Análisis de resonadores de Helmholtz a partir de la implementación del método de elementos finitos

The project consists of studying the acoustic and physical behavior of the Helmholtz resonators, which according to their dimensions can have different resonance frequencies. The analysis will be done by means of the finite element method (FEM), whose mathematical calculation model provides greater...

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Autor Principal: Duque Salcedo, Andrés Felipe
Formato: info:eu-repo/semantics/bachelorThesis
Idioma: spa
Publicado: Ingenierias 2019
Materias:
FEM
Acceso en línea: A. F. Duque Salcedo, “Análisis de resonadores de Helmholtz a partir de la implementación del método de elementos finitos”, Trabajo de grado Ingeniería de Sonido, Universidad de San Buenaventura Medellín, Facultad de Ingenierías, 2019
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Sumario: The project consists of studying the acoustic and physical behavior of the Helmholtz resonators, which according to their dimensions can have different resonance frequencies. The analysis will be done by means of the finite element method (FEM), whose mathematical calculation model provides greater proximity to a real system; This is achieved through matrix arrays. The studies carried out to date on the finite element method focused on acoustics have been carried out for the modal analysis of enclosures, analysis of acoustic silencers for industrial machinery and is often used in the creation of electroacoustic prototypes, such as loudspeakers and microphones. In addition, this method has the advantage of coupling several physical phenomena, for example obtaining data about the temperature and at the same time the acoustics of some model, that is why this method is implemented for the characterization of acoustic materials such as the Helmholtz resonators. Initially, the equation of an acoustic wave is described, which makes it easier to show what is the behavior of the sound in a general way to later center said equation in a particular case, the Helmholtz resonators, which are described from the Helmholtz equation. After having raised the mathematical and physical problem, we proceed to solve it by the aforementioned method. The main advantages of using FEM to analyze materials such as Helmholtz resonators are in the optimization of this process in terms of time and money. In addition, it is vital to know that this method is recurrent as long as you have a processing capacity in the machines too high. The evaluation of the finite element method is performed in the simulation software comsol multiphysics using two different 3D models of Helmholtz resonators, each with different physical characteristics, the simple cavity resonator and the cavity resonator. simple based on slats. Each of the models will have four designs, two for low frequency and two for low medium frequency, having a total of eight simulations