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Clustering by optimal subsets to describe environment interdependencies

: Glänzel, Janine; Unger, Roman; Ihlenfeldt, Steffen

TU Dresden, Institut für Maschinenelemente und Maschinenkonstruktion:
Conference on Thermal Issues in Machine Tools 2018. Proceedings : 21.-23. März 2018, Dresden
Zwickau: Verlag Wissenschaftliche Scripten, 2018
ISBN: 978-3-95735-085-5
Conference on Thermal Issues in Machine Tools <2018, Dresden>
Conference Paper
Fraunhofer IWU ()
optimal subset problem; radial basis functions; FEM; CFD

The paper copes with the problem of finding an optimal subset of interpolation points out of a given large set of computed values, arising from a finite element simulation. This simulation computes environment data, which are on their part input data for finite element simulations of machine tools. For machine tool manufacturers it is still a seriously problem that the machine works imprecisely and produces scrap if environmental values like temperature changes. The change of the environment boundary conditions contribute to the phenomenon through sunlight or cold draught owing to open doors of the machine hall or factory. Resulting thermo-elastic effects on the tool center point are one of the major reasons for positioning errors in machine tools. A genetic search algorithm for clustering relevant heat transfer coefficient values over the geometric surface through computational fluid dynamics (CFD) simulations will be described. These values are the input data for a developed thermo-elastic correction algorithm.