Options
Toward transient finite element simulation of thermal deformation of machine tools in real-time
Publikationstyp
Journal Article
Date Issued
2018-01-10
Sprache
English
Author(s)
Journal
Volume
62
Issue
5
Start Page
929
End Page
942
Citation
Computational Mechanics 62 (5): 929-942 (2018)
Publisher DOI
Scopus ID
Publisher
Springer
Peer Reviewed
true
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.
Subjects
Machine tool
Numerical time-stepping
Real-time simulation
Spectral deferred corrections
Thermal error
DDC Class
004: Informatik
530: Physik
Funding Organisations
More Funding Information
This work was funded by the German Research Foundation as part of the CRC/TR 96.