Matrix formulation in Acoustics: the transfer matrix method.

• García-Raffi, Luis M. ^[1] ; Romero-García, Vicente ^[2] ; Cebrecos Ruíz, Alejandro ^[3] ; Herrero Durá, Iván ^[1]
  1. [1] Universidad Politécnica de Valencia

     Universidad Politécnica de Valencia

     Valencia, España

     
  2. [2] Laboratoire d'Acoustique de l'Universit\'e du Mans (LAUM), UMR CNRS 6613, Av. Olivier Messiaen, Le Mans.
  3. [3] Instituto de Instrumentación para Imagen Molecular (i3M). Universitat Politècnica de València-CSIC.

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• Localización: Modelling in Science Education and Learning, ISSN-e 1988-3145, Vol. 12, Nº. 2, 2019, págs. 153-164
• Idioma: español
• DOI: 10.4995/msel.2019.12148
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• Resumen

  • Matrices are introduced in mathematical subjects in connection with vector spaces and linear algebra, being disconnected from their applications in other fields of science and engineering studies. The transmission of this knowledge is done, in many occasions, in a purely theoretical manner and posing problems to students that are disconnected from applications. In this paper we present an application of matrix formalism  in acoustics: the transfer matrix method. It is a simple method widely used in transmission and reflection problems. For a system composed of a waveguide and an aluminum clamped plate subjected to the pressure of an acoustic wave, we can establish a simple connection between the matrix formalism, the use of vectors and the physical magnitudes.

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