Uncertainty based topology optimization using the topological derivative concept

Renatha Batista dos Santos¹; Antonio André Novotny¹; André Jacomel Torii²

¹ LNCC - Laboratório Nacional de Computação Científica; ² UFPB - Universidade Federal da Paraíba

doi:10.20906/CPS/CILAMCE2015-0161

Resumo

Optimization of structural topology has been subject of intense research for many decades. In most cases, the parameters of the problem are taken as deterministic values. However, some parameters, such as loads and material properties, are frequently uncertain in practice. For this reason, several authors proposed approaches to address optimization problems subject to uncertainties, establishing the field of uncertainty based optimization. In this paper we present an approach for uncertainty based topology optimization. The topology optimization is made using an efficient algorithm based on topological derivatives and uncertainties on load magnitudes are considered.

Palavras-chave: Robust Design Optimization; Topological Derivative; Uncertanties