An analytical method for stability prediction incorporating the nonlinear influence of the effective lead angle in turning is proposed and validated. It is shown that as the effective lead angle changes, due to depth of cut variations on a nose radiused cutting insert, different structural modes are excited, resulting in different stability results. Experiments have been performed on a two degree-of-freedom system representative of the turning of long, slender bars. It is shown that chatter may be present at low depths of cut, typically less than the nose radius of the insert. The proposed model is also capable of predicting the chatter present at larger depths of cut that is typically reported in literature.

Issue Section:
Technical Briefs
Keywords:
machining, mechanical stability, machine control, cutting, vibrations, stability criteria
Topics:
Stability, Cutting, Chatter
1.
Merritt
,
H. E.
,
1965
, “
Theory of Self-Excited Machine Tool Chatter
,”
ASME J. Eng. Ind.
,
87
, pp.
447
–
454
.
2.
Tlusty, J., and Polacek, M., 1963, “The Stability of the Machine Tool Against Self-Excited Vibration in Machining,” International Research in Production Engineering, pp. 465–474.
3.
Ozdoganlar, O. B., and Endres, W. J., 1998, “An Analytical Stability Solution for the Turning Process with Depth-Direction Dynamics and Corner-Radiused Tooling,” Proceedings of the ASME Symposium on Advances in Modeling, Monitoring, and Control of Machining Systems, DSC-64, pp. 511–518.
4.
Rao
,
B. C.
, and
Shin
,
Y. C.
,
1999
, “
An Comprehensive Dynamic Cutting Force Model for Chatter Prediction in Turning
,”
Int. J. Mach. Tools Manuf.
,
39
, pp.
1631
–
1654
.
5.
Ozdoganlar, O. B., and Endres, W. J., 1997, “A Structured Approach to Analytical Multi-Degree-of-Freedom Time-Invariant Stability Analysis for Machining,” Proceedings of the ASME Symposium on Predictable Modeling in Metal Cutting as Means of Bridging the Gap Between Theory and Practice, MED-6-2, pp. 153–160.
6.
Fu
,
H. J.
,
DeVor
,
R. E.
, and
Kapoor
,
S. G.
,
1984
, “
A Mechanistic Model for the Prediction of the Force System in Face Milling Operations
,”
ASME J. Eng. Ind.
,
106
, pp.
81
–
88
.
7.
Endres
,
W. J.
, and
Waldorf
,
D. J.
,
1994
, “
The Importance of Considering Size Effect Along the Cutting Edge in Predicting the Effective Lead Angle for Turning
,”
Transactions of the NAMRI/SME
,
22
, pp.
65
–
72
.
Copyright © 2002
 by ASME
You do not currently have access to this content.