Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 39, Issue 4, Pages 949-958Publisher
WILEY
DOI: 10.1002/mma.3543
Keywords
milling chatter; semi-discretization method; multiple delays; variable pitch cutter; stability; runout
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Funding
- National Natural Science Foundation of China [51405343]
- Tianjin Research Program of Application Foundation and Advanced Technology [12JCZDJC28000, 15JCQNJC05000]
- Innovation Team Training Plan of Tianjin Universities and colleges [TD12-5043]
- cultivation plan for young and key creative talents in Tianjin [KC14-07]
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Milling chatter leads to a poor surface finish, premature tool wear, and potential damage to the machine or tool. Thus, it is desirable to predict and avoid the onset of this instability. Considering that the stability of milling with variable pitch cutter or tool runout case is characterized by multiple delays, in this paper, an improved semi-discretization method is proposed to predict the stability lobes for milling processes with multiple delays. Taking the variable pitch milling, for example, a comparisonwith prior methods is conducted to verify the accuracy and efficiency of the proposed approach for the stability prediction both in low and high radial immersion ratios. In addition, the rate of convergence of the proposed method is also evaluated. The results show that the proposed method has high computational efficiency. Copyright (c) 2015 John Wiley & Sons, Ltd.
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