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COB441 FORMULAÇÃO H-HIERÁRQUICA ADAPTATIVA PARA O MÉTODO DOS ELEMENTOS DE CONTORNO EM ELASTICIDADE / ADAPTIVE H-HIERARCHICAL BOUNDARY FORMULATION FOR THE BOUNDARY ELEMENT METHOD APPLIED TO ELASTICITY PROBLEMS
Raul Bernardo Vidal PessoLani
Pesquisador da FAPERJ - Fundação de Amparo à Pesquisa do Estado do Rio de Janeiro
Departamento de Engenharia Mecânica, Faculdade de Engenharia - UFF - Niteroi, RJ.
Rua Passos da Pátria, 156 - São Domingos, CEP 24210-240 - Niterói, R J, Brasil
The present paper is concerned with the development of the H-Adaptive Hierarchical formulation applied to the Boundary Element Method. An analysis of the refinement is made, comparing two error’s estimators. The convergence tax is also tested and commented. Finally, suggestions are made for an implementation of an optimal adaptive strategy.
Keywords: Numerical Methods, Boundary Elements Method, Adaptive Procedures.
COB442 Semi-ANALYTICAL singular integration for the boundary element method In Elasticity
Raul Bernardo Vidal Pessolani
Pesquisador da FAPERJ - Fundação de Amparo à Pesquisa do Estado do Rio de Janeiro - Departamento de Engenharia Mecânica, Faculdade de Engenharia - UFF - Niteroi, RJ. Rua Passos da Pátria, 156 - São Domingos, CEP 24210-240 - Niterói, R J, Brasil
This paper shows an alternative formulation to compute the value of the singular integral elements in the Boundary Element Method for Elasticity Problems, employing a process called semi-analytical. The expressions to be implemented are discussed and the precision obtained is illustrated with a numerical example.
Keywords: Numerical Methods, Boundary Element Method, Adaptive Procedures
COB1222 - ALGORÍTMO PARA INTEGRAÇÃO FRACA PRESENTE NO MEC APLICADO A PROPAGAÇÃO DE ONDAS / NEARLY SINGULAR INTEGRAL ALGORITHM IN BEM APPLIED TO WAVE PROPAGATION
Mauro G. J. Veloso 1 & Webe J. Mansur 2
1 Departamento de Engenharia Mecânica, Centro Tecnológico - UFPA - Belém (Pa) CEP 66.000-000, e-mail: lme@amazon.com.br
2 Programa de Engenharia Civil, COPPE, UFRJ, Rio de Janeriro, Cx. Postal : 68506 CEP 21945-970 e-mail: webe@coc.ufrj.br
Abstract
Nearly singular integrals arise in boundary element formulation applied to elastodynamics problems. In this paper is proposed an algorithm to integrate this nearly singular integrals. The method is formulated on subtract the nearly singular parcel from the nearly integration expression, and integrate this expression by numerical approach them the nearly singular parcel is algebraically integrated.
Keywords
Método dos elementos de contorno aplicado a elastodinâmica, Integral fracamente singular, Métodos de integração numérica, Propagação de ondas no contínuo, BEM Applied to Elastodynamics, Nearly Singular Integral, Numerical Integration, Wave Propagation.
COB1224 - UM ALGORÍTMO PARA INTEGRAÇÃO DA SINGULARIDADE NO MEC APLICADO A PROPAGAÇÃO DE ONDAS / AN ALGORITHM FOR SINGULAR INTEGRATION IN BEM APLLIED TO WAVE PROPAGATION
Mauro G. J. Veloso 1 & Webe J. Mansur 2
1 Departamento de Engenharia Mecânica, Centro Tecnológico - UFPA - Belém (Pa) CEP 66.000-000, e-mail: lme@amazon.com.br
2 Programa de Engenharia Civil, COPPE, UFRJ, Rio de Janeriro, Cx. Postal : 68506 CEP 21945-970 e-mail: webe@coc.ufrj.br
Abstract
This work concern on the development of a scheme to integrate the singular expression, present at the boundary element method, applied to elastodynamics problems in frequency domain. The mathematical formulation of the problem is discussed as well as some examples are presented and compared with the other methods implemented to show the method accuracy.
Keywords
Método dos elementos de contorno aplicado a elastodinâmica, Integração singular, Métodos de integração numérica, Propagação de ondas no contínuo, Boundary Elements in Elastodynamics, Singular Integration, Wave Propagation in continuum.