### Optimization and Systems Theory Seminar

Friday, February 21, 2003, 11.00-12.00, Room 3721, Lindstedtsv. 25

**Mathias Stolpe**

Division of Optimization and Systems Theory

Department of Mathematics

KTH

E-mail: stolpe@math.kth.se

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Topology optimization of truss structures

This talk gives an overview of the results presented in the first four
papers included in my thesis. To begin with, an introduction to topology
optimization is given. Thereafter, we present different equivalent ways of
representing the nonconvex problem of minimizing the weight of a truss
structure subject to stress constraints. For example, it is shown that if
the structure is subjected to only one external load the
problem can equivalently be cast as a linear program and thus
efficiently be solved to global optimality.
Finally, a convergent continuous branch-and-cut method for global
optimization of minimum weight problems with stress and displacement
constraints is presented. The valid inequalities (cuts) which strengthen the
problem formulation are generated by solving well-defined convex
optimization problems, which are obtained when the displacement and stress
constraints are relaxed. Computational results on a large set of problems
taken from the literature are presented. Most of these problems are
solved with a proof of global optimality for the first time.

Calendar of seminars

*Last update: February 13, 2003 by
Anders Forsgren,
anders.forsgren@math.kth.se.
*