Análise dinâmica de problemas escalares não-homogêneos através do método dos elementos de contorno
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Data
2006-03-30
Autores
Santolin, Wagner Dalvi
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Universidade Federal do Espírito Santo
Resumo
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.
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SANTOLIN, Wagner Dalvi. Análise dinâmica de problemas escalares não-homogêneos através do método dos elementos de contorno. 2006. Dissertação (Mestrado em Engenharia mecânica) - Universidade Federal do Espírito Santo, Centro Tecnológico, Vitória, 2006.