Abstract
Based on the two-degree-of-freedom model of drillstring system, this paper establishes the motion differential equation of drillstring system. Meanwhile, considering the uncertain factors in the drilling process, uncertain terms are added to the differential equation to ensure the validity of analysis. Based on the model, this paper studied the influence of drillstring system parameters on stick–slip vibration during drilling. In order to improve the robustness of drillstring system, it proposes a sliding mode controller with uncertain parameters under the condition of disturbance of damping and stiffness coefficient. The stability of the controller is proved by the Lyapunov function. Case analysis shows that the sliding mode controller with uncertain parameters has a good effect on response and robustness of drillstring system. The field experiments are carried out to verify the validity of theoretical model. The results show that the proposed controller can suppress the stick–slip vibration well and two-degree-of-freedom model can study the motion law of drillstring system.
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Tian, J., Xiao, X., Wei, L. et al. Analysis of the Influencing Factors of Stick–Slip Vibration and Its Suppression. Iran J Sci Technol Trans Mech Eng 47, 629–639 (2023). https://doi.org/10.1007/s40997-022-00530-z
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DOI: https://doi.org/10.1007/s40997-022-00530-z