Details
| Original language | English |
|---|---|
| Article number | 107913 |
| Journal | Applied Acoustics |
| Volume | 177 |
| Early online date | 31 Jan 2021 |
| Publication status | Published - Jun 2021 |
Abstract
A new unified polynomial chaos expansion method, named as fuzzy and random moment-based arbitrary polynomial chaos method (FRMAPCM), is proposed for the response analysis of the composite structural–acoustic system with multi-scale fuzzy/bounded random uncertainties. In the FRMAPCM, the moment-based arbitrary polynomial chaos (MAPC) is adopted to construct the polynomial basis according to the moment of the bounded random variable. The coefficient of MAPC is calculated by using the Gauss integration method. For the fuzzy variable, the weight function of the Chebyshev polynomial is assumed as the probability density function (PDF) to yield the moment matrix. Compared with the conventional polynomial based method which constructs the polynomial basis according to the PDF of the random variable, the proposed FRMAPCM can avoid the error produced by the process of approximating the PDF. A numerical example is given to validate the proposed method, and two engineering examples are presented to demonstrate its efficiency and accuracy.
Keywords
- Composite structural–acoustic system, Fuzzy and bounded random variables, Moment-based arbitrary polynomial chaos method, Multi-scale uncertainties
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Acoustics and Ultrasonics
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In: Applied Acoustics, Vol. 177, 107913, 06.2021.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A fuzzy and random moment-based arbitrary polynomial chaos method for response analysis of composite structural–acoustic system with multi-scale uncertainties
AU - Zhu, Whenqing
AU - Hu, Yingbin
AU - Chen, Ning
AU - Liu, Jian
AU - Beer, Michael
N1 - Funding Information: The paper is supported by the Foundation for Innovative Research Groups of the National Natural Science Foundation of China (Grant No. 51621004), the National Natural Science Foundation of China (Grant No. 51905162), the Natural Science Foundation of Hunan Province (Grant No. 2019JJ50062) and the Fundamental Research Funds for the Central Universities (Grant No. 531107051148). The authors would also like to thank reviewers for their valuable suggestions.
PY - 2021/6
Y1 - 2021/6
N2 - A new unified polynomial chaos expansion method, named as fuzzy and random moment-based arbitrary polynomial chaos method (FRMAPCM), is proposed for the response analysis of the composite structural–acoustic system with multi-scale fuzzy/bounded random uncertainties. In the FRMAPCM, the moment-based arbitrary polynomial chaos (MAPC) is adopted to construct the polynomial basis according to the moment of the bounded random variable. The coefficient of MAPC is calculated by using the Gauss integration method. For the fuzzy variable, the weight function of the Chebyshev polynomial is assumed as the probability density function (PDF) to yield the moment matrix. Compared with the conventional polynomial based method which constructs the polynomial basis according to the PDF of the random variable, the proposed FRMAPCM can avoid the error produced by the process of approximating the PDF. A numerical example is given to validate the proposed method, and two engineering examples are presented to demonstrate its efficiency and accuracy.
AB - A new unified polynomial chaos expansion method, named as fuzzy and random moment-based arbitrary polynomial chaos method (FRMAPCM), is proposed for the response analysis of the composite structural–acoustic system with multi-scale fuzzy/bounded random uncertainties. In the FRMAPCM, the moment-based arbitrary polynomial chaos (MAPC) is adopted to construct the polynomial basis according to the moment of the bounded random variable. The coefficient of MAPC is calculated by using the Gauss integration method. For the fuzzy variable, the weight function of the Chebyshev polynomial is assumed as the probability density function (PDF) to yield the moment matrix. Compared with the conventional polynomial based method which constructs the polynomial basis according to the PDF of the random variable, the proposed FRMAPCM can avoid the error produced by the process of approximating the PDF. A numerical example is given to validate the proposed method, and two engineering examples are presented to demonstrate its efficiency and accuracy.
KW - Composite structural–acoustic system
KW - Fuzzy and bounded random variables
KW - Moment-based arbitrary polynomial chaos method
KW - Multi-scale uncertainties
UR - http://www.scopus.com/inward/record.url?scp=85100094842&partnerID=8YFLogxK
U2 - 10.1016/j.apacoust.2021.107913
DO - 10.1016/j.apacoust.2021.107913
M3 - Article
AN - SCOPUS:85100094842
VL - 177
JO - Applied Acoustics
JF - Applied Acoustics
SN - 0003-682X
M1 - 107913
ER -