In this paper, the development of a microplasticity model for predicting th
e effect of crystallographic orientation on the shear angle and the chip fo
rmation, as well as on the variation of micro-cutting force are discussed.
The model forms a basis for the study of material induced vibration phenome
non encountered in ultra-precision machining. Material induced vibration ha
s its origin in the variation of micro-cutting force caused by the changing
crystallography of the material substrate being cut. It is a kind of self-
excited vibration which is difficult to eliminate solely by machine tool de
sign or process control. The magnitude of such vibration inevitably affects
the surface topography of the workpieces in ultra-precision machining, and
this sets a limit on the performance of an ultra-precision machine. A fram
ework of a model-based simulation system is proposed to determine quantitat
ively the magnitude of the vibration and its effect on the surface topograp
hy of a diamond-turned surface. Features predicted from the system are foun
d to correlate well with experimental findings. (C) 1999 Elsevier Science S
.A, All rights reserved.