In this paper, the mathematical model of the oscillation-assisted cylindrical plunge grinding process has been presented. In this model, the dynamical properties of the grinder, self-excited vibration (regenerative chatter), and nonlinear behavior of the grinding force have been taken into consideration. This mathematical model has been applied to analyze both formation and development of chatter on the workpiece and the grinding wheel surface during oscillation-assisted cylindrical plunge grinding. The frequency response function (FRF), describing dynamical properties of the grinder, has been determined by means of modal experiment. The model has been implemented in matlab-simulink environment in order to perform simulations. The results of the simulations confirmed the antiregenerative properties of the oscillations of the workpiece rotational movement during cylindrical plunge grinding.

References

References
1.
Altintas
,
Y.
, and
Weck
,
M.
,
2004
, “
Chatter Stability of Metal Cutting and Grinding
,”
CIRP Ann. Manuf. Technol.
,
53
(
2
), pp.
619
642
.10.1016/S0007-8506(07)60032-8
2.
Hahn
,
R. S.
,
1963
, “
Grinding Chatter—Causes and Cures
,”
The Tool and Manufacturing Engineer
,
ASTME, Detroit
,
MI
., pp.
74
78
.
3.
Inasaki
,
I.
,
1977
, “
Regenerative Chatter in Grinding
,”
Proceedings of the 18 MTDR Conference
, pp.
423
429
.
4.
Inasaki
,
I.
,
Karpuschewski
,
B.
, and
Lee
,
H.-S.
,
2001
, “
Grinding Chatter—Origin and Suppression
,”
Ann. CIRP
,
50
(
2
), pp.
1
20
.10.1016/S0007-8506(07)62992-8
5.
Younis
,
M. A.
,
1972
, “
Theoretische und praktische Untersuchung des Ratterverhaltens beim Außenrundschleifen
,” Dissertation, RWTH, Aachen, Germany (in German).
6.
Marchelek
,
K.
,
1991
,
Dynamics of Machine Tools
,
WNT
,
Warsaw
(in Polish).
7.
Oczoś
,
K.
, and
Porzycki
,
J.
,
1986
,
Grinding—Fundamentals and Technique
,
WNT
,
Warsaw
(in Polish).
8.
Tomków
,
J.
,
1997
,
Vibrostability of Machine Tools. Computer Aided Computation and Experiments
,
WNT
,
Warsaw
(in Polish).
9.
Oryński
,
F.
, and
Pawłowski
,
W.
,
1999
, “
The Influence of Grinding Process on Forced Vibration Damping in Headstock of Grinding Wheel of Cylindrical Grinder
,”
Int. J. Mach. Tools Manuf.
,
39
, pp.
229
235
.10.1016/S0890-6955(98)00023-6
10.
Oryński
,
F.
, and
Pawłowski
,
W.
,
2002
, “
The Mathematical Description of Dynamics of the Cylindrical Grinder
,”
Int. J. Mach. Tools Manuf.
,
42
(
7
), pp.
773
780
.10.1016/S0890-6955(02)00020-2
11.
Oryński
,
F.
, and
Pawłowski
,
W.
,
2004
, “
Simulation and Experimental Research of the Grinder's Wheelhead Dynamics
,”
Int. J. Vib. Control
,
10
(
6
), pp.
915
930
.10.1177/1077546304041369
12.
Pawłowski
,
W.
,
1999
, “
The Effect of Grinding Parameters on Forced Vibration Damping of Wheelhead in Cylindrical Grinding
,” Ph.D. thesis, Lodz University of Technology, Lodz, Poland (in Polish).
13.
Eksioglu
,
C.
,
Kilic
,
Z. M.
, and
Altintas
,
Y.
,
2012
, “
Discrete-Time Prediction of Chatter Stability, Cutting Forces, and Surface Location Errors in Flexible Milling Systems
,”
ASME J. Manuf. Sci. Eng.
,
134
(
6
), p.
061006
.10.1115/1.4007622
14.
Hahn
,
R. S.
,
1964
, “
Gyroscopically Induced Vibrations in Grinding Spindles
,”
Ann. CIRP
,
13
(
4
), pp.
381
388
.
15.
Mannan
,
M. A.
,
Drew
,
S. J.
, and
Stone
,
B. J.
,
2000
, “
Torsional Vibration Effects in Grinding?
,”
Ann. CIRP
,
49
(
1
), pp.
249
252
.10.1016/S0007-8506(07)62939-4
16.
Movahhedy
,
M. R.
, and
Mosaddegh
,
P.
,
2006
, “
Prediction of Chatter in High Speed Milling Including Gyroscopic Effects
,”
Int. J. Mach. Tools Manuf.
,
46
(
9
), pp.
996
1001
.10.1016/j.ijmachtools.2005.07.043
17.
Pawłowski
,
W.
,
2003
, “
Application of CAD Program for Mechanical Systems Modeling and Analysis
,”
TiAM
,
2
, pp.
12
15
(in Polish).
18.
Pawłowski
,
W.
,
2009
, “
Dynamical Properties Examination of Digital Prototype of Cylindrical Grinder's Headstock
,”
Mechanik
,
5–6
, pp.
431
435
(in Polish).
19.
Pawłowski
,
W.
, and
Oryński
,
F.
,
2008
, “
Methods of Grinders Dynamics Modeling With Chatter
,”
Mechanik
,
11
, pp.
918
921
(in Polish).
20.
Pawłowski
,
W.
,
2010
, “
Vibratory Cylindrical Plunge Grinding
,” D.Sc. thesis, Zeszyty Naukowe Politechniki Łódzkiej, Nr 654, Rozprawy Naukowe, z. 174, Lodz, Poland (in Polish).
21.
Maslov
,
E. N.
,
1974
,
Theory of Material Grinding
,
Masinostroenie
,
Moscow
(in Russian).
22.
Inasaki
,
I.
,
Tonou
,
K.
, and
Yonetsu
,
S.
,
1977
, “
Regenerative Chatter in Cylindrical Plunge Grinding
,”
Bull. JSME
,
20
(
150
), pp.
1648
1654
.10.1299/jsme1958.20.1648
23.
Mrozek
,
B.
, and
Mrozek
,
Z.
,
2004
,
Matlab and Simulink
,
Helion
,
Gliwice, Poland
(in Polish).
24.
Wołk
,
R.
,
1972
,
Worktime Standardizing for Machining With Machine Tools
,
WNT
,
Warsaw
(in Polish).
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