International Applied Mechanics

, Volume 49, Issue 3, pp 350–359 | Cite as

Self-excited vibrations of a drillstring bit

  • V. I. GulyaevEmail author
  • P. Z. Lugovoi
  • E. I. Borshch

The whirling vibrations of a rotating drillstring bottom-hole assembly subject to the moment of friction are analyzed qualitatively. A problem statement and solution are given. The self-excitation of vibrations is simulated. It is established that during the self-excitation of whirling vibrations, the axial line of the drill bit can slowly and rapidly move over intricately shaped nonsmooth conical surfaces


drillstring rotating drill bit frictional force nonconservative moment whirling vibration 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    E. I. Borshch, E. V. Vashchilina, and V. I. Gulyaev, “Helical traveling waves in elastic rods,” Mech. Solids, 44, No. 2, 288–293 (2009).CrossRefGoogle Scholar
  2. 2.
    V. I. Gulyaev, E. V. Vashchilina, and E. I. Borshch, “Spiral waves in rotating twisted elastic pipes,” Int. Appl. Mech., 44, No. 3, 345–352 (2008).ADSCrossRefGoogle Scholar
  3. 3.
    V. I. Gulyaev, V. V. Gaidaichuk, and 2. V. Gorbunovich, “Advanced methods for theoretical modeling of mechanical states of drillstrings in vertical boreholes,” Naftova 3 Gazova Promysl., No. 4, 22–25 (2008).Google Scholar
  4. 4.
    V. I. Gulyaev, P. Z, Lugovoi, and E. N. Andrusenko, “Mechanical behavior of drillstrings in curved boreholes with local geometrical imperfections,” Int. Appl. Mech., 46, No. 12, 1410–1419 (2010).CrossRefGoogle Scholar
  5. 5.
    G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers. Definitions, Theorems, and Formulas for Reference and Review, McGraw-Hill, New York (1974).Google Scholar
  6. 6.
    A. I. Lurie, Analytical Mechanics, Springer, Berlin–New York (2002).zbMATHGoogle Scholar
  7. 7.
    H. Ziegler, Principles of Structural Stability, Blaisdel, Waltham (1968).Google Scholar
  8. 8.
    J. F. Brett, T. M. Warren, and S. M. Behr, “Bit whirl—A new theory of PDC bit failure,” SPE Drill. Eng., 5, December, 275–281 (1990).Google Scholar
  9. 9.
    A. P. Christoforou and A. S. Yigit, “Dynamic modelling of rotating drillstrings with borehole interactions,” J. Sound Vibr., 206, No. 2, 243–260 (1997).ADSCrossRefGoogle Scholar
  10. 10.
    V. I. Gulyayev, V. V. Gaidaichuk, I. L. Solovjov, and I. V. Gorbunovich, “The buckling of elongated rotating drill strings,” J. Petroleum Sci. Eng., 67, 140–148 (2009).CrossRefGoogle Scholar
  11. 11.
    V. I. Gulyayev, S. N. Hudoly, and L. V. Glovach, “The computer simulation of drill column dragging in inclined bore-holes with geometrical imperfections,” Int. J. Solids Struct., 48, 110–118 (2011).zbMATHCrossRefGoogle Scholar
  12. 12.
    J. D. Jansen, “Whirl and chaotic motion of stabilized drill collars,” SPE Drill. Eng., 7, No. 2, 107–114 (1992).Google Scholar
  13. 13.
    V. J. Kim, N. W. James, and S. Rong-Juin, “Case studies of the bending vibration and whirling motion of drill collars,” SPE Drill. Eng., 5, December, 282–290 (1990).Google Scholar
  14. 14.
    R. I. Leine, D. H. Van Campen, and W. J. G. Keulties, “Stick–slip whirl interaction in drillstring dynamics,” J. Vibr. Acoust., 124, No. 4, 209–220 (2002).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • V. I. Gulyaev
    • 1
    Email author
  • P. Z. Lugovoi
    • 2
  • E. I. Borshch
    • 1
  1. 1.National University of TransportKyivUkraine
  2. 2.S. P. Timoshenko Institute of MechanicsNational Academy of Sciences of UkraineKyivUkraine

Personalised recommendations