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

Nonlinear dynamics of torsional waves in a drill-string model with spatial extent
Nonlinear dynamics of torsional waves in a drill-string model with spatial extent
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 completely
1077-5463
1049-1065
Barton, David A.W.
3003bb1f-d648-4d00-a309-8ab75f333df0
Krauskopf, Bernd
a4fa8a40-8801-45d6-bb33-97f25ee166f1
Wilson, R. Eddie
01d7f1f2-f8ee-4661-b713-dcefcddb89bd
Barton, David A.W.
3003bb1f-d648-4d00-a309-8ab75f333df0
Krauskopf, Bernd
a4fa8a40-8801-45d6-bb33-97f25ee166f1
Wilson, R. Eddie
01d7f1f2-f8ee-4661-b713-dcefcddb89bd

Barton, David A.W., Krauskopf, Bernd and Wilson, R. Eddie (2010) Nonlinear dynamics of torsional waves in a drill-string model with spatial extent. Journal of Vibration and Control, 16 (7-8), 1049-1065. (doi:10.1177/1077546309341108).

Record type: Article

Abstract

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 completely

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Published date: 2010

Identifiers

Local EPrints ID: 184231
URI: http://eprints.soton.ac.uk/id/eprint/184231
ISSN: 1077-5463
PURE UUID: 3d1f7b7c-f505-4c58-abdc-cdebc6a52f71

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Date deposited: 06 May 2011 14:45
Last modified: 16 Jul 2019 23:39

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