2004 Volume 70 Issue 699 Pages 3266-3270
One of the most crucial issues in drilling is the detection and prediction of drill breakage in small diameter of less than 2.0 mm. When the drilling is irregular, due to factors such as a worn cutting edge or a hard spot in the workpiece, the drill deflects as a column and induces vibration as it scraps on the side or bottom of the hole, thus resulting in drill failure. If the drill edge position can be observed and controlled in real time, the drill breakage will be prevented and the machining accuracy can be improved accordingly. In this paper, a new mathematical drilling model is proposed in the form of transfer functions and then modified into a state space expression. Controllability and observability are investigated by the rank of their matrices obtained from state and output equations. It was found from analysis that the drill edge position is both controllable and observable.
Transactions of the Society of Mechanical Engineers
Transactions of the Japan Society of Mechanical Engineers
Transactions of the Japan Society of Mechanical Engineers Series A
Transactions of the Japan Society of Mechanical Engineers Series B
TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C
TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B
TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A
