Title
Toward transient finite element simulation of thermal deformation of machine tools in real-time.
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.
Year
DOI
Venue
2017
10.1007/s00466-018-1540-6
Computational Mechanics
Keywords
Field
DocType
Machine tool, Thermal error, Real-time simulation, Numerical time-stepping, Spectral deferred corrections
Engineering drawing,Mathematical analysis,Finite element simulation,Mechanical engineering,Finite element method,Heat equation,Thermal deformation,Deformation (mechanics),Real-time simulation,Mathematics,Machine tool
Journal
Volume
Issue
ISSN
abs/1707.03581
5
Computational Mechanics 62(5), pp. 929 - 942, 2018
Citations 
PageRank 
References 
0
0.34
4
Authors
3
Name
Order
Citations
PageRank
Andreas Naumann110.75
Daniel Ruprecht27110.02
Jörg Wensch383.65