A MATHEMATICAL MODEL OF MACHINING CHATTER
Abstract
A mathematical model of machining chatter has been developed through an analytical approach in order to predict dynamic cutting force from steady-state cutting tests. The model is derived from a pseudo-static geometric configuration of the cutting process, and by taking into account the fact that the mean friction coefficient fluctuates dynamically responding to variation of the relative speed on the chip-tool interface. The force functions through this derivation can be used to explain all three basic mechanics associated with chatter vibration, namely, velocity dependent, regenerative, and mode coupling mechanisms. The model is successful in predicting the forms of stability boundary over a wide range of cutting speed. It reveals that the cutting force applying on the tool rake face controls the high speed stability. A series of cutting tests have been carried out to examine the validity of the model. The result shows a fairly good agreement between the theoretical predictions of stability limit and the experimental determinations of critical width of cut as the cutting conditions are properly chosen to avoid the presence of built-up-edge on the tool tip.
Degree
Ph.D.
Subject Area
Industrial engineering
Off-Campus Purdue Users:
To access this dissertation, please log in to our
proxy server.