On the calculation of the acoustic eigenfrequencies for anisotropic materials with uncertainty

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Abstract

In this work a numerical method, based on a boundary integral formulation, is used to calculate approximately the acoustic eigenfrequencies or eigenvalues in a bounded domain filled with an anisotropic material. We assume that the knowledge about the anisotropy is uncertain or incomplete, and we use fuzzy numbers to model it. Using the Zadeh's extension principle and affine transformations, we get approximate fuzzy solutions to the posed problem. Finally some numerical examples are shown.

Original languageEnglish
Pages (from-to)330-335
Number of pages6
JournalApplied Mathematics and Computation
Volume230
DOIs
StatePublished - 1 Mar 2014
Externally publishedYes

Keywords

  • Acoustic eigenfrequencies
  • Anisotropic materials
  • Boundary Element Method
  • Extension principle
  • Fuzzy numbers

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