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Machining vibrations on Wikipedia: https://en.wikipedia.org/wiki/Machining_vibrations
Some documents (see more link on the french version of this page):
Manufacturing Automation, Yusuf Altintas (2000)
Machining dynamics, Kay Cheng (2008)
Machining dynamics, Schmitz et Smith (2008)
Historical articles on machining vibrations:
On the art of cutting metal, Fred W. Taylor (1907)
Stability lobe theory, for milling, E. Budak, Y. Altintas (1995)
Variable pitch tools, E. Budak (2003)
(Do not hesitate to propose some other links)