Análise dinâmica de problemas escalares não-homogêneos através do método dos elementos de contorno

One of the biggest limitations of the Boundary Element Method (BEM) consists in modeling non-homogeneous problems. To minimize the onerous task to make models using the subregions technique, the Quasi-Dual Reciprocity formulation was adapted to simulate these cases. Such formulation is able to deal...

Descripción completa

Detalles Bibliográficos
Autor: Santolin, Wagner Dalvi
Tipo de recurso: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2006
País:Brasil
Institución:Universidade Federal do Espírito Santo (UFES)
Repositorio:Repositório Institucional da Universidade Federal do Espírito Santo (riUfes)
Idioma:portugués
OAI Identifier:oai:repositorio.ufes.br:10/4186
Acceso en línea:http://repositorio.ufes.br/handle/10/4186
Access Level:acceso abierto
Palabra clave:Análise numérica
Dinâmica dos corpos rígidos
Métodos de elementos de contorno
Programação (Computadores)
Engenharia Mecânica
621
Descripción
Sumario:One of the biggest limitations of the Boundary Element Method (BEM) consists in modeling non-homogeneous problems. To minimize the onerous task to make models using the subregions technique, the Quasi-Dual Reciprocity formulation was adapted to simulate these cases. Such formulation is able to deal with heterogeneities by a special way ceding to lead the integral formulation of the mathematical model and its consequent discretization exclusively in terms of boundary values, without necessity of sub-regions. One of the most promising applications of the non-homogeneous models in the present time is the seismic analysis for prospection of oil. In these cases if it also makes necessary to represent the wave propagation phenomena, cases these, very cumbersome and complex. It is very common the numerical simulation of dynamic problems implies in badly accuracy to represent high vibration modes. This fact can distort the numerical reply sufficiently and the use of an incremental time step scheme with fictitious damping is usually requested, to avoid the tax of waste of the numerical response. Thus, this work has the objective to analyze the performance of the formularization cited in non-homogeneous problems, in which admits dynamic processes. While the Quasi-Dual formulation is used to model the material properties, the traditional Dual Reciprocity technique also is here employed, with the purpose of modeling the dynamic action.