Multiple mode analysis of the self-excited vibrations of rotary drilling systems

By C. Germay, V. Denoël, Emmanuel Detournay. 2009

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Hidden oscillations in mathematical model of drilling system actuated by induction motor with a wound rotor (2014, background): “By now, several attempts have been made to provide mathematical analysis of drilling systems [15,20,26, 28,54,57–59,61,77].”
Probabilistic model identification of the bit–rock-interaction-model uncertainties in nonlinear dynamics of a drill-string (2010, methodology): “Such a nonparametric probabilistic approach uses the random matrix theory for which the probability distributions are constructed using the Maximum Entropy Principle (Jaynes (2003)). In the context of drill-string dynamics identification, Berzi and R. Beccu (1996) do the identification of the nonlin”
Dynamics of a distributed drill string system: Characteristic parameters and stability maps (2018, methodology): “3, Ka is typically quite large, and it has been noted in previous literature that the axial dynamics is unstable for realistic parameter values [18], and dominating with respect to the torsional term with gain Kt by a factor of 10(2)–10(3) [15].”
Unveiling complexity of drill–string vibrations: Experiments and modelling (2015, unknown): “[29] extended the approach proposed in [17] by treating the drill–string as a continuum and utilizing FEM (using Euler–Bernoulli beam model) to study self-excited vibrations.”