Modelling of Coupled Nonlinear Axial and Lateral Vibrations of Drill Strings

Authors

  • Askar K. Kudaibergenov
  • Askat K. Kudaibergenov

Keywords:

drill string, nonlinear model, axial and lateral vibrations, rod, the Bubnov-Galerkin method, stiffness switching method

Abstract

In this work a nonlinear mathematical model of coupled axial and lateral vibrations of a drill string under the effect of a longitudinal compressing force is investigated. The drill string is modelled in the form of a rotating elastic rod. To solve the model the Bubnov-Galerkin method and numerical stiffness switching method are applied. It is shown that the coupled axial and lateral vibrations of the drill string only arise at odd frequencies in Bubnov-Galerkin's expansion. Numerical analysis of the influence of the drill string geometrical and frequency characteristics on its vibrations is carried out, and the corresponding recommendations are provided.

References

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Published

2015-12-26

How to Cite

Kudaibergenov, A. K., & Kudaibergenov, A. K. (2015). Modelling of Coupled Nonlinear Axial and Lateral Vibrations of Drill Strings. International Journal of Mathematics and Physics, 6(2), 27–35. Retrieved from https://ijmph.kaznu.kz/index.php/kaznu/article/view/145

Issue

Section

Informatics and Mathematical Modeling