Analysis of Drill-String Nonlinear Dynamics Using the Lumped-Parameter Method
Khajiyeva L.A. Andrianov I.V. Sabirova Y.F. Kudaibergenov A.K.
July 2022MDPI
Symmetry
2022#14Issue 7
This work aims at studying the nonlinear dynamics of drill strings using the lumped-parameter method (LPM). The study is based on the good consistency of the results of the test problem where the model of the longitudinal vibrations of a horizontal drill string with a static compressive load at the left end is considered. In this paper, this method is applied to discretize linear and nonlinear models of the lateral vibrations of a vertical drill string under the effect of a supersonic gas flow. The obtained results are verified with the previously published data. The optimal number of the drill-string partitions is determined using the developed application, which allows us to estimate the accuracy of the loaded data. The numerical solution of the model is obtained using the fourth-order Runge–Kutta method. The optimization of the numerical algorithm using parallel-programming tools is carried out, and the efficiency of the method is analyzed.
drill string , lateral vibrations , lumped-parameter method , nonlinear , parallel programming
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Department of Mathematical and Computer Modelling, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Chair and Institute of General Mechanics, RWTH Aachen University, Eilfschornsteinstraße 18, Aachen, D-52062, Germany
Department of Mathematical and Computer Modelling
Chair and Institute of General Mechanics
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