Topology and Geometry Optimization of Branched Sheet Metal Products

Abstract

In order to optimize branched sheet metal profiles consisting of several chambers, decisions concerning topology and geometry have to be made. This leads to a problem entailing discrete and nonlinear features. We describe an integrated approach combining both aspects. The underlying idea is to use a branch‐and‐bound algorithm. In each node of the branch‐and‐bound tree, a nonlinear optimization problem has to be solved. We describe how the branch‐and‐bound tree is constructed, i.e., how the topology decision can be classified in a meaningful way. Moreover, we explain how to approach the nonlinear optimization problem arising in the nodes of the tree. We conclude by presenting a numerical example. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)