On a thermomechanical milling model

Krzysztof Chełmiński , Dietmar Hömberg , Oliver Rott

Abstract

This paper deals with a new mathematical model to characterize the interaction between machine and workpiece in a milling process. The model consists of a harmonic oscillator equation for the dynamics of the cutter and a linear thermoelastic workpiece model. The coupling through the cutting force adds delay terms and further nonlinear effects. After a short derivation of the governing equations it is shown that the complete system admits a unique weak solution. A numerical solution strategy is outlined and complemented by numerical simulations of stable and unstable cutting conditions.
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 seriesNonlinear Analysis-Real World Applications, ISSN 1468-1218, (A 40 pkt)
Issue year2011
Vol12
No1
Pages615-632
Keywords in EnglishDelay differential equations, Process-structure interaction, stability, Thermo-elasticity, Workpiece effects
ASJC Classification2604 Applied Mathematics; 2605 Computational Mathematics; 2000 General Economics, Econometrics and Finance; 2200 General Engineering; 2700 General Medicine; 2603 Analysis
DOIDOI:10.1016/j.nonrwa.2010.07.005
URL http://www.sciencedirect.com/science/article/pii/S1468121810001665
Score (nominal)40
Publication indicators Scopus Citations = 3; WoS Citations = 2; Scopus SNIP (Source Normalised Impact per Paper): 2014 = 1.936; WoS Impact Factor: 2011 = 2.043 (2) - 2011=1.971 (5)
Citation count*4 (2015-02-15)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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