A minimum weight with stress constraints FEM approach for topology structural optimization problems
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A minimum weight with stress constraints FEM approach for topology structural optimization problemsData
2002Resumo
[Abstract] Sizing and shape structural optimization problems are normally stated in terms of a minimum weight
approach with constraints that limit the maximum allowable stresses and displacements.
However, topology structural optimization problems have been traditionally stated in terms of a maximum
stiffness (minimum compliance) approach. In this kind of formulations, the aim is to distribute a
given amount of material in a certain domain, so that the stiffness of the resulting structure is maximized
(the compliance, or energy of deformation, is minimized) for a given load case. Thus, the material mass
is restricted to a predefined percentage of the maximum possible mass, while no stress or displacement
constraints are taken into account.
In this paper we analyze and compare both approaches, and we present a FEM minimum weight with
stress constraints (MWSC) formulation for topology structural optimization problems. This approach
does not require any stabilization technique to produce acceptable optimized results, while no truss-like
final solutions are necessarily obtained. Several 2D examples are presented. The optimized solutions
seem to be correct from the engineering point of view, and their appearence could be considered closer
to the engineering intuition than the traditional truss-like results obtained by means of the widespread
maximum stiffness (minimum compliance) approaches.
Palabras chave
Topology optimization
Design optimization
Optimum design
Structural optimum design
Structural optimization
Design optimization
Optimum design
Structural optimum design
Structural optimization
Descrición
WCCM V, Fifth World Congress on
Computational Mechanics, July 7–12, 2002, Vienna, Austria