Coupled axial-torsional dynamics in rotary drilling with state-dependent delay: stability and control

Xianbo Liu; Nicholas Vlajic; Xinhua Long; Guang Meng; Balakumar Balachandran

doi:10.1007/s11071-014-1567-y

Coupled axial-torsional dynamics in rotary drilling with state-dependent delay: stability and control

Xianbo Liu
, Nicholas Vlajic
, Xinhua Long
, Guang Meng
, Balakumar Balachandran

Research output: Contribution to journal › Article › peer-review

122 Scopus citations

Abstract

Nonlinear motions of a rotary drilling mechanism are considered, and a two degree-of-freedom model is developed to study the coupled axial-torsional dynamics of this system. In the model development, state-dependent time delay and nonlinearities that arise due to dry friction and loss of contact are considered. Stability analysis is carried out by using a semi-discretization scheme, and the results are presented in terms of stability volumes in the three-dimensional parameter space of spin speed, cutting depth, and a cutting coefficient. These stability volume plots can serve as a guide for choosing parameters for rotary drilling operations. A control strategy based on state and delayed-state feedback is presented with the goal of enlargening the stability region, and the effectiveness of this strategy to suppress stick-slip oscillations is illustrated.

Original language	English (US)
Pages (from-to)	1891-1906
Number of pages	16
Journal	Nonlinear Dynamics
Volume	78
Issue number	3
DOIs	https://doi.org/10.1007/s11071-014-1567-y
State	Published - Oct 22 2014

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Aerospace Engineering
Ocean Engineering
Mechanical Engineering
Electrical and Electronic Engineering
Applied Mathematics

Access to Document

10.1007/s11071-014-1567-y

Cite this

@article{bcd5e89e53c449768c08b83eea301f63,

title = "Coupled axial-torsional dynamics in rotary drilling with state-dependent delay: stability and control",

abstract = "Nonlinear motions of a rotary drilling mechanism are considered, and a two degree-of-freedom model is developed to study the coupled axial-torsional dynamics of this system. In the model development, state-dependent time delay and nonlinearities that arise due to dry friction and loss of contact are considered. Stability analysis is carried out by using a semi-discretization scheme, and the results are presented in terms of stability volumes in the three-dimensional parameter space of spin speed, cutting depth, and a cutting coefficient. These stability volume plots can serve as a guide for choosing parameters for rotary drilling operations. A control strategy based on state and delayed-state feedback is presented with the goal of enlargening the stability region, and the effectiveness of this strategy to suppress stick-slip oscillations is illustrated.",

author = "Xianbo Liu and Nicholas Vlajic and Xinhua Long and Guang Meng and Balakumar Balachandran",

note = "Publisher Copyright: {\textcopyright} 2014, Springer Science+Business Media Dordrecht.",

year = "2014",

month = oct,

day = "22",

doi = "10.1007/s11071-014-1567-y",

language = "English (US)",

volume = "78",

pages = "1891--1906",

journal = "Nonlinear Dynamics",

issn = "0924-090X",

publisher = "Springer Netherlands",

number = "3",

}

TY - JOUR

T1 - Coupled axial-torsional dynamics in rotary drilling with state-dependent delay

T2 - stability and control

AU - Liu, Xianbo

AU - Vlajic, Nicholas

AU - Long, Xinhua

AU - Meng, Guang

AU - Balachandran, Balakumar

PY - 2014/10/22

Y1 - 2014/10/22

N2 - Nonlinear motions of a rotary drilling mechanism are considered, and a two degree-of-freedom model is developed to study the coupled axial-torsional dynamics of this system. In the model development, state-dependent time delay and nonlinearities that arise due to dry friction and loss of contact are considered. Stability analysis is carried out by using a semi-discretization scheme, and the results are presented in terms of stability volumes in the three-dimensional parameter space of spin speed, cutting depth, and a cutting coefficient. These stability volume plots can serve as a guide for choosing parameters for rotary drilling operations. A control strategy based on state and delayed-state feedback is presented with the goal of enlargening the stability region, and the effectiveness of this strategy to suppress stick-slip oscillations is illustrated.

AB - Nonlinear motions of a rotary drilling mechanism are considered, and a two degree-of-freedom model is developed to study the coupled axial-torsional dynamics of this system. In the model development, state-dependent time delay and nonlinearities that arise due to dry friction and loss of contact are considered. Stability analysis is carried out by using a semi-discretization scheme, and the results are presented in terms of stability volumes in the three-dimensional parameter space of spin speed, cutting depth, and a cutting coefficient. These stability volume plots can serve as a guide for choosing parameters for rotary drilling operations. A control strategy based on state and delayed-state feedback is presented with the goal of enlargening the stability region, and the effectiveness of this strategy to suppress stick-slip oscillations is illustrated.

UR - https://www.scopus.com/pages/publications/84910142050

UR - https://www.scopus.com/pages/publications/84910142050#tab=citedBy

U2 - 10.1007/s11071-014-1567-y

DO - 10.1007/s11071-014-1567-y

M3 - Article

AN - SCOPUS:84910142050

SN - 0924-090X

VL - 78

SP - 1891

EP - 1906

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 3

ER -

Coupled axial-torsional dynamics in rotary drilling with state-dependent delay: stability and control

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this