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Analytical prediction of chatter stability for variable pitch and variable helix milling tools

Sims, N.D., Mann, B. and Huyanan, S. (2008) Analytical prediction of chatter stability for variable pitch and variable helix milling tools. Journal of Sound and Vibration, 317 (3-5). pp. 664-686. ISSN 0022-460X


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Regenerative chatter is a self-excited vibration that can occur during milling and other machining processes. It leads to a poor surface finish, premature tool wear, and potential damage to the machine or tool. Variable pitch and variable helix milling tools have been previously proposed to avoid the onset of regenerative chatter. Although variable pitch tools have been considered in some detail in previous research, this has generally focussed on behaviour at high radial immersions. In contrast there has been very little work focussed on predicting the stability of variable helix tools. In the present study, three solution processes are proposed for predicting the stability of variable pitch or helix milling tools. The first is a semi-discretisation formulation that performs spatial and temporal discretisation of the tool. Unlike previously published methods this can predict the stability of variable pitch or variable helix tools, at low or high radial immersions. The second is a time-averaged semi-discretisation formulation that assumes time-averaged cutting force coefficients. Unlike previous work, this can predict stability of variable helix tools at high radial immersion. The third is a temporal-finite element formulation that can predict the stability of variable pitch tools with a constant uniform helix angle, at low radial immersion. The model predictions are compared to previously published work on variable pitch tools, along with time-domain model simulations. Good agreement is found with both previously published results and the time-domain model. Furthermore, cyclic-fold bifurcations were found to exist for both variable pitch and variable helix tools at lower radial immersions.

Item Type: Article
Copyright, Publisher and Additional Information: © 2008 Elsevier Ltd. This is an author produced version of a paper published in "Journal of Sound and Vibration". Uploaded in accordance with the publisher's self-archiving policy.
Institution: The University of Sheffield
Academic Units: The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Mechanical Engineering (Sheffield)
Depositing User: Dr Neil D Sims
Date Deposited: 03 Jul 2009 15:20
Last Modified: 06 Jun 2014 07:32
Published Version: http://dx.doi.org/doi:10.1016/j.jsv.2008.03.045
Status: Published
Publisher: Elsevier
Refereed: Yes
Identification Number: 10.1016/j.jsv.2008.03.045
URI: http://eprints.whiterose.ac.uk/id/eprint/8871

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