Título: | TOPOLOGY OPTIMIZATION OF 2D STRUCTURES | ||||||||||||
Autor: |
TATIANA GOSSO LAGUN |
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Colaborador(es): |
LUIZ ELOY VAZ - Orientador JUN SERGIO ONO FONSECA - Coorientador |
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Catalogação: | 21/JAN/2002 | Língua(s): | PORTUGUESE - BRAZIL |
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Tipo: | TEXT | Subtipo: | THESIS | ||||||||||
Notas: |
[pt] Todos os dados constantes dos documentos são de inteira responsabilidade de seus autores. Os dados utilizados nas descrições dos documentos estão em conformidade com os sistemas da administração da PUC-Rio. [en] All data contained in the documents are the sole responsibility of the authors. The data used in the descriptions of the documents are in conformity with the systems of the administration of PUC-Rio. |
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Referência(s): |
[pt] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=2218&idi=1 [en] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=2218&idi=2 |
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DOI: | https://doi.org/10.17771/PUCRio.acad.2218 | ||||||||||||
Resumo: | |||||||||||||
Automatic and optimal determination of a topology is a
crucial step in the process of structural optimization.
Usually, the search for an optimal topology is the first
step for the definition of the structure layout, found as
an optimal distribution of material inside of a pre-
established domain. This dissertation has as an objective
to present a simple methodology for topology optimization,
given a structural system, defined by support conditions,
load and a design domain.Typically, a problem of topology
optimization tries to obtain an optimum connectivity of the
structure in a design domain, seeking to minimize the
compliance (or maximize the stiffness) with constraints
over the total volume of the structure. Since the
introduction of homogenization methods,the research field
in the area of topology optimization increased and new
criteria are being developed.In this dissertation a
methodology is presented for the solution of problems of
topology optimization of structures in a continuum medium.
The parametrization of the constitutive tensor is made
through materials of the type SIMP (Solid Isotropic
Microstruture with Penalty). The proposed mathematical
problem is of minimization of the total volume of the
structure with constraint to the external work while
obeying implicitly the equilibrium constraints and
connectivity of the structure. The static analysis of the
structure is accomplished by the Finite Elements Method
using the program FEMOOP (Finite Element Method - Object
Oriented Program) developed by the research group in
computer graphics of DEC/PUC-Rio.Several methods are
suggested for the resolution of the mathematical problem of
topology optimization. Among them there are some purely
heuristic and others aided by a solid mathematical
base. In this dissertation, the problem of topology
optimization is solved through techniques of mathematical
programming, applying the technique of convex sequential
programming, using the algorithm of the Method of Moving
Asymptots (MMA).The development of a computer program in
topology optimization allowed us to determine
automatically an optimal topology, and the study of
solution algorithms and criteria of topology optimization
were of great importance to a larger understanding of
structural models.
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