Coupled Acoustic-Structural Systems, Part 1: Modal Sensitivities
,”
AIAA J.
0001-1452,
29
, pp.
1787
1795
.
8.
Ma
,
Z. D.
, and
Hagiwara
,
I.
, 1991, “
Sensitivity Analysis-Method for Coupled Acoustic-Structural Systems, Part 2: Direct Frequency-Response and Its Sensitivities
,”
AIAA J.
0001-1452,
29
, pp.
1796
1801
.
9.
Cunefare
,
K. A.
, and
Koopmann
,
G. H.
, 1992, “
Acoustic Design Sensitivity for Structural Radiators
,”
ASME J. Vibr. Acoust.
0739-3717,
114
, pp.
178
186
.
10.
Luo
,
J. H.
, and
Gea
,
H. C.
, 1997, “
Modal Sensitivity Analysis of Coupled Acoustic-Structural Systems
,”
ASME J. Vibr. Acoust.
0739-3717,
119
, pp.
545
550
.
11.
Wang
,
S.
, and
Lee
,
J.
, 1998, “
Global Acoustic Design Sensitivity Analysis Using Direct BEM and Continuum DSA
,”
AIAA J.
0001-1452,
47
, pp.
483
489
.
12.
Wang
,
S.
, and
Lee
,
J.
, 2001, “
Acoustic Design Sensitivity Analysis and Optimization for Reduced Exterior Noise
,”
AIAA J.
0001-1452,
39
(
4
), pp.
574
580
.
13.
Kim
,
N. H.
,
Dong
,
J.
,
Choi
,
K. K.
,
Vlahopoulos
,
N.
,
Ma
,
Z. D.
,
Castanier
,
M. P.
, and
Pierre
,
C.
, 2003, “
Design Sensitivity Analysis for a Sequential Structural-Acoustic Problem
,”
J. Sound Vib.
0022-460X,
263
(
3
), pp.
569
591
.
14.
Allen
,
M. J.
, and
Vlahopoulos
,
N.
, 2000, “
Integration of Finite Element and Boundary Element Methods for Calculating the Radiation Sound From a Random Excited Structure
,”
Comput. Struct.
0045-7949,
77
, pp.
155
169
.
15.
Allen
,
M. J.
,
Sbragio
,
R.
, and
Vlahopoulos
,
N.
, 2001, “
Structural/Acoustic Sensitivity Analysis of a Structure Subjected to Stochastic Excitation
,”
AIAA J.
0001-1452,
39
, pp.
1270
1279
.
16.
Chung
,
Y. T.
, and
Foist
,
B. L.
, 2007, “
Evaluation of Acoustic Component Coupling to the Vibroacoustic Response Predictions
,”
Proceedings of the 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
, Paper No. AIAA-2007-2061.
17.
Chen
,
G.
,
Zhao
,
G. Z.
, and
Chen
,
B. S.
, 2009, “
Sensitivity Analysis Coupled Structural-Acoustic Systems Subjected to Stochastic Excitation
,”
Struct. Multidiscip. Optim.
1615-147X,
39
, pp.
105
113
.
18.
Jiahao
,
L.
, 1992, “
A Fast CQC Algorithm of PSD Matrices for Random Seismic Responses
,”
Comput. Struct.
0045-7949,
44
, pp.
683
687
.
19.
Clough
,
R. W.
, and
Penzien
,
J.
, 1994,
Dynamics of Structures
, 2nd ed.,
McGraw-Hill
,
New York
.
20.
Lin
,
J. H.
,
Zhao
,
Y.
, and
Zhang
,
Y. H.
, 2001, “
Accurate and Highly Efficient Algorithms for Structural Stationary/Non-Stationary Random Responses
,”
Comput. Methods Appl. Mech. Eng.
0045-7825,
191
, pp.
103
111
.
21.
Courant
,
R.
, and
Hilbert
,
D.
, 1953,
Methods of Mathematical Physics
, Vol.
1
,
Interscience
,
New York
.
22.
Dai
,
X. J.
, 2007, “
PEM Based Random Vibration Analysis of Composite Structures and Its Applications in Aero/Astro-Nautical Engineering
,” Ph.D. thesis, Dalian University of Technology, Dalian, China.
23.
Lin
,
J. H.
,
Zhang
,
W. S.
, and
Li
,
J. J.
, 1994, “
Structural Responses to Arbitrarily Coherent Stationary Random Excitations
,”
Comput. Struct.
0045-7949,
50
, pp.
629
633
.
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