Details
| Original language | English |
|---|---|
| Pages (from-to) | 45-57 |
| Number of pages | 13 |
| Journal | Mechanical Systems and Signal Processing |
| Volume | 80 |
| Early online date | 13 Apr 2016 |
| Publication status | Published - 1 Dec 2016 |
Abstract
Imprecise probabilities can capture epistemic uncertainty, which reflects limited available knowledge so that a precise probabilistic model cannot be established. In this paper, the parameters of a structural–acoustic problem are represented with the aid of p-boxes to capture epistemic uncertainty in the model. To perform the necessary analysis of the structural–acoustic problem with p-boxes, a first-order matrix decomposition perturbation method (FMDPM) for interval analysis is proposed, and an efficient interval Monte Carlo method based on FMDPM is derived. In the implementation of the efficient interval Monte Carlo method based on FMDPM, constant matrices are obtained, first, through an uncertain parameter extraction on the basis of the matrix decomposition technique. Then, these constant matrices are employed to perform multiple interval analyses by using the first-order perturbation method. A numerical example is provided to illustrate the feasibility and effectiveness of the presented approach.
Keywords
- Epistemic uncertainty, Finite element method (FEM), Interval analysis, Monte Carlo simulation, p-box
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
- Computer Science(all)
- Signal Processing
- Engineering(all)
- Civil and Structural Engineering
- Engineering(all)
- Aerospace Engineering
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computer Science Applications
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In: Mechanical Systems and Signal Processing, Vol. 80, 01.12.2016, p. 45-57.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Uncertainty analysis of a structural–acoustic problem using imprecise probabilities based on p-box representations
AU - Chen, Ning
AU - Yu, Dejie
AU - Xia, Baizhan
AU - Beer, Michael
N1 - Funding Information: The paper is supported by National Natural Science Foundation of China (No. 11572121 ), Independent Research Project of State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body in Hunan University (Grant no. 71375004 ), and Hunan Provincial Innovation Foundation for Postgraduate ( CX2014B147 ).
PY - 2016/12/1
Y1 - 2016/12/1
N2 - Imprecise probabilities can capture epistemic uncertainty, which reflects limited available knowledge so that a precise probabilistic model cannot be established. In this paper, the parameters of a structural–acoustic problem are represented with the aid of p-boxes to capture epistemic uncertainty in the model. To perform the necessary analysis of the structural–acoustic problem with p-boxes, a first-order matrix decomposition perturbation method (FMDPM) for interval analysis is proposed, and an efficient interval Monte Carlo method based on FMDPM is derived. In the implementation of the efficient interval Monte Carlo method based on FMDPM, constant matrices are obtained, first, through an uncertain parameter extraction on the basis of the matrix decomposition technique. Then, these constant matrices are employed to perform multiple interval analyses by using the first-order perturbation method. A numerical example is provided to illustrate the feasibility and effectiveness of the presented approach.
AB - Imprecise probabilities can capture epistemic uncertainty, which reflects limited available knowledge so that a precise probabilistic model cannot be established. In this paper, the parameters of a structural–acoustic problem are represented with the aid of p-boxes to capture epistemic uncertainty in the model. To perform the necessary analysis of the structural–acoustic problem with p-boxes, a first-order matrix decomposition perturbation method (FMDPM) for interval analysis is proposed, and an efficient interval Monte Carlo method based on FMDPM is derived. In the implementation of the efficient interval Monte Carlo method based on FMDPM, constant matrices are obtained, first, through an uncertain parameter extraction on the basis of the matrix decomposition technique. Then, these constant matrices are employed to perform multiple interval analyses by using the first-order perturbation method. A numerical example is provided to illustrate the feasibility and effectiveness of the presented approach.
KW - Epistemic uncertainty
KW - Finite element method (FEM)
KW - Interval analysis
KW - Monte Carlo simulation
KW - p-box
UR - http://www.scopus.com/inward/record.url?scp=84964324815&partnerID=8YFLogxK
U2 - 10.1016/j.ymssp.2016.04.009
DO - 10.1016/j.ymssp.2016.04.009
M3 - Article
AN - SCOPUS:84964324815
VL - 80
SP - 45
EP - 57
JO - Mechanical Systems and Signal Processing
JF - Mechanical Systems and Signal Processing
SN - 0888-3270
ER -