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Computational Mechanics
Published in: Computational Mechanics 5/2018

10-01-2018 | Original Paper

Toward transient finite element simulation of thermal deformation of machine tools in real-time

Authors: Andreas Naumann, Daniel Ruprecht, Joerg Wensch

Published in: Computational Mechanics | Issue 5/2018

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Abstract

Finite element models without simplifying assumptions can accurately describe the spatial and temporal distribution of heat in machine tools as well as the resulting deformation. In principle, this allows to correct for displacements of the Tool Centre Point and enables high precision manufacturing. However, the computational cost of FE models and restriction to generic algorithms in commercial tools like ANSYS prevents their operational use since simulations have to run faster than real-time. For the case where heat diffusion is slow compared to machine movement, we introduce a tailored implicit–explicit multi-rate time stepping method of higher order based on spectral deferred corrections. Using the open-source FEM library DUNE, we show that fully coupled simulations of the temperature field are possible in real-time for a machine consisting of a stock sliding up and down on rails attached to a stand.
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Metadata
Title
Toward transient finite element simulation of thermal deformation of machine tools in real-time
Authors
Andreas Naumann
Daniel Ruprecht
Joerg Wensch
Publication date
10-01-2018
Publisher
Springer Berlin Heidelberg
Published in
Computational Mechanics / Issue 5/2018
Print ISSN: 0178-7675
Electronic ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-018-1540-6

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