Mathematical analysis of a thermomechanical milling process

Krzysztof Chełmiński , Dietmar Hömberg , Oliver Rott

Abstract

This article deals with a mathematical model describing the interaction between a cutting machine and workpiece in a milling process. The model consists of a system of ordinary differential equations with delay for the dynamics of the cutter and a linear thermoelastic system for the workpiece. Using Galerkin approximation method it is proved that the presented model admits a unique weak solution (© 2011 WILEY-VCH Verlag GmbH \& Co. KGaA, Weinheim)
Author Krzysztof Chełmiński (FMIS / DPDE)
Krzysztof Chełmiński,,
- Department of Partial Differential Equations
, Dietmar Hömberg - [Weierstrass Institute for Applied Analysis and Stochastics]
Dietmar Hömberg,,
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, Oliver Rott - [Weierstrass Institute for Applied Analysis and Stochastics]
Oliver Rott,,
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Journal seriesGAMM-Mitteilungen, ISSN 1522-2608, (0 pkt)
Issue year2011
Vol34
No1
Pages59–63
Keywords in Englishdelay-differential equations, milling, thermoelasticity
DOIDOI:10.1002/gamm.201110009
URL http://onlinelibrary.wiley.com/doi/10.1002/gamm.201110009/abstract
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