TY - JOUR
T1 - Coupled axial-torsional dynamics in rotary drilling with state-dependent delay
T2 - stability and control
AU - Liu, Xianbo
AU - Vlajic, Nicholas
AU - Long, Xinhua
AU - Meng, Guang
AU - Balachandran, Balakumar
N1 - Funding Information:
Acknowledgments The authors from Shanghai Jiao Tong University gratefully acknowledge the support received through 973 Grant No. 2011CB706803 and No. 2014CB04660.
Publisher Copyright:
© 2014, Springer Science+Business Media Dordrecht.
PY - 2014/10/22
Y1 - 2014/10/22
N2 - Nonlinear motions of a rotary drilling mechanism are considered, and a two degree-of-freedom model is developed to study the coupled axial-torsional dynamics of this system. In the model development, state-dependent time delay and nonlinearities that arise due to dry friction and loss of contact are considered. Stability analysis is carried out by using a semi-discretization scheme, and the results are presented in terms of stability volumes in the three-dimensional parameter space of spin speed, cutting depth, and a cutting coefficient. These stability volume plots can serve as a guide for choosing parameters for rotary drilling operations. A control strategy based on state and delayed-state feedback is presented with the goal of enlargening the stability region, and the effectiveness of this strategy to suppress stick-slip oscillations is illustrated.
AB - Nonlinear motions of a rotary drilling mechanism are considered, and a two degree-of-freedom model is developed to study the coupled axial-torsional dynamics of this system. In the model development, state-dependent time delay and nonlinearities that arise due to dry friction and loss of contact are considered. Stability analysis is carried out by using a semi-discretization scheme, and the results are presented in terms of stability volumes in the three-dimensional parameter space of spin speed, cutting depth, and a cutting coefficient. These stability volume plots can serve as a guide for choosing parameters for rotary drilling operations. A control strategy based on state and delayed-state feedback is presented with the goal of enlargening the stability region, and the effectiveness of this strategy to suppress stick-slip oscillations is illustrated.
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U2 - 10.1007/s11071-014-1567-y
DO - 10.1007/s11071-014-1567-y
M3 - Article
AN - SCOPUS:84910142050
SN - 0924-090X
VL - 78
SP - 1891
EP - 1906
JO - Nonlinear Dynamics
JF - Nonlinear Dynamics
IS - 3
ER -