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 -