The effect of gas and fluid flows on nonlinear lateral vibrations of rotating drill strings
| Autor: | Lelya Khajiyeva, Askat K. Kudaibergenov, Askar Kudaibergenov |
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| Rok vydání: | 2018 |
| Předmět: |
Physics
Numerical Analysis Mathematical model Drill Applied Mathematics Angular velocity 02 engineering and technology Mechanics 01 natural sciences Drill string 010305 fluids & plasmas Nonlinear system 020303 mechanical engineering & transports 0203 mechanical engineering Modeling and Simulation 0103 physical sciences Fluid dynamics Galerkin method Added mass |
| Zdroj: | Communications in Nonlinear Science and Numerical Simulation. 59:565-579 |
| ISSN: | 1007-5704 |
| DOI: | 10.1016/j.cnsns.2017.12.008 |
| Popis: | In this work we develop nonlinear mathematical models describing coupled lateral vibrations of a rotating drill string under the effect of external supersonic gas and internal fluid flows. An axial compressive load and a torque also affect the drill string. The mathematical models are derived by the use of Novozhilov's nonlinear theory of elasticity with implementation of Hamilton's variation principle. Expressions for the gas flow pressure are determined according to the piston theory. The fluid flow is considered as added mass inside the curved tube of the drill string. Using an algorithm developed in the Mathematica computation program on the basis of the Galerkin approach and the stiffness switching method the numerical solution of the obtained approximate differential equations is found. Influences of the external loads, drill string angular speed of rotation, parameters of the gas and fluid flows on the drill string vibrations are shown. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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