Analysis of Drill-String Nonlinear Dynamics Using the Lumped-Parameter Method

This work aims at studying the nonlinear dynamics of drill strings using lumped-parameter method (LPM). The study is based on good consistency results test problem where model longitudinal vibrations a horizontal string with static compressive load left end considered. In this paper, applied to discretize linear and models lateral vertical under effect supersonic gas flow. obtained are verified previously published data. optimal number drill-string partitions determined developed application, which allows us estimate accuracy loaded numerical solution fourth-order Runge–Kutta method. optimization algorithm parallel-programming tools carried out, efficiency analyzed.