Interval Analysis of Interior Acoustic Field with Element-By-Element-Based Interval Finite-Element Method
Publication: Journal of Engineering Mechanics
Volume 147, Issue 11
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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Data Availability Statement
All data and models that support the findings of this study are available from the corresponding author upon reasonable request.
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Journal of Engineering Mechanics
Volume 147 • Issue 11 • November 2021
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© 2021 American Society of Civil Engineers.
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Received: Nov 23, 2020
Accepted: Mar 22, 2021
Published online: Aug 20, 2021
Published in print: Nov 1, 2021
Discussion open until: Jan 20, 2022
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