Evidence-Theory-Based Analysis for Structural-Acoustic Field with Epistemic Uncertainties

Longxiang Xie · Jian Liu · Xianfeng Man

15 citations0/0 files storedInternational Journal of Computational Methods

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Probabilistic and Robust Engineering Design Structural Health Monitoring Techniques Fuzzy Systems and Optimization

Abstract

Evidence theory has a strong capacity to deal with epistemic uncertainty, in view of the overestimation in interval analysis, the responses of structural-acoustic problem with epistemic uncertainty could be untreated. In this paper, a numerical method is proposed for structural-acoustic system response analysis under epistemic uncertainties based on evidence theory. To improve the calculation accuracy and reduce the computational cost, the interval analysis technique and radial point interpolation method are adopted to obtain the approximate frequency response characteristics for each focal element, and the corresponding formulations of structural-acoustic system for interval response analysis are deduced. Numerical examples are introduced to illustrate the efficiency of the proposed method.

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References

2008The stochastic finite element method: Past, present and future 1994Propagation of Uncertainty in Risk Assessments: The Need to Distinguish Between Uncertainty Due to Lack of Knowledge and Uncertainty Due to Variability 1997Analysis of Uncertain Structural Systems Using Interval Analysis 2004An exploration of alternative approaches to the representation of uncertainty in model predictions 2004An approximation approach for uncertainty quantification using evidence theory 2004Epistemic uncertainty quantification techniques including evidence theory for large-scale structures 2013A novel evidence-theory-based reliability analysis method for structures with epistemic uncertainty 2007The static displacement and the stress analysis of structures with bounded uncertainties using the vertex solution theorem

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