@inproceedings{8d421091363d48d588ea0eda2a534aaf,
title = "Milling stability lobes computation through the Lambert W function",
abstract = "This paper illustrates the application of the Lambert W function to determine the stability bounds in one and two degrees of freedom milling cutting operation models. Since the stability lobes obtained by the Lambert W function are highly dependent on the numerical computation algorithm, here we use a different approach than that developed by AsI and Ulsoy to overcome the mathematical difficulties related to matrix commutative properties that simplifies the numerical determination of the stability lobes. At the end of the paper, we compare the results obtained by the Lambert W function with experimental data and other numerical approaches in which the resulting stability lobes have good agreement with experimental data and hopf bifurcation behavior but fail in predicting the period doubling bifurcation.",
keywords = "Delay differential equations, Lambert W function, Milling operation, Stability lobes",
author = "David Olvera and Victor Calva and Gonz{\'a}lez, \{Jos{\'e} Luis\} and Jovanny Pacheco and Alex El{\'i}as-Z{\'u}{\~n}iga and \{De Lacalle\}, \{Luis Norberto L{\'o}pez\}",
year = "2008",
language = "English",
isbn = "0872638618",
series = "Transactions of the North American Manufacturing Research Institution of SME",
pages = "233--239",
booktitle = "Transactions of the North American Manufacturing Research Institution of SME - Paper Presented at NAMRC 36",
note = "Transactions of the North American Manufacturing Research Institution of SME ; Conference date: 20-05-2008 Through 23-05-2008",
}