P. Pukach, I. Kuzio, Z. Nytrebych
Abstract . We investigate the influence of the motion of fluid flushing the cutter of a well drilling column, and the angular rotational velocity upon dynamic characteristics of its flexural vibrations. We take into account the nonlinear elastic features of column material. As a base of the research we took the Galerkin method and the Van der Pol method. Combining those two methods made possible to obtain the relations describing the main parameters of the dynamical process in both nonresonance and resonance case.
Key words : nonlinear elastic properties, mathematical model, Galerkin method, Van der Pol method, resonance.