Statistical library characterization using arbitrary polynomial chaos

2017 ◽  
Author(s):  
Mehmet Ince ◽  
Sule Ozev ◽  
Sarma Vrudhula
Keyword(s):  
Polynomial Chaos ◽  
Arbitrary Polynomial ◽  
Statistical Library ◽  
Library Characterization

Uncertainty Quantification and Missing Data for Turbomachinery With Probabilistic Equivalence and Arbitrary Polynomial Chaos, Applied to Scroll Compressors

2021 ◽  
Author(s):  
Nick Pepper ◽  
Francesco Montomoli ◽  
Sanjiv Sharma ◽  
Francesco Giacomel ◽  
Michele Pinelli ◽  
...  
Keyword(s):  
Missing Data ◽  
Uncertainty Quantification ◽  
Polynomial Chaos ◽  
Arbitrary Polynomial

Moment-Based Hybrid Polynomial Chaos Method for Interval and Random Uncertain Analysis of Periodical Composite Structural-Acoustic System with Multi-Scale Parameters

2020 ◽  
pp. 2050041
Author(s):  
Ning Chen ◽  
Jiaojiao Chen ◽  
Shengwen Yin
Keyword(s):  
Polynomial Chaos ◽  
Random Variable ◽  
Acoustic System ◽  
Passenger Compartment ◽  
Scale Parameters ◽  
Multi Scale ◽  
Arbitrary Polynomial ◽  
Random Moment ◽  
The Moment ◽  
Probability Density Function Pdf

An interval and random moment-based arbitrary polynomial chaos method (IRMAPCM) is proposed in this paper for the analysis of periodical composite structural-acoustic systems with multi-scale uncertain-but-bounded parameters. In IRMAPCM, the response of structural-acoustic system is approximated as moment-based arbitrary polynomial chaos (maPC) expansion. IRMAPCM can construct the polynomial basis according to the moment of the random variable without knowing the Probability Density Function (PDF), which can avoid the errors introduced by estimating the PDF. Numerical examples of a hexahedral box and an automobile passenger compartment are given to investigate the effectiveness of IRMAPCM for the prediction of the sound pressure response of structural-acoustic systems.

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