A dynamic deflection model that incorporates the effect of the alignment errors that arise when a drill is held in the spindle assembly has been developed. The drill is modeled as an Euler-Bernoulli beam with clamped-free end conditions. Thrust and radial forces were applied at the free end of the beam. The mechanistic model used to predict these forces has been enhanced to incorporate the effect of the alignment errors and drill vibrations. A method has been outlined to measure these alignment errors. The mechanistic model demonstrates the ability to predict the drill vibrations and the radial forces within 6 percent of the measured vibrations and forces. The effect of these alignment errors on the drill vibrations and the radial forces has also been studied.
Issue Section:
Technical Papers
1.
Watson
, A. R.
, 1985
, “Drilling Model for Cutting Lip and Chisel Edge and Comparison of Experimental and Predicted Results. I-Initial Cutting Lip Model
,” Int. J. Mach. Tool Des. Res.
, 25
(4
), pp. 347
–365
.2.
Watson
, A. R.
, 1985
, “Drilling Model for Cutting Lip and Chisel Edge and Comparison of Experimental and Predicted Results. II-Revised Cutting Lip Model
,” Int. J. Mach. Tool Des. Res.
, 25
(4
), pp. 367
–376
.3.
Watson
, A. R.
, 1985
, “Drilling Model for Cutting Lip and Chisel Edge and Comparison of Experimental and Predicted Results. III-Drilling Model for Chisel Edge
,” Int. J. Mach. Tool Des. Res.
, 25
(4
), pp. 377
–392
.4.
Watson
, A. R.
, 1985
, “Drilling Model for Cutting Lip and Chisel Edge and Comparison of Experimental and Predicted Results. IV-Drilling Tests to Determine Chisel Edge Contribution to Torque and Thrust
,” Int. J. Mach. Tool Des. Res.
, 25
(4
), pp. 393
–404
.5.
Chandrasekharan
, V.
, Kapoor
, S. G.
, and DeVor
, R. E.
, 1998
, “A Mechanistic Model to Predict the Cutting Force System for Arbitrary Drill Point Geometry
,” ASME J. Manuf. Sci. Eng.
, 120
(3
), pp. 563
–570
.6.
Sriram, R., 1996, “An Investigation of the Effect of Radial Forces in Drilling,” Master’s thesis, University of Illinois at Urbana-Champaign, Urbana-Illinois.
7.
Fujii
, H.
, Marui
, E.
, and Ema
, S.
, 1986
, “Whirling Vibration in Drilling. Part 1: Cause of Vibration and Role of Chisel Edge
,” ASME J. Ind.
, 108
, pp. 157
–162
.8.
Fujii
, H.
, Marui
, E.
, and Ema
, S.
, 1986
, “Whirling Vibration in Drilling. part 2: Influence of Drill Geometries, Particularly of the Drill Flank, on the Initiation of Vibration
,” ASME J. Ind.
, 108
, pp. 163
–168
.9.
Fujii
, H.
, Marui
, E.
, and Ema
, S.
, 1988
, “Whirling Vibration in Drilling. Part 3: Vibration Analysis in Drilling Workpiece With a Pilot Hole
,” ASME J. Ind.
, 110
, pp. 315
–321
.10.
Lin, C., Jalisi, M. N., and Ehmann, K. F., 1991, “Modeling and Experimental Analysis of Margin Forces in Micro-Drilling,” ASME Manufacturing Processes and Materials Challenges in Microelectronic Packaging, AMD-Vol. 131/EEP-Vol. 1, pp. 25–33.
11.
Chen
, W. R.
, and Keer
, L. M.
, 1993
, “Transverse Vibrations of a Rotating Twisted Timoshenko Beam Under Axial Loading
,” ASME J. Vibr. Acoust.
, 115
, pp. 285
–294
.12.
Tekinalp
, O.
, and Ulsoy
, A. G.
, 1989
, “Modeling and Finite Element Analysis of Drill Bit Vibrations
,” ASME J. Vibr. Acoust., Stress, Reliab. Des.
111
, pp. 148
–155
.13.
Rincon
, D. M.
, and Ulsoy
, A. G.
, 1995
, “Complex Geometry, Rotary Inertia and Gyroscopic Effects on Drill Vibrations
,” J. Sound Vib.
, 188
, pp. 701
–715
.14.
Lee
, C. W.
, Katz
, R.
, Ulsoy
, A. G.
, and Scott
, R. A.
, 1988
, “Modal Analysis of Distributed Parameter Rotating Shaft
,” J. Sound Vib.
, 122
, pp. 119
–130
.15.
Rincon
, D. M.
, and Ulsoy
, A. G.
, 1995
, “Complex Geometry, Rotary Inertia, and Gyroscopic Moment Effects on Drill Vibrations
,” J. Sound Vib.
, 188
(5
), pp. 701
–715
.16.
Ulsoy
, A. G.
, and Tekinalp
, O.
, 1984
, “Dynamic Modeling of Transverse Drill Bit Vibrations
,” CIRP Ann.
, 33
(1
), pp. 253
–258
.17.
Choi
, S. H.
, Pierre
, C.
, and Ulsoy
, A. G.
, 1992
, “Consistent Modeling of Rotating Timoshenko Shafts Subject to Axial Loads
,” ASME J. Vibr. Acoust.
, 114
, pp. 249
–259
.18.
Lee
, S. J.
, Eman
, K. F.
, and Wu
, S. M.
, 1987
, “An Analysis of the Drill Wandering Motion
,” ASME J. Eng. Ind.
, 109
, pp. 297
–305
.19.
Chiou, R. Y., and Wu, K., 1998, “Analysis of the Runout Effecton Hole Quality in Drilling,” Proceedings of the ASME Manufacturing Science and Engineering Division, pp. 651–658.
20.
Surendran, V., 1998, “A Study of Hole Quality in Drilling,” Master’s thesis, University of Illinois at Urbana-Champaign, Urbana-Illinois.
21.
Meirovitch, L., 1997, Principles and Techniques of Vibrations, Prentice-Hall, Inc., Upper Saddle River, New Jersey 07458.
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