Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 31903
A Dynamic Model for a Drill in the Drilling Process

Authors: Bo Wun Huang, Ah Der Lin, Yung Chuan Chen, Jao Hwa Kuang

Abstract:

The dynamic model of a drill in drilling process was proposed and investigated in this study. To assure a good drilling quality, the vibration variation on the drill tips during high speed drilling is needed to be investigated. A pre-twisted beam is used to simulate the drill. The moving Winkler-Type elastic foundation is used to characterize the tip boundary variation in drilling. Due to the variation of the drill depth, a time dependent dynamic model for the drill is proposed. Results simulated from this proposed model indicate that an abrupt natural frequencies drop are experienced as the drill tip tough the workpiece, and a severe vibration is induced. The effects of parameters, e.g. drilling speed, depth, drill size and thrust force on the drill tip responses studied.

Keywords: Drilling, vibration of drill, twisted beam

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1078563

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1342

References:


[1] D. D. Rosard, "Natural Frequency of Twisted Cantilever Beams," in 1952 Pro. ASME Paper No. 52-A-15,
[2] G. W. Jarrett and P. C. Warner, "The Vibration of Rotating Tapered Twisted Beam," ASME, Journal of Applied Mechanics, pp. 381-389,1953.
[3] O. Tekinalp and A. G. Ulsoy, "Modeling and Finite Element Analysis of Drill Bit Vibration," ASME, Journal of Vibration, Acoustics, Stress, and Reliability in Design, vol. 111, pp. 148-155, 1989.
[4] O. Tekinalp and A. G. Ulsoy, "Effect of Geometric and Process Parameters in Drill Transverse Vibration," ASME, Journal of Engineering for Industry, vol. 112, pp. 189-194, 1990.
[5] C. L. Liao, and Y. H. Dang, "Structural Characteristics of Spinning Pretwisted Orthotropic Beams," Computer & Structures, vol. 45, no. 4, pp. 715-731, 1992.
[6] C. L. Liao and B. W. Huang, "Parametric Instability of a Pretwisted Beam under Periodic Axial Force," International Journal of Mechanical Science, vol. 37, no. 4, pp. 423-439, 1995.
[7] E. Magrab and D. E. Gilsinn, "Bucking loads and natural frequency of twist drills," Transactions of ASME, vol. 106, pp. 196-204, 1984.
[8] A. G. Ulsoy, "A lumped parameter model for the transverse vibration of drill bit," in 1989 Proc. Control of Manufacturing Processes and Robotic System, pp. 15-25.
[9] H. Fuji, E. Marui and S. Ema, "Whirling Vibration in drilling part 3: Vibration analysis in Drilling Workpiece with a Pilot Hole," ASME, Journal of engineering for Industry, vol. 110, pp. 315-321, 1988.
[10] D. M. Rincon and A. G. Ulsoy, "Complex Geometry, Rotary Inertia and Gyroscopic Moment Effects on Drill Vibrations," Journal of Sound and Vibration, vol. 188, no. 5, pp. 701-715, 1995.
[11] T. Iwastsubo, Y. Sugiyama and K. Ishihara, "Stability and Stationary Vibrations of Columns under Periodic Loads," Journal of Sound and Vibration, vol. 23, pp. 245-257, 1972.
[12] H. P. Lee, "Buckling and Dynamic Stability of Spinning Pre-twisted Beams under Compressive Axial Loads," International Journal of Mechanical Sciences, vol. 36, no. 11, pp. 1011-1026, 1994.
[13] H. P. Lee, "Dynamic Response of a Beam with a Moving Mass," Journal of Sound and Vibration, vol. 192, no. 2, pp. 289-294,1996.
[14] Y. M. Ram and J. Caldwell, "Free Vibration of a string with Moving Boundary Conditions by The Method of Distorted Images," Journal of Sound and Vibration, vol. 194, no. 1, pp. 35-47, 1996.
[15] R. F. Fung, J. S. Huang and J. J. Chu, "Dynamic Stability of an Axially Travelling String/Slider Coupling System with Moving Boundary," Journal of Sound and Vibration, vol. 211, no.4, pp. 689-701, 1998.
[16] S. S. Law and X. Q. Zhu, "Study on Different Beam Models in Moving Force Identification," Journal of Sound and Vibration, vol. 234, no.4, pp. 661-679, 2000.
[17] J. S. Wu and D. W. Chen, "Dynamic Analysis of a Uniform Cantilever Beam Carrying a Number of Elastically Mounted Point Masses with Dampers," Journal of Sound and Vibration, vol. 229, no. 3, pp. 549-578, 2000.
[18] H. P. Lee, "Dynamic stability of a tapered cantilever beam on an elastic foundation subjected to a follower force," International Journal of Solid and Structure, vol. 33, no. 10, pp. 1409-1424, 1996.
[19] B. W. Huang and J. H. Kuang, , "The Parametric Resonance Instability in a Drilling Process," ASME, Journal of Applied Mechanics, vol. 74, no. 5, pp. 958-964, 2007.