期刊
NONLINEAR DYNAMICS
卷 78, 期 3, 页码 1891-1906出版社
SPRINGER
DOI: 10.1007/s11071-014-1567-y
关键词
Drill string; State-dependent time delay; Stability analysis; Semi-discretization method; Stick-slip vibrations; Vibration control
资金
- Shanghai Jiao Tong University [2011CB706803, 2014CB04660]
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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