Naumann, A, Ruprecht, D orcid.org/0000-0003-1904-2473 and Wensch, J (2018) Toward transient finite element simulation of thermal deformation of machine tools in real-time. Computational Mechanics, 62 (5). pp. 929-942. ISSN 0178-7675
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | (c) Springer-Verlag GmbH Germany, part of Springer Nature 2018. This is a post-peer-review, pre-copyedit version of an article published in Computational Mechanics. The final authenticated version is available online at: https://doi.org/10.1007/s00466-018-1540-6 |
Keywords: | Machine tool; Thermal error; Real-time simulation; Numerical time-stepping; Spectral deferred corrections |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mechanical Engineering (Leeds) > Institute of Engineering Thermofluids, Surfaces & Interfaces (iETSI) (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 02 Jan 2018 13:02 |
Last Modified: | 10 Jan 2019 01:38 |
Status: | Published |
Publisher: | Springer Nature |
Identification Number: | 10.1007/s00466-018-1540-6 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:125537 |