Uma aplicação do Método dos Elementos de Contorno a problemas da elastodinâmica no domínio da frequência

The Direct Boundary Element Method is applied to solve general elastodynamic problems for homogeneous, isotropic and linearly elastic bodies. The Fourier Integral Transform technique is used to transform an elliptic partial differential equation with respect to time in an equation solvable in the frequency domain. This equation can be recast, through the weighted residual method, into an integral equation which, via a limiting process, yields the boundary integral equation. The numerical formulation for the steady-state case is presented. The numerical integration (Gaussian Quadrature) is employed to evaluate all integrals except those in the Cauchy principal value sense which are performed analytically. The third order tensors needed for the evaluation of internal stresses are also derived. Finally, three examples are presented. The results are in excellent agreement with numerical, theoretical and other authors’ results. The Boundary Element Method is shown to be an economical method for a wide range of practical problems.

Grantor dc:publisher

Universidade Federal do Rio de Janeiro

Year dc:date.issued

1985

Author dc:creator

• Dumans, Marise Castro Rebelo Fontenelle

Advisor dc:contributor.advisor

• Telles, José Cláudio de Faria

• Engenharia Civil

Statement dc:rights

• Acesso Aberto

Language dc:language

por

Handle dc:identifier.uri

http://hdl.handle.net/11422/3634

OAI identifier oai:identifier

oai:pantheon.ufrj.br:11422/3634