Non-Linear Dynamic Analysis of Drill String System with Fluid-Structure Interaction

In this research, the non-linear dynamics of the drill string system model, considering the influence of fluid—structure coupling and the effect of support stiffness, are investigated. Using Galerkin’s method, the equation of motion is discretized into a second-order differential equation. On the ba...

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Main Authors: Rongpeng Wang, Xiaoqin Liu, Guiqiu Song, Shihua Zhou
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/11/19/9047
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author Rongpeng Wang
Xiaoqin Liu
Guiqiu Song
Shihua Zhou
author_facet Rongpeng Wang
Xiaoqin Liu
Guiqiu Song
Shihua Zhou
author_sort Rongpeng Wang
collection DOAJ
description In this research, the non-linear dynamics of the drill string system model, considering the influence of fluid—structure coupling and the effect of support stiffness, are investigated. Using Galerkin’s method, the equation of motion is discretized into a second-order differential equation. On the basis of an improved mathematical model, numerical simulation is carried out using the Runge—Kutta integration method. The effects of parameters, such as forcing frequency, perturbation amplitude, mass ratio and flow velocity, on the dynamic characteristics of the drill string system are studied under different support stiffness coefficients, in which bifurcation diagrams, waveforms, phase diagrams and Poincaré maps of the system are provided. The results indicate that there are various dynamic model behaviors for different parameter excitations, such as periodic, quasi-periodic, chaotic motion and jump discontinuity. The system changes from chaotic motion to periodic motion through inverse period-doubling bifurcation, and the support stiffness has a significant influence on the dynamic response of the drill string system. Through in-depth study of this problem, the dynamic characteristics of the drill string can be better understood theoretically, so as to provide a necessary theoretical reference for prevention measures and a reduction in the number of drilling accidents, while facilitating the optimization of the drilling process, and provide basis for understanding the rich and complex nonlinear dynamic characteristics of the deep-hole drill string system. The study can provide further understanding of the vibration characteristics of the drill string system.
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spelling doaj.art-7a9ec229e30b4b6694d5a982270188d52023-11-22T15:46:56ZengMDPI AGApplied Sciences2076-34172021-09-011119904710.3390/app11199047Non-Linear Dynamic Analysis of Drill String System with Fluid-Structure InteractionRongpeng Wang0Xiaoqin Liu1Guiqiu Song2Shihua Zhou3School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, ChinaSchool of Business Administration, University of Science and Technology Liaoning, Anshan 114051, ChinaSchool of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, ChinaSchool of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, ChinaIn this research, the non-linear dynamics of the drill string system model, considering the influence of fluid—structure coupling and the effect of support stiffness, are investigated. Using Galerkin’s method, the equation of motion is discretized into a second-order differential equation. On the basis of an improved mathematical model, numerical simulation is carried out using the Runge—Kutta integration method. The effects of parameters, such as forcing frequency, perturbation amplitude, mass ratio and flow velocity, on the dynamic characteristics of the drill string system are studied under different support stiffness coefficients, in which bifurcation diagrams, waveforms, phase diagrams and Poincaré maps of the system are provided. The results indicate that there are various dynamic model behaviors for different parameter excitations, such as periodic, quasi-periodic, chaotic motion and jump discontinuity. The system changes from chaotic motion to periodic motion through inverse period-doubling bifurcation, and the support stiffness has a significant influence on the dynamic response of the drill string system. Through in-depth study of this problem, the dynamic characteristics of the drill string can be better understood theoretically, so as to provide a necessary theoretical reference for prevention measures and a reduction in the number of drilling accidents, while facilitating the optimization of the drilling process, and provide basis for understanding the rich and complex nonlinear dynamic characteristics of the deep-hole drill string system. The study can provide further understanding of the vibration characteristics of the drill string system.https://www.mdpi.com/2076-3417/11/19/9047non-linear dynamicsparameter excitationbifurcation diagram
spellingShingle Rongpeng Wang
Xiaoqin Liu
Guiqiu Song
Shihua Zhou
Non-Linear Dynamic Analysis of Drill String System with Fluid-Structure Interaction
Applied Sciences
non-linear dynamics
parameter excitation
bifurcation diagram
title Non-Linear Dynamic Analysis of Drill String System with Fluid-Structure Interaction
title_full Non-Linear Dynamic Analysis of Drill String System with Fluid-Structure Interaction
title_fullStr Non-Linear Dynamic Analysis of Drill String System with Fluid-Structure Interaction
title_full_unstemmed Non-Linear Dynamic Analysis of Drill String System with Fluid-Structure Interaction
title_short Non-Linear Dynamic Analysis of Drill String System with Fluid-Structure Interaction
title_sort non linear dynamic analysis of drill string system with fluid structure interaction
topic non-linear dynamics
parameter excitation
bifurcation diagram
url https://www.mdpi.com/2076-3417/11/19/9047
work_keys_str_mv AT rongpengwang nonlineardynamicanalysisofdrillstringsystemwithfluidstructureinteraction
AT xiaoqinliu nonlineardynamicanalysisofdrillstringsystemwithfluidstructureinteraction
AT guiqiusong nonlineardynamicanalysisofdrillstringsystemwithfluidstructureinteraction
AT shihuazhou nonlineardynamicanalysisofdrillstringsystemwithfluidstructureinteraction