Analysis of the Stress-Strain State of Rotating Drill Strings with a Drilling Mud

Autor: Askar Kudaibergenov, Askat K. Kudaibergenov, Lelya Khajiyeva
Rok vydání: 2021
Předmět:
Zdroj: Advances in Mechanism Design III ISBN: 9783030835934
DOI: 10.1007/978-3-030-83594-1_12
Popis: This paper studies the stress-strain state of a rotating drill string complicated by the effect of a drilling mud flow and external compressive and twisting forces. The drill string is considered in the form of a homogeneous isotropic elastic rod with constant cross-section. A nonlinear mathematical model of the drill string spatial lateral vibrations based on Novozhilov’s nonlinear theory of elasticity is utilized. The Bubnov-Galerkin approach that allows reducing the given PDEs to ODEs and the numerical stiffness-switching method are applied to obtain a solution of the model. To analyze the stress-strain state of the drill string, we use the maximum stress intensity criterion and construct the graphs demonstrating changes of strain and stress in the chosen drill string cross-section with time, and stress distribution over the drill string length with time for nonlinear and linear cases. The research results indicate the significance of accounting for geometric nonlinearity to examine the drill string stress-strain state under the influence of the drilling mud.
Databáze: OpenAIRE