NURBS-based and Parametric-based Shape Optimisation with differentiated CAD Kernel
Computer-Aided Design and Applications
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Numerical optimisation is becoming an essential industrial method in engineering design for shapes immersed in uids. High- delity optimisation requires ne design spaces with many design variables, which can only be tackled with gradient-based optimisation methods. CAD packages that are open-source or commercially available do not provide shape derivatives, but impose to compute them with expensive, inaccurate and nonrobust nite-di erences. The present work is the rst demonstration of obtaining exact shape derivatives with respect to CAD design parametrisation by applying algorithmic di erentiation to a complete CAD system, in this case the Open Cascade Technology (OCCT) CAD-kernel. The extension of OCCT to perform shape optimisation is shown by using parametric models based on explicit parametrisations of the CAD model and on implicit parametrisations based on the BRep (NURBS). In addition, we demonstrate the imposition of geometric constraints for both approaches, a salient part of industrial design, and an intuitive method of storing them in standard CAD format. The proposed method is applied to redesign TU Berlin Stator Testcase.
AuthorsMUELLER, J; mykhaskiv, O; Banovic, M; Auriemma, S; Mohanamuraly, P; Walther, A; Legrand, H
- College Publications