Abstract
Stability prediction is important to avoid chatter and improve production efficiency in cutting process. Many methods including analytical, experimental, and numerical ones have been proposed. In this work, a stability criteria method using argument principle is proposed for a general dynamical systems. The method needs only to evaluate the characteristic function on a straight segment on the imaginary axis and the argument on the boundary of a bounded half circular region. The method is applied to three milling models in cutting process. Examples which show the evaluation of stability criteria proposed in the paper is simple and valid compared with full-discretization method.
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The first author was supported by NSF (51105135) and MNST (2010ZX04016-012).
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Du, H., Zhao, C. & Wu, W. Stability criteria based on argument principle of a general dynamical system in cutting process. Int J Adv Manuf Technol 70, 747–753 (2014). https://doi.org/10.1007/s00170-013-5313-2
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DOI: https://doi.org/10.1007/s00170-013-5313-2