Abstract
A framework for modeling the transient response of percussive drilling systems is presented. The proposed approach is based on the distributed transfer function method (DTFM), which is a semi-analytical modeling technique. Experimental results obtained from a percussion testbed for the Regolith and ice drill for the exploration of new terrains (TRIDENT) were incorporated into this modeling technique. DTFM is shown to be a convenient, modular modeling approach, capable of handling complex boundary conditions and drill rod geometries. Moreover, this technique is computationally simple and allows for straightforward incorporation of experimentally measured boundary forcing via numerical convolution, as well as control of the frequency content in the transient response. An experimental study is used to demonstrate the ability of the proposed approach to characterize unknown boundary conditions.
Issue Section:
Research Papers
References
1.
Han
, G.
, Dusseault
, M. B.
, Detournay
, E.
, Thompson
, B.
, and Zacny
, K.
, 2009
, Drilling in Extreme Environments: Penetration and Sampling on Earth and Other Planets
, K.
Zacny
, and Y.
Bar-Cohen
, eds., Wiley-VHC
, Weinheim, Germany
, pp. 131
–132
.2.
Zacny
, K.
, and Bar-Cohen
, Y.
, 2009
, Drilling in Extreme Environments: Penetration and Sampling on Earth and Other Planets
, K.
Zacny
, and Y.
Bar-Cohen
, eds., Wiley-VHC
, Weinheim, Germany
, pp. 1
–28
.3.
Lundberg
, B.
, 1973
, “Energy Transfer in Percussive Rock Destruction I—Comparison of Percussive Methods
,” Int. J. Rock Mech. Min. Sci. Geomech. Abs.
, 10
(5
), pp. 381
–399
. 4.
Lundberg
, B.
, 1973
, “Energy Transfer in Percussive Rock Destruction Ii—Supplement on Hammer Drilling
,” Int. J. Rock Mech. Min. Sci. Geomech. Abs.
, 10
(5
), pp. 401
–419
. 5.
Liu
, F.
, Trkov
, M.
, Yi
, J.
, and Gucunski
, N.
, 2013
, “Modeling of Pure Percussive Drilling for Autonomous Bridge Decks Rehabilitation
,” IEEE International Conference on Automation Science and Engineering
, Madison, WI
, Aug. 17–20
, IEEE, pp. 1063
–1068
.6.
Simon
, R.
, 1964
, “Transfer of the Stress Wave Energy in the Drill Steel of a Percussive Drill to the Rock
,” Int. J. Rock Mech. Min. Sci.
, 1
(3
), pp. 397
–411
. 7.
Simon
, R.
, 1963
, “Energy Balance in Rock Drilling
,” Soc. Pet. Eng. J.
, 3
(4
), pp. 298
–306
. 8.
Hustrulid
, W. A.
, and Fairhurst
, C.
, 1971
, “A Theoretical and Experimental Study of the Percussive Drilling of Rock Part I—Theory of Percussive Drilling
,” Int. J. Rock Mech. Min. Sci. Geomech. Abs.
, 8
(4
), pp. 311
–333
. 9.
Hustrulid
, W. A.
, and Fairhurst
, C.
, 1971
, “A Theoretical and Experimental Study of the Percussive Drilling of Rock Part Ii—Force-Penetration and Specific Energy Determinations
,” Int. J. Rock Mech. Min. Sci. Geomech. Abs.
, 8
(4
), pp. 335
–340
. 10.
Hustrulid
, W. A.
, and Fairhurst
, C.
, 1972
, “A Theoretical and Experimental Study of the Percussive Drilling of Rock Part III—Experimental Verification of the Mathematical Theory
,” Int. J. Rock Mech. Min. Sci. Geomech. Abs.
, 9
(3
), pp. 417
–418
. 11.
Hustrulid
, W. A.
, and Fairhurst
, C.
, 1972
, “A Theoretical and Experimental Study of the Percussive Drilling of Rock Part III—Application of the Model to Actual Percussion Drilling
,” Int. J. Rock Mech. Min. Sci. Geomech. Abs.
, 9
(3
), pp. 431
–442
. 12.
Fischer
, H.
, 1959
, “On Longitudinal Impact I: Fundamentals
,” Appl. Sci. Res.
, 8
, pp. 107
–139
.13.
Lundberg
, B.
, 1993
, “Computer Modeling and Simulation of Percussive Drilling of Rock,” Comprehensive Rock Engineering: Principles, Practice, & Projects
, Vol. 4
: Excavation, Support, and Monitoring, J. A.
Hudson
, C. H.
Dowding
, D. A.
Anderson
, C. K.
McKenzie
, et al, eds., Pergamon Press
, Oxford, UK
, pp. 137
–154
.14.
Carlvik
, I.
, 1981
, “The Generation of Bending Vibrations in Drill Rods
,” Int. J. Rock Mech. Min. Sci. Geomech. Abs.
, 18
(2
), pp. 167
–172
. 15.
Dutta
, P.
, 1968
, “The Determination of Stress Waveforms Produced by Percussive Drill Pistons of Various Geometrical Designs
,” Int. J. Rock Mech. Min. Sci.
, 5
(6
), pp. 501
–518
. 16.
Simon
, R.
, 1963
, “Digital Machine Computations of the Stress Waves Produced by Striker Impacts in Percussion Drilling Machines
,” Fifth Symposium on Rock Mechanics
, Minneapolis, MN
, May 1962
.17.
Goldsmith
, W.
, 1960
, Impact: The Theory and Physical Behavior of Colliding Solids
, Dover Publications Inc.
, Mineola, NY
.18.
Love
, A. E. H.
, 1892
, A Treatise on the Mathematical Theory of Elasticity
, Vol. 1, University Press
, Cambridge
.19.
Pochhammer
, L.
, 1876
, “Uber die fortpflanzungsgeschwindigkeiten kleiner schwingungen in einem unbegrenzten isotropen kreiszylinder
,” J. fur Reine Angew. Math.
, 81
, pp. 324
–336
.20.
Chree
, C.
, 1889
, “The Equations of an Isotropic Elastic Solid in Polar and Cylindrical Co-ordinates
,” Trans. Camb. Philos. Soc.
, 14
, pp. 250
–369
.21.
Rigby
, S.
, Barr
, A.
, and Clayton
, M.
, 2017
, “A Review of Pochhammer–Chree Dispersion in the Hopkinson Bar
,” Eng. Comput. Mech.
, 171
(1
), pp. 1
–21
.22.
Kolsky
, H.
, 1963
, Stress Waves in Solids
, Dover Publications
, New York
.23.
Donnell
, L. G.
, 1930
, “Longitudinal Wave Transmission and Impact
,” Trans. Am. Soc. Mech. Eng.
, 52
, pp. 153
–167
. Academic Dissertation
.24.
de Juhasz
, K. J.
, 1942
, “Graphical Analysis of Impact of Elastic Bars
,” ASME J. Appl. Mech.
, 9
(3), pp. 122
–129
. 25.
Karlsson
, L. G.
, Lundberg
, B.
, and Sundin
, K. G.
, 1989
, “Experimental Study of a Percussive Process for Rock Fragmentation
,” Int. J. Rock Mech. Min. Sci. Geomech. Abs.
, 26
(1
), pp. 45
–50
. 26.
Elias
, D. A.
, and Chiang
, L. E.
, 2003
, “Dynamic Analysis of Impact Tools by Using a Method Based on Stress Wave Propagation and Impulse-Momentum Principle.
,” ASME J. Mech. Des.
, 125
(3
), pp. 131
–142
. 27.
Yang
, B.
, and Tan
, C. A.
, 1992
, “Transfer Functions of One-Dimensional Distributed Parameter Systems
,” ASME J. Appl. Mech.
, 59
(4
), pp. 1009
–1014
. 28.
Yang
, B.
, 2010
, “Exact Transient Vibration of Stepped Bars Shafts and Strings Carrying Lumped Masses
,” J. Sound Vib.
, 329
(8
), pp. 1191
–1207
. 29.
Yang
, B.
, and Noh
, K.
, 2012
, “Exact Transient Vibration of Non-uniform Bars Shafts and Strings Governed by Wave Equations
,” Int. J. Struct. Stab. Dyn.
, 12
(4
), p. 1250022
. 30.
Bergman
, D.
, Glass
, B. J.
, Stucky
, T.
, Zacny
, K.
, Paulsen
, G.
, and McKay
, C.
, 2016
, “Obtaining Vibration Data for Autonomous Health Monitoring of Interplanetary Drills
,” AIAA Space
, Long Beach, CA
, Sept. 13–16
.31.
Graff
, K. F.
, 1975
, Wave Motion in Elastic Solids
, Ohio State University Press
, Columbus, OH
.32.
Lundbeg
, B.
, Carlsson
, J.
, and Sundin
, K. G.
, 1990
, “Analysis of Elastic Waves in Non-Uniform Rods From Two-Point Strain Measurement
,” J. Sound Vib.
, 137
(3
), pp. 483
–493
. 33.
Lundberg
, B.
, and Henchoz
, A.
, 1977
, “Analysis of Elastic Waves From Two-Point Strain Measurement
,” Exp. Mech.
, 17
(6
), pp. 213
–218
. 34.
Carlsson
, J.
, Sundin
, K. G.
, and Lundberg
, B.
, 1990
, “A Method for Determination of In-Hole Dynamic Force-penetration Data From Two-Point Strain Measurement on a Percussive Drill Rod
,” Int. J. Rock Mech. Min. Sci. Geomech. Abs.
, 27
(6
), pp. 553
–555
. Copyright © 2022 by ASME
You do not currently have access to this content.
