Strength of Materials

, 41:613 | Cite as

Self-excitation of deep-well drill string torsional vibrations

  • V. I. Gulyaev
  • S. N. Khudolii
  • O. V. Glushakova
Article

We address a problem of self-excitation of elastic torsional vibrations of a rotating drill string due to frictional interaction between the drill bit and rock at the deep well bottom. Using the d’Alembert solution to a wave equation, a mathematical model is constructed for a wave torsional pendulum in the form of a nonlinear ordinary differential equation with delayed argument. Special features of generation of self-excited vibrations of drill strings have been determined through computer simulation.

Keywords

drill string drill bit torsional self-excited vibration soft self-excitation 

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Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  • V. I. Gulyaev
    • 1
  • S. N. Khudolii
    • 1
  • O. V. Glushakova
    • 1
  1. 1.National Transport UniversityKievUkraine

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