Otimização topológica estrutural baseada em confiabilidade com restrição em tensão e projeto de estruturas sujeitas a condição de contato unilateral

• Autor(a) principal: Santos, Renatha Batista dos
• Data de Publicação: 2017
• Tipo de documento: Tese
• Idioma: por
• Título da fonte: Biblioteca Digital de Teses e Dissertações do LNCC
• Texto Completo: https://tede.lncc.br/handle/tede/253
• topic: Derivada topológica; Otimização topológica; Topological derivative; Topological optimization; CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA::ANALISE::EQUACOES DIFERENCIAIS PARCIAIS

In structural optimization, the obtained results must be robust in relation to uncertainties, whether they arise from the probabilistic nature of the variables or those inherent to the resistance of the materials, for example. Traditionally, uncertainties in structural design were taken into account by using safety factors. Nevertheless, it is well known that the safety factor approach can be limited in a wide variety of cases or yields to conservative designs. For this reason, several authors proposed different approaches to address optimization problems subject to uncertainties, such as robust topology optimization and reliability-based topology optimization. In this work, we present an alternative approach for robust topology optimization considering a point-wise worst case scenario. We also study reliability-based structural topology optimization problem under stress constraints. In addition, in order to apply an approach for uncertainty based optimization into a non-linear problem, we investigate the deterministic structural topology optimization problem subject to unilateral contact condition.