Uncertainty analysis of a structural-acoustic problem using imprecise probabilities based on p-box representations

Chen, Ning, Yu, Dejie, Xia, Baizhan and Beer, Michael ORCID: 0000-0002-0611-0345 (2016) Uncertainty analysis of a structural-acoustic problem using imprecise probabilities based on p-box representations. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 80. pp. 45-57.

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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.

Item Type:	Article
Uncontrolled Keywords:	Finite element method (FEM), p-box, Interval analysis, Monte Carlo simulation, Epistemic uncertainty
Depositing User:	Symplectic Admin
Date Deposited:	07 Sep 2017 10:17
Last Modified:	19 Jan 2023 07:27
DOI:	10.1016/j.ymssp.2016.04.009
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3004108