Nonlinear dynamics of torsional waves in a drill-string model with spatial extent

  title={Nonlinear dynamics of torsional waves in a drill-string model with spatial extent},
  author={David A. W. Barton and Bernd Krauskopf and R. E. Wilson},
In this paper we investigate the dynamics and bifurcations of an oil-well drill-string model that takes the form of a neutral delay differential equation (NDDE). We consider the torsional mode of the drill-string and investigate the associated stick-slip motion. To analyse the model we develop numerical continuation routines based on Fourier-methods since existing routines based on polynomial approximations are unable to cope with the presence of arbitrarily weakly damped modes. We find… CONTINUE READING


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