The parametric resonance instability in a drilling process

Journal of Applied Mechanics, Transactions ASME

Volumn 74, Issue 5, 2007, Pages 958-964

  Huang, Bo Wun ^a   Kuang, Jao Hwa ^b  

^a CHENG SHIU UNIVERSITY   (Taiwan)

^b NATIONAL SUN YAT SEN UNIVERSITY   (Taiwan)

Author keywords

Drilling process; Instability; Pre twisted beam

Indexed keywords

BOUNDARY CONDITIONS; ELASTIC CONSTANTS; GALERKIN METHODS; RESONANCE;

DRILLING DEPTH; PARAMETRIC RESONANCE INSTABILITY; PRE-TWISTED BEAM; WINKLER-TYPE ELASTIC FOUNDATION ASSUMPTION;

DRILLING MACHINES (MACHINE TOOLS);

EID: 35348917159     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2722768     Document Type: Article

References (29)

1. Katz, Z., and Poustie, A., 2001, "On the Hole Quality and Drill Wandering Relationship," Int. J. Adv. Manuf. Technol., 17(4), pp. 233-237.
2. Gupta, K., Ozdoganlar, O. B., Kapoor, S. G., and DeVor, R. E., 2003, "Mod-eling and Prediction of Hole Profile in Drilling, Part 1 : Modeling Drill Dynamics in the Presence of Drill Alignment Errors," ASME J. Manuf. Sci. Eng., 125(1), pp. 6-13.
3. Hsu, C. S., 1961, "On a Restricted Class of Coupled Hill's Equations and Some Applications," ASME J. Appl. Mech., 28, pp. 551-557.
4. Nayfey, A. H., and Mook, D. T., 1979, Nonlinear Oscillation, Wiley, New York.
5. Young, T. H., 1991, "Dynamic Response of A Pretwisted, Tapered Beam With Non-constant Rotating Speed," J. Sound Vib., 150(3), pp. 435-446.
6. Liao, C. L., and Huang, B. W., 1995, "Parametric Resonance of a Spinning Pretwisted Beam With Time-Dependent Spinning Rate," J. Sound Vib., 180(1), pp. 47-65.
7. Rosard, D. D., 1952, "Natural Frequency of Twisted Cantilever Beams," ASME Paper No. 52-A-15.
8. Jarrett, G. W., and Warner, P. C., 1953, "The Vibration of Rotating Tapered Twisted Beam," ASME J. Appl. Mech., 20, pp. 381-389.
9. Tekinalp, O., and Ulsoy, A. G., 1989, "Modeling and Finite Element Analysis -of Drill Bit Vibration," ASME J. Vib., Acoust., Stress, Reliab. Des., 111, pp. 148-155.
10. Tekinalp, O., and Ulsoy, A. G., 1990, "Effect of Geometric and Process Parameters in Drill Transverse Vibration," ASME J. Eng. Ind., 112, pp. 189-194.
11. Liao, C. L., and Dang, Y. H., 1992, "Structural Characteristics of Spinning Pretwisted Orthotropic Beams," Comput. Struct., 45(4), pp. 715-731.
12. Liao, C. L., and Huang, B. W., 1995, "Parametric Instability of a Pretwisted Beam Under Periodic Axial Force," Int. J. Mech. Sci., 37(4), pp. 423-439.
13. Magrab, E. B., and Gilsinn, D. E., 1984, "Buckling Loads and Natural Frequencies of Drill Bits and Fluted Cutters," ASME J. Eng. Ind., 106, pp. 196-204.
14. Ulsoy, A. C., 1983, "A Lumped Parameter Model for the Transverse Vibration of Drill Bits," Proceedings of Control of Manufacturing Processes and Robotic Systems, ASME, New York, pp. 15-25.
15. Fuji, H., Marui, E., and Ema, S., 1988, "Whirling Vibration in Drilling Part 3; Vibration Analysis in Drilling Workpiece With a Pilot Hole," ASME J. Eng. Ind., 110, pp. 315-321.
16. 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.
17. Ren, K., and Ni, J., 1999, "Analyses of Drill Flute and Cutting Angles," Int. J. Adv. Manuf. Technol., 15(8), pp. 546-553.
18. Spanos, P. D., Chevallier, A. M., and Politis, N. P., 2002, "Nonlinear Stochastic Drill-String Vibrations," ASME J. Vibr. Acoust., 124(4), pp. 512-518.
19. Hsieh, J. F., and Lin, P. D., 2002, "Mathematical Model of Multiflute Drill Point," Int. J. Mach. Tools Manuf., 42(10), pp. 1181-1193.
20. Iwastsubo, T., Sugiyama, Y., and Ishihara, K., 1972, "Stability and Stationary Vibrations of Columns Under Periodic Loads," J. Sound Vib., 23, pp. 245-257.
21. Lee, H. P., 1994, "Buckling and Dynamic Stability of Spinning Pre-twisted Beams Under Compressive Axial Loads," Int. J. Mech. Sci., 36(11), pp. 1011-1026.
22. Lee, H. P., 1996, "Dynamic Response of a Beam With a Moving Mass," J. Sound Vib., 192(2), pp. 289-294.
23. Ram, Y. M., and Caldweli, J., 1996, "Free Vibration of a String With Moving Boundary Conditions by the Method of Distorted Images," J. Sound Vib., 194(1), pp. 35-47.
24. Fung, R. F., Huang, J. S., and Chu, J. J., 1998, "Dynamic Stability of an Axially Travelling String/Slider Coupling System With Moving Boundary," J. Sound Vib., 211(4), pp. 689-701.
25. Law, S. S., and Zhu, X. Q., 2000, "Study on Different Beam Models in Moving Force Identification," J. Sound Vib., 234(4), pp. 661-679.
26. Wu, J. S., and Chen, D. W., 2000, "Dynamic Analysis of a Uniform Cantilever Beam Carrying a Number of Elastically Mounted Point Masses With Dampers," J. Sound Vib., 229(3), pp. 549-578.
27. Huang, B. W., 2000, "Vibration of a High Speed Drill," Proceedings of National Science Council Research Projects, Kaohsiung, Taiwan, December, 2000, Paper No. NSC89-2212-E-230-006 (in Chinese).
28. Lee, H. P., 1996, "Dynamic Stability of a Tapered Cantilever Beam on an Elastic Foundation Subjected to a Follower Force," Int. J. Solids Struct., 33(10), pp. 1409-1424.
29. Huang, B. W., 2003, "Dynamic Characteristics of a Drill in Drilling Process," IMechE, IMechE Conf. Trans., 217, pp. 161-167.