Effect of Periodic Drilling Force on Instability in a Drilling Process

Abstract

The periodic drilling force effect on the dynamic instability of a drill in a drilling process was investigated. This investigation involves the cutting geometry drilling force from the two active parts of a twist drill subjected to small fluctuations during the drilling process. Theoretically, at some drilling force, this small drilling force fluctuation may lead the system into a dynamically unstable condition. Most hole location errors, reaming, and drill fractures occur in this unstable drilling process phase. The dynamic instability in a drilling process is an important issue in increasing the drilling quality and production rate. In this article, a pretwisted beam with a moving Winkler-type elastic foundation is used to simulate the drill and drilling process. Numerical analysis indicates that the unstable regions are enlarged and shifted to a lower frequency suddenly as the drill bites into a workpiece. It is also observed that the thrust force, spinning speed, and pretwisted angle effects drastically change the dynamic instability of drilling.

Keywords

drilling force time-dependent instability

Get full access to this article

View all access options for this article.

References

Katz

Poustie

On the hole quality and drill wandering relationship. Int. J. Adv. Manuf. Technol., 2001, 17 (4), 233–237.

Gupta

Ozdoganlar

O. B.

Kapoor

S. G.

DeVor

R. E.

Modeling and prediction of hole profile in drilling, Part I: Modeling drill dynamics in the presence of drill alignment errors. ASME J. Manuf. Sci. Eng., 2003, 125 (1), 6–13.

Hsu

C. S.

On a restricted class of coupled Hill's equations and some applications. ASME J. Appl. Mech., 1961, 28, 551–557.

Nayfey

A. H.

Mook

D. T.

Nonlinear oscillation, 1979 (John Wiley, New York).

Young

T. H.

Dynamic response of a pretwisted, tapered beam with non-constant rotating speed. J. Sound Vib., 1991, 150 (3), 435–446.

Rosard

D. D.

Natural frequency of twisted cantilever beams. ASME paper 52-A-15, 1952.

Jarrett

G. W.

Warner

P. C.

The vibration of rotating tapered twisted beam. ASME J. Appl. Mech., 1953, 20, 381–389.

Tekinalp

Ulsoy

A. G.

Modeling and finite element analysis of drill bit vibration. ASME J. Vib. Acoustics. Stress. Reliability Des., 1989, 111, 148–155.

Tekinalp

Ulsoy

A. G.

Effect of geometric and process parameters in drill transverse vibration. ASME J. Eng. Ind., 1990, 112, 189–194.

10.

Liao

C. L.

Dang

Y. H.

Structural characteristics of spinning pretwisted orthotropic beams. Comput. Struct., 1992, 45 (4), 715–731.

11.

Magrab

Gilsinn

D. E.

Bucking loads and natural frequency of twist drills. Trans. ASME, 1984, 106, 196–204.

12.

Ulsoy

A. G.

A lumped parameter model for the transverse vibration of drill bit. Control Manuf. Processes Robot. Syst., 1983, 15–25.

13.

Fuji

Marui

Ema

Whirling vibration in drilling. Part 3: Vibration analysis in drilling workpiece with a pilot hole. ASME J. Eng. Ind., 1988, 110, 315–321.

14.

Rincon

D. M.

Ulsoy

A. G.

Complex geometry, rotary inertia and gyroscopic moment effects on drill vibrations. J. Sound Vib., 1995, 188 (5), 701–715.

15.

Ren

Analyses of drill flute and cutting angles. Int. J. Adv. Manuf. Technol., 1999, 15 (8), 546–553.

16.

Spanos

P. D.

Chevallier

A. M.

Politis

N. P.

Nonlinear stochastic drill-string vibrations. ASME. J. Vib. Acoustics, 2002, 124 (4), 512–518.

17.

Hsieh

J. F.

Lin

P. D.

Mathematical model of multiflute drill point. Int. J. Machine Tools Manuf., 2002, 42 (10), 1181–1193.

18.

Iwastsubo

Sugiyama

Ishihara

Stability and stationary vibrations of columns under periodic loads. J. Sound Vib., 1972, 23, 245–257.

19.

Lee

H. P.

Buckling and dynamic stability of spinning pretwisted beams under compressive axial loads. Int. J. Mech. Sci., 1994, 36 (11), 1011–1026.

20.

Lee

H. P.

Dynamic response of a beam with a moving mass. J. Sound Vib., 1996, 192 (2), 289–294.

21.

Ram

Y. M.

Caldwell

Free vibration of a string with moving boundary conditions by the method of distorted images. J. Sound Vib., 1996, 194 (1), 35–47.

22.

Fung

R. F.

Huang

J. S.

Chu

J. J.

Dynamic stability of an axially travelling string/slider coupling system with moving boundary. J. Sound Vib., 1998, 211 (4), 689–701.

23.

Law

S. S.

Zhu

X. Q.

Study on different beam models in moving force identification. J. Sound Vib., 2000, 234 (4), 661–679.

24.

J. S.

Chen

D. W.

Dynamic analysis of a uniform cantilever beam carrying a number of elastically mounted point masses with dampers. J. Sound Vib., 2000, 229 (3), 549–578.

25.

Huang

B. W.

Vibration of a high speed drill (in chinese). Proceedings of National Science Council Research Projects, Taiwan, 2000, NSC89–2212-E-230–006.

26.

Lee

H. P.

Dynamic stability of a tapered cantilever beam on an elastic foundation subjected to a follower force. Int. J. Solid Struct., 1996, 33 (10), 1409–1424.

27.

Huang

B. W.

Kuang

J. H.

Mode localization in a rotating mistuned turbo disk with Coriolis effect. Int. J. Mech. Sci., 2001, 43 (7), 1643–1660.

28.

Young

T. H.

Liou

G. T.

Coriolis effect on the vibration of a cantilever plate with time-varying rotating speed. ASME J. Vib. Acoustics, 1992, 114, 232–241.

29.

Huang

B. W.

Dynamic characteristics of a drill in drilling process. Proc. Instn Mech. Engrs. Part B: J. Engineering Manufacture, 2003, 217(B2), 161–167.