On Nonlinear Spatial Vibrations of Rotating Drill Strings under the Effect of a Fluid Flow
Kudaibergenov A.K. Kudaibergenov A.K. Khajiyeva L.A.
2023World Scientific and Engineering Academy and Society
WSEAS Transactions on Applied and Theoretical Mechanics
2023#1875 - 83 pp.
In this article, the development and subsequent numerical analysis of a nonlinear mathematical model of the drill-string dynamics taking into account the effect of a drilling fluid flow and the gravitational energy of the system is carried out. Spatial lateral vibrations of the drill string modeled as a rotating elastic rod are studied. The developed nonlinear model generalizes and refines the well-known linear models of rod vibrations with the considered effect. The obtained numerical results demonstrate the influence of geometric nonlinearity, the gravitational energy of the drilling system, additional Coriolis and centrifugal forces as well as the parameters of the fluid flow on spatial vibrations of the drill strings. It allows for giving some recommendations on the choice of the drilling system parameters for ensuring safe drilling operations.
drill string , fluid flow , mathematical model , nonlinear , rod , vibration
Text of the article Перейти на текст статьи
Department of Mathematical and Computer Modeling, Al-Farabi Kazakh National University, 71 al-Farabi Ave., Almaty, 050040, Kazakhstan
Department of Mathematical and Computer Modeling
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026