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

DOI

10.2991/kam-15.2015.45How to use a DOI?

Keywords

drill string; nonlinear model; lateral vibrations; air flow; stiffness switching method.

Abstract

In this work we study nonlinear lateral vibrations of a drill string moving in a supersonic air flow. A nonlinear mathematical model of drill string vibrations is created on the basis of the nonlinear theory of elasticity making use of the Hamilton principle. Solution to the model is obtained by the Bubnov-Galerkin method in the first, second and third approximations. After reducing to a system of ordinary differential equations the numerical stiffness switching method is applied since the problem appears to be stiff. Comparative analysis of the nonlinear model and its geometrically linear analogue is carried out, and the significance of application of the governing equations taking into account geometric nonlinearity is shown. Drill strings with various parameters of length, operating frequency, axial force, and air flow pressure are investigated.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Khajiyeva L.A.
AU  - A.K. Kudaibergenov
PY  - 2015/06
DA  - 2015/06
TI  - Modeling of Nonlinear Dynamics of Drill Strings in a Supersonic Air Flow
BT  - Proceedings of the 5th International Symposium on Knowledge Acquisition and Modeling
PB  - Atlantis Press
SP  - 163
EP  - 167
SN  - 1951-6851
UR  - https://doi.org/10.2991/kam-15.2015.45
DO  - 10.2991/kam-15.2015.45
ID  - L.A.2015/06
ER  -