P.A. Bartelt, W. Ammann, and E. Anderheggen The numerical simulation of the impact phenomena in nail penetration Nucl. Eng. Des. 150 1994 431 440
P. Villaggio Hammering of Nails and Pitons Math. Mech. Solids 10 4 2005 461 468
P. Kettil, G. Engstrom, and N. Wiberg Coupled simulation of wave propagation and water pumping phenomenon in driven concrete piles Comput. Struct. 85 3-4 2007 170 178
U.V. Lê A general mathematical model for the collision between a free-fall hammer of a pile-driver and an elastic pile: continuous dependence and low-frequency asymptotic expansion Nonlinear Anal. Real World Appl. 12 1 2011 702 722
L. Zhou, J. Chen, and W. Lao Construction control and pile body tensile stresses distribution pattern during driving J. Geotech. Geoenviron. 133 9 2007 1102 1109
G.L. Cavanough, M. Kochanek, J.B. Cunningham, and I.D. Gipps A self-optimizing control system for hard rock percussive drilling IEEE-ASME T. Mech. 13 2 2008 153 157
L.E. Chiang, and D.A. Elias Modeling impact in down-the-hole rock drilling Int. J. Rock Mech. Min. 37 4 2000 599 613
E. Nordlund The effect of thrust on the performance of percussive rock drills Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 26 I 1989 51 59
W.A. Hustrulid, and C.E. Fairhurst Theoretical and experimental study of percussive drilling of rock-part I-theory of percussive drilling Int. J. Rock Mech. Min. 8 4 1971 311 333
B.R. Stephenson, Measurement of dynamic force-penetration characteristics in Indiana Limestone, Master's Thesis, University of Minnesota, 1963.
B. Haimson, High velocity, low velocity and static penetration characteristics in tennessee marble, Master's Thesis, University of Minnesota, 1965.
W.A. Hustrulid, and C.E. Fairhurst Theoretical and experimental study of percussive drilling of rock-part II-force-penetration and specific energy determinations Int. J. Rock Mech. Min. 8 4 1971 335 356 10.1016/0148-9062(71) 90046-5
L.G. Karlsson, B. Lundberg, and K.G. Sundin Experimental study of a percussive process for rock fragmentation Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 26 1 1989 45 50
S.Y. Wang, S.W. Sloan, H.Y. Liu, and C.A. Tang Numerical simulation of the rock fragmentation process induced by two drill bits subjected to static and dynamic (impact) loading Rock Mech. Rock Eng. 44 3 2010 317 332
T. Saksala Numerical modelling of bit-rock fracture mechanisms in percussive drilling with a continuum approach Int. J. Numer. Anal. Meth. Geomech. 35 2011 1483 1505
F. Zhang, and H. Huang Discrete element modeling of sphere indentation in rocks 45th US Rock Mechanics/Geomechanics Symposium 2011 American Rock Mechanics Association San Francisco, CA, USA
X. Li, G. Rupert, and D.A. Summers Energy transmission of down-hole hammer tool and its conditionality T. Nonferr. Metal Soc. 10 1 2000 109 113
B. Lundberg Microcomputer simulation of percussive drilling Int. J. Rock Mech. Min. Sci. 22 4 1985 237 249
A.M. Krivtsov, and M. Wiercigroch Dry friction model of percussive drilling Meccanica 34 6 1999 425 435
A.M. Krivtsov, and M. Wiercigroch Penetration rate prediction for percussive drilling via dry friction model Chaos Solitons Fractals 11 15 2000 2479 2485
E. Pavlovskaia, M. Wiercigroch, and C. Grebogi Modeling of an impact system with a drift Phys. Rev. E 64 2001 56224 56229
H. Alehossein, E. Detournay, and H. Huang An analytical model for the indentation of rocks by blunt tools Rock Mech. Rock Eng. 33 4 2000 267 284
H. Huang, and E. Detournay Intrinsic length scales in tool-rock interaction Int. J. Geomech. 8 1 2008 39 44
O.K. Ajibose, Nonlinear dynamics and contact fracture mechanics of high frequency percussive drilling, Ph.D. Thesis, University of Aberdeen, 2009.
W. Changming An analytical study of percussive energy transfer in hydraulic rock drills Min. Sci. Technol. 13 1 1991 57 68
M. Amjad, Control of ITH percussive longhole driling in hard rock, Ph.D. Thesis, McGill University, Montreal, Quebec, Canada, 1996.
G. Pearse Hydraulic rock drills Min. Mag. 1985 220 231
O.K. Ajibose, M. Wiercigroch, E. Pavlovskaia, A.R. Akisanya, Contact force models and the dynamics of drifting impact oscillator, in: V. Denoel, E. Detournay (Eds.), First International Colloquium on Non-Linear Dynamics of Deep Drilling Systems, 2009, pp. 33-38.
O.K. Ajibose, M. Wiercigroch, E. Pavlovskaia, A.R. Akisanya, and G. Károlyi Drifting impact oscillator with a new model of the progression phase J. Appl. Mech. 79 6 2012 061007-1 061007-9
M. di Bernardo, C.J. Budd, A.R. Champneys, and P. Kowalczyk Piecewise-smooth Dynamical Systems - Theory and Applications, Vol. 163 2008 Springer-Verlag London Ltd.
R.I. Leine, and H. Nijmeijer Dynamics and Bifurcations of Non-Smooth Mechanical Systems 2004 Springer-Verlag Berlin, Heidelberg
R.I. Leine Bifurcations of equilibria in non-smooth continuous systems Physica D 223 1 2006 121 137
G. Luo, and J. Xie Bifurcations and chaos in a system with impacts Physica D 148 3-4 2001 183 200
J.J.P. Veermana, D. Daescua, M.J. Romero-Vallésb, and P.J. Torres A single particle impact model for motion in avalanches Physica D 238 19 2009 1897 1908
B. Lundberg, and M. Okrouhlik Efficiency of a percussive rock drilling process with consideration of wave energy radiation into the rock Int. J. Impact Eng. 32 2006 1573 1583
V. Acary, and B. Brogliato Numerical Methods for Nonsmooth Dynamical Systems, Applications in Mechanics and Electronics 2008 Springer Verlag Berlin, Heidelberg
A.H. Nayfeh, and B. Balachandran Applied Nonlinear Dynamics: Analytical, Computational and Experimental Methods 1995 Wiley-VCH Verlag GmbH and Co. KGaA Weinheim
R. Seydel Practical Bifurcation and Stability Analysis 2009 Springer New York, Dordrecht, Heidelberg, London
A.M.P. Valli, R.N. Elias, G.F. Carey, and A.L.G.A. Coutinho PID adaptive control of incremental and arclength continuation in nonlinear applications Int. J. Numer. Methods Fluids 61 2009 1181 1200
J. Awrejcewicz, and C.-H. Lamarque Bifurcation and Chaos in Nonsmooth Mechanical Systems 2003 World Scientific Publishing Co.
A. Depouhon, E. Detournay, V. Denoël, Limit cycling behavior of a hybrid system: application to percussive drilling, in: N. van de Wouw, E. Detournay (Eds.), Second International Colloquium on Non-Linear Dynamics and Control of Deep Drilling Systems, 2012, pp. 77-86.
F. Peterka, and J. Vacik Transition to chaotic motion in mechanical systems with impacts J. Sound Vib. 154 1 1992 95 115
F. Peterka Dynamics of double impact oscillators Facta Univ. Ser. Mech. Automat. Control Robot. 2 10 2000 1177 1190
T. Richard, Determination of rock strength from cutting tests, M.S. Thesis, University of Minnesota, 1999.
