JSME International Journal Series C Mechanical Systems, Machine Elements and Manufacturing
Online ISSN : 1347-538X
Print ISSN : 1344-7653
Dynamics, Measurement and Control
Analytical Prediction of Three Dimensional Chatter Stability in Milling
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Keywords: Chatter, Stability, Milling

2001 Volume 44 Issue 3 Pages 717-723


The chip regeneration mechanism during chatter is influenced by vibrations in three directions when milling cutters with ball end, bull nose, or inclined cutting edges are used. A three dimensional chatter stability is modeled analytically in this article. The dynamic milling system is formulated as a function of cutter geometry, the frequency response of the machine tool structure at the cutting zone in three Cartesian directions, cutter engagement conditions and material property. The dynamic milling system with nonlinearities and periodic delayed differential equations is reduced to a three dimensional linear stability problem by approximations based on the physics of milling. The chatter stability lobes are predicted in the frequency domain using the proposed analytical solution, and verified experimentally in milling a Titanium alloy with a face milling cutter having circular inserts.

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© 2001 by The Japan Society of Mechanical Engineers
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