@inproceedings{21b037d8ec884fc48d51013b339140e9,
title = "Nonlinear dynamics of tool vibration in micro-cutting",
abstract = "This study focuses on the nonlinear dynamic characteristics of tool vibration in ultra precision diamond turning. Considering the first mode vibration of a tool, the tool is modelled as a one degree of freedom spring-mass-damper system with a developed cutting force model. Numerical simulations were carried out to anlyze the nonlinear dynamics of the system, using bifurcation diagrams, Poincar{\'e} maps, phase protraits, time histories and power spectral densities. The results indicated that the dynamic response of the tool is dominantly periodic and harmonic at its natural frequency with a little negligible chaos and its natural frequency, more than its fundamental frequency, is slightly shifted by depth of cut and cutting force.",
keywords = "Cutting forces, Frequency, Micro-cutting, Nonlinear dynamics, Tool vibration, Ultra precision diamond turning",
author = "Zhang, {Shao Jian} and Suet To and Cheung, {Chi Fai}",
year = "2012",
month = jun,
day = "29",
doi = "10.4028/www.scientific.net/KEM.516.645",
language = "English",
isbn = "9783037854280",
series = "Key Engineering Materials",
pages = "645--650",
booktitle = "Proceedings of Precision Engineering and Nanotechnology",
note = "4th International Conference of Asian Society for Precision Engineering and Nanotechnology, ASPEN 2011 ; Conference date: 16-11-2011 Through 18-11-2011",
}