Simulation of Movement of Drill Rods at Large Deformations

Abstract

The purpose of the paper is modeling of nonlinear vibrations and stability of movement of boring columns at finite deformations. Movement of boring columns for shallow drilling (up to 500 m) applied in oil-gas extractive industry is considered. Nonlinear models of movement of acompressed-torsioned drill rod within the nonlinear theory of finite deformations of V.V. Novozhilov are constructed. A method for its analysis and criterion of dynamic stability are offered. The numerical analysis of its elastic dislocations and instability zones of the basic resonance is carried out, which confirm the efficiency of the offered nonlinear dynamic model of rod elements and techniques for their calculation.

Modeling of Nonlinear Dynamics of Drill Strings in a Supersonic Air Flow

“…Models with geometric nonlinearity and initial curvature were investigated in [7,8]. In [9] authors used the Floquet theory and partial discretization method for analysis of stability of a drill string, and studied its vibrations at finite strains.…”