Print Email Facebook Twitter Model Order Reduction Methods for Topology Optimization Title Model Order Reduction Methods for Topology Optimization Author ten Hagen, Erik (TU Delft Electrical Engineering, Mathematics and Computer Science) Contributor van Gijzen, M.B. (mentor) Heemink, A.W. (graduation committee) Langelaar, M. (graduation committee) Degree granting institution Delft University of Technology Programme Applied Mathematics Date 2022-08-30 Abstract Topology optimization is a branch of mechanical engineering in which the topology of a structure is created and optimized to certain conditions and restrictions. In the last few decades, the demand for highly accurate and complex models of these structures has increased and it has a big effect on the computational power needed. To ease the computational load for the dynamical systems one can use model order reduction methods to reduce the size of the models.Classic Arnoldi is a widely used method for model order reduction (MOR) with topology optimization. In this thesis, we discuss two-sided Arnoldi and IRKA to help find a suitable moment-matching MOR method for topology optimization. These two reduction methods are implemented and improved to create a high fidelity reduced model. For improvements in the accuracy, the use of orthogonalization methods is analysed and discussed as well as including rigid body modes for IRKA and a preconditioner for two-sided Arnoldi. Lastly, a participation factor is discussed and improved to help reduce the model created with two-sided Arnoldi.In the end, we find that two-sided Arnoldi in combination with the participation factor performs better than IRKA by creating a smaller and more accurate reduced model. Subject Topology OptimizationModel Order ReductionArnoldiIRKAParticipation Factor To reference this document use: http://resolver.tudelft.nl/uuid:5c9b86fd-01bd-4768-8e12-0fdf77dc9973 Part of collection Student theses Document type master thesis Rights © 2022 Erik ten Hagen Files PDF Thesis_EtH.pdf 3.89 MB Close viewer /islandora/object/uuid:5c9b86fd-01bd-4768-8e12-0fdf77dc9973/datastream/OBJ/view