Article thumbnail
Location of Repository

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

By David A.W. Barton, Bernd Krauskopf and R. Eddie 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. We consider the torsional mode of the drill-string and investigate the associated stick-slip motion. To analyze 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 “resonance peaks” in the dynamics where a high-frequency mode is superimposed on the underlying periodic behavior, causing large torsional waves in the drill-string. We show that the resonance peaks are robust to small perturbations in the friction parameters but disappear if static friction forces are neglected completel

Topics: TA
Year: 2010
DOI identifier: 10.1177/1077546309341108
OAI identifier:
Provided by: e-Prints Soton
Sorry, our data provider has not provided any external links therefore we are unable to provide a link to the full text.

Suggested articles

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.