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Master's Dissertation
DOI
10.11606/D.18.2000.tde-26092001-114251
Document
Author
Full name
Marcelo Greco
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2000
Supervisor
Committee
Venturini, Wilson Sergio (President)
Laier, Jose Elias
Mesquita Neto, Euclides
Title in Portuguese
Análise do problema harmônico de radiação e difusão acústica, usando o método dos elementos de contorno.
Keywords in Portuguese
acoplamento
acústica
fluido-estrutura
método dos elementos de contorno
Abstract in Portuguese
Neste trabalho, estudam-se problemas bidimensionais de propagação de ondas acústicas e elásticas, no domínio da freqüência, formulados através do Método dos Elementos de Contorno. A formulação é baseada nas representações integrais das equações diferenciais que governam os fenômenos de propagação de ondas acústicas num meio fluido e de ondas elásticas numa estrutura elástica. Analisa-se também a interação entre o fluido e a estrutura com o uso de sistemas de equações acoplados. As soluções fundamentais utilizadas são expressões exatas e não há necessidade de subdivisão dos domínios em células de integração. São aplicadas técnicas de integração alternativas na escolha das equações algébricas no domínio do fluido, visando a melhora das respostas globais do conjunto. Apresentam-se ainda exemplos numéricos, com o objetivo de possibilitar a modelagem numérica de problemas de acoplamento fluido-estrutura e de radiação e difusão acústica.
Title in English
Harmonic analysis of the acoustic radiation and scattering problems, using boundary element methods.
Keywords in English
acoustics
boundary element methods
coupling
fluid-structure
Abstract in English
In this work, acoustic and elastic wave propagation problems in 2D, in frequency domain, are studied and formulated with the Boundary Element Methods. The formulation is based on the integral representations derived from the differential equations that govern the phenomena of acoustic wave propagation in a fluid medium and elastic wave propagation inside an elastic domain. The fluid-structure interaction is also formulated by coupling appropriately the corresponding systems of equations. The fundamental solutions adopted in this work are conveniently chosen to avoid the mass integral terms in the elastic wave integral representation and the equivalent terms in the acoustic integral equation. Thus, the algebraic representations of both problems are written only in terms of boundary values. Subdivisions of the domain to perform integrals over cells are not required. In an attempt to improve the global answers of the fluid problem, several integration techniques have been experimented to build alternative algebraic matrix equations. Numerical examples are presented in order to shown the accuracy of the studied acoustic radiation and scattering problems and also to verify the proposed fluid-structure coupling.
 
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Publishing Date
2001-10-09
 
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