A fuzzy and random moment-based arbitrary polynomial chaos method for response analysis of composite structural–acoustic system with multi-scale uncertainties

verfasst von

Whenqing Zhu, Yingbin Hu, Ning Chen, Jian Liu, Michael Beer

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.

Organisationseinheit(en)

Institut für Risiko und Zuverlässigkeit

Externe Organisation(en)

The University of Liverpool
Tongji University
Hunan University

Typ

Artikel

Journal

Applied Acoustics

Band

177

ISSN

0003-682X

Publikationsdatum

06.2021

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Akustik und Ultraschall

Elektronische Version(en)

https://doi.org/10.1016/j.apacoust.2021.107913 (Zugang: Geschlossen)