Some Improvements In Minimum Weight
Topology Optimization With Stress Constraints
Author(s)
J. Par´ıs, F. Navarrina, I. Colominas & M. Casteleiro
Abstract
Topology optimization of continuum structures is a recent field in structural optimization.
However, an increasing research activity in this area has been developed
since the statement of the very first formulations. These formulations try to obtain
the most adequate material distribution that satisfies the imposed structural limitations.
The existence or absence of material in each part of the domain is usually
defined by using a continuum variable (the relative density) in order to avoid dealing
with a discrete optimization problem. This continuum approach of the material
properties present important advantages since conventional optimization algorithms
can be used. However, numerical models must be considered in order to
develop the structural analysis for intermediate values of the relative densities.
In this paper, we present some improvements in a minimum weight approach
of the structural topology optimization problem. The main goal of this paper is
to present an improved formulation that tries to reach binary 0-1 material distributions
by using a continuum approach of the design variables. Furthermore, a
perimeter penalization is included in the objective function to simplify the solutions
obtained. In addition, some computational aspects are considered in order to
reduce the computational effort.
Finally, we compare the solutions obtained by using these formulations in two
application examples.
Keywords
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