Comparison of quadrature and regression based generalized polynomial chaos expansions for structural acoustics

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This work performs a direct comparison between non-intrusive generalized polynomial chaos (GPC) expansion techniques applied to structural acoustic problems. Broadly, the GPC techniques are grouped in two categories: quadrature, where the stochastic sampling is predetermined according to a quadrature rule; and regression, where point selection schemes are devised to generate a representative sample of the random input. As a baseline comparison, Monte Carlo type simulations are also performed although they take many more sampling points. The test problems considered include both canonical and more applied cases that exemplify the features and types of calculations commonly arising in vibrations and acoustics. A range of different numbers of random input variables are considered. The primary point of comparison between the methods is the number of sampling points they require to generate an accurate GPC expansion. This is due to the general consideration that the most expensive part of a GPC analysis is evaluating the deterministic problem of interest; thus the method with the fewest sampling points will often be the fastest. Accuracy of each GPC expansion is judged using several metrics including basic statistical moments as well as features of the actual reconstructed probability density function.

Original languageEnglish (US)
Title of host publicationProceedings of INTER-NOISE 2021 - 2021 International Congress and Exposition of Noise Control Engineering
EditorsTyler Dare, Stuart Bolton, Patricia Davies, Yutong Xue, Gordon Ebbitt
PublisherThe Institute of Noise Control Engineering of the USA, Inc.
ISBN (Electronic)9781732598652
DOIs
StatePublished - 2021
Event50th International Congress and Exposition of Noise Control Engineering, INTER-NOISE 2021 - Washington, United States
Duration: Aug 1 2021Aug 5 2021

Publication series

NameProceedings of INTER-NOISE 2021 - 2021 International Congress and Exposition of Noise Control Engineering

Conference

Conference50th International Congress and Exposition of Noise Control Engineering, INTER-NOISE 2021
Country/TerritoryUnited States
CityWashington
Period8/1/218/5/21

All Science Journal Classification (ASJC) codes

  • Acoustics and Ultrasonics

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