Topology optimization of structures: a minimum weight approach with stress constraints
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Topology optimization of structures: a minimum weight approach with stress constraintsData
2004Resumo
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 usually 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
Structural optimization
Structural optimization
Optimum design
Structural optimization
Optimum design
Descrición
Enviado a "Advances in engineering software" el 26/10/2004