Janine Glänzel, Roman Unger: Clustering by optimal subsets to describe environment interdependencies

Author(s):

Janine Glänzel
Roman Unger

Title:

Janine Glänzel, Roman Unger: Clustering by optimal subsets to describe environment interdependencies

Electronic source:

application/pdf

Preprint series:

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 03, 2017

Mathematics Subject Classification:

    90C27 [Combinatorial optimization]
    97N50 [Interpolation and approximation]

Abstract:

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 products wastrel if environment 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.

Keywords:

Optimal subset problem, Radial Basis Functions, FEM, CFD

Language:

English

Publication time:

8/2017