Topology optimization based on the first optimization steps strain energy analysis.

The paper presents the algorithm for obtaining “the near optimal” topology very fast, based on the first optimization steps strain energy analysis. The objective function is the compliance of the structure. It is equal to the strain energy and it is minimized under the body mass constraints. Because the material density is proportional to the strain energy accumulated in discrete material point, the identification of more and less effort domains especially for the first optimization steps let analyse the structure from the topology point of view. This identification is the base of relative faster finding out material domains and void domains within the design domain which leads to the topology, which is very similar to the optimal topology even from the strain energy level point of view. (© 2009 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)