Implementación del método de elementos finitos como técnica parala generación de Beamforming

This work implements the FEM finite element method for the generation of simulations that allows the studyof the acoustic behavior of a speaker array that produces beamforming. The selection of the finite elementmethod is made with the purpose of taking into account the considerations of the wave ph...

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Autores:
Otalvaro Barco, Santiago
Fernández Parra, Daniel José
Tipo de recurso:
Fecha de publicación:
2020
Institución:
Universidad de San Buenaventura
Repositorio:
Repositorio USB
Idioma:
spa
OAI Identifier:
oai:bibliotecadigital.usb.edu.co:10819/7930
Acceso en línea:
http://hdl.handle.net/10819/7930
Palabra clave:
Elementos finitos
Monopolos
Pistones
Finite elements
Monopoles
Pistons
444061
Rights
License
Atribución-NoComercial-SinDerivadas 2.5 Colombia
Description
Summary:This work implements the FEM finite element method for the generation of simulations that allows the studyof the acoustic behavior of a speaker array that produces beamforming. The selection of the finite elementmethod is made with the purpose of taking into account the considerations of the wave phenomena in the designof the acoustic box. This process starts from a simulation in MATLAB software where free field conditionsare established with analytical elementary solutions based on monopoles and pistons. The input parameters,such as the volumetric flow(Qs)in a monopole and the normal velocity(Vn) in a piston, are obtained fromthe simulations with Matlab and entered into the simulation software with FEM to corroborate that thebehavior of both simulations obtained similarities in the results. The implementation of FEM is accomplishedby means of the election of suitable parameters, according to the discretization of the domain, to obtain acorrect estimation of the phenomenon under study. The amplitude values of the sources for beamforminggeneration are proposed when solving the inverse method. This generates amplitudes from control variablesthat determine the propagation in a given area. The method is evaluated by means of acoustic simulationsoftware with FEM. The results indicate that the finite element method is a technique that is used to efficientlyevaluate the design of an array of speakers that generate beamforming. Wave phenomena such as box diffractioncan be contemplated in what shows a complex algorithm for electroacoustic design, however, the solution isefficient when the computational load of the simulations does not exceed the calculation capacity.