Evidence-theory-based analysis for structural-acoustic field with epistemic uncertainties. (English) Zbl 1404.74062
Summary: 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.
MSC:
| 74H50 | Random vibrations in dynamical problems in solid mechanics |
| 65G30 | Interval and finite arithmetic |
| 74H45 | Vibrations in dynamical problems in solid mechanics |
Keywords:
structural-acoustic system response analysis; interval analysis; evidence theory; epistemic uncertaintyReferences:
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