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Proceedings of CAD'17, 2017, 104-109
Morphing Boxes for the Integration of Shape Optimization in the Product Design Process

Alexander Brune, Thiago Weber Martins, Reiner Anderl, Technische Universität Darmstadt
Peter Clausen, Dassault Systèmes Simulia

Abstract. Shape optimization software provides valuable input during the design of mechanical product parts. Employing mathematical algorithms, it methodically and efficiently improves an existing product’s design geometry with respect to user-defined criteria. Typical examples include weight minimization or the maximization of a stiffness measure under weight restrictions. The main obstacle in utilizing shape optimization results often lies in the fact that these are mesh-based, as the algorithms commonly manipulate a given Finite Element (FE) model. Ultimately, they should be applied to a Computer-Aided Design (CAD) model. One basic strategy to achieve this, which is employed in the industry, is a conversion of the optimized FE mesh surface to a new CAD model, for example, by approximating the former by an IGES wire grid model or an STL model. By replacing the original CAD model, however, the underlying construction logic is lost, impeding further design modeling following the optimization. A more promising approach is to bridge the gap between FE mesh-based optimization and CAD by applying the same method for parameterizing shape changes to both. Various methods of geometry parameterization for shape optimization have been proposed, some even mentioning possible applicability to CAD modeling. The most notable is the use of Isogeometric Analysis (IGA).

Keywords. Shape Optimization, Parametrization, Computer-aided Design

DOI: 10.14733/cadconfP.2017.104-109