Interval Analysis of Interior Acoustic Field with Element-By-Element-Based Interval Finite-Element Method

Abstract

This paper presents an element-by-element-based interval finite-element method (EBE-IFEM) for the uncertain interior acoustic field prediction with uncertain-but-bounded parameters. The interval dynamic matrices and loads vectors are assembled with the element-by-element (EBE) strategy, and decomposed into diagonalization forms additionally. Then the interval dynamic equation can be rewritten as iterative enclosure form, and finally are analyzed by both Rump’s method and the Neumaier-Pownuk method in the comparative discussion. Meanwhile, numerical examples are calculated with the interval perturbation finite-element method (IPFEM), modified interval finite-element method (MIPFEM), and Monte Carlo simulation. The numerical results demonstrate that the solution by the EBE-IFEM shows more accurate and more stable than other cross-references, when evaluating the intervals of sound pressure response in interior acoustic field.

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