Sequential integer
programming methods for stress constrained topology
optimization
Krister Svanberg and Mats Werme
Optimization and Systems Theory, Royal Institute of
Technology (KTH), Stockholm, Sweden
ABSTRACT:
This paper deals with topology optimization of load carrying
structures defined on a discretized design domain where binary design
variables are used to indicate material or void in the various finite
elements. The main contribution is the development of two iterative
methods which are guaranteed to find a local optimum with respect to a
1-neighbourhood. Each new iteration point is obtained as the optimal
solution to an integer linear programming problem which is an
approximation of the original problem at the previous iteration point.
The proposed methods are quite general and can be applied to a variety
of topology optimization problems defined by 0-1 design variables.
Most of the presented numerical examples are devoted to problems
involving stresses which can be handled in a natural way since the
design variables are kept binary in the subproblems.