TY - GEN
T1 - Analysis of stick-slip oscillations of drill-string via cosserat rod model
AU - Silveira, Marcos
AU - Wang, Charles
AU - Wiercigroch, Marian
PY - 2013/1/1
Y1 - 2013/1/1
N2 - An integrated model for the study of the complex dynamical and geometrical behaviour of a drill-string is developed based on the modified Cosserat rod element method. The model includes general deformation of the rod with flexure, extension, torsion and shear, and allows analysis of the main vibration modes, torsional, axial and lateral, and also their couplings. Shape functions are obtained from the solution of nonlinear partial differential equations of motion in quasistatic sense, containing up to third order nonlinear terms, and the final ordinary differential equations of motion for the elements are derived from Lagrange's approach. Boundary conditions are taken as applied to a drill-string to account for the motor and the drill-bit. The model offers significant performance advantage over a standard Finite Element approach, which facilitates numerical analysis. Such model is capable of simulating stick-slip oscillations in the drill-bit-rock interface and contact of the drill-string with borehole wall along its length.
AB - An integrated model for the study of the complex dynamical and geometrical behaviour of a drill-string is developed based on the modified Cosserat rod element method. The model includes general deformation of the rod with flexure, extension, torsion and shear, and allows analysis of the main vibration modes, torsional, axial and lateral, and also their couplings. Shape functions are obtained from the solution of nonlinear partial differential equations of motion in quasistatic sense, containing up to third order nonlinear terms, and the final ordinary differential equations of motion for the elements are derived from Lagrange's approach. Boundary conditions are taken as applied to a drill-string to account for the motor and the drill-bit. The model offers significant performance advantage over a standard Finite Element approach, which facilitates numerical analysis. Such model is capable of simulating stick-slip oscillations in the drill-bit-rock interface and contact of the drill-string with borehole wall along its length.
KW - Cosserat rod model
KW - Drill-string
KW - Stick-slip oscillations
UR - http://www.scopus.com/inward/record.url?scp=84948752869&partnerID=8YFLogxK
U2 - 10.1007/978-94-007-5742-4_26
DO - 10.1007/978-94-007-5742-4_26
M3 - Published conference contribution
AN - SCOPUS:84948752869
SN - 9789400757417
SN - 9789400794511
T3 - IUTAM Bookseries
SP - 337
EP - 345
BT - IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design
A2 - Wiercigroch, Marian
A2 - Rega, Giuseppe
PB - Springer
T2 - IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design, 2010
Y2 - 27 July 2010 through 30 July 2010
ER -