Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Hidden oscillations in drilling system actuated by induction motor. / Kiseleva, M. A.; Kuznetsov, N. V.; Leonov, G. A.; Neittaanmäki, P.
5th IFAC International Workshop on Periodic Control Systems, PSYCO 2013 - Proceedings. 12 PART 1. ed. International Federation of Automatic Control, 2013. p. 86-89 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 46, No. 12 PART 1).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
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TY - GEN
T1 - Hidden oscillations in drilling system actuated by induction motor
AU - Kiseleva, M. A.
AU - Kuznetsov, N. V.
AU - Leonov, G. A.
AU - Neittaanmäki, P.
N1 - Funding Information: This work was supported by the Academy of Finland, Finnish Doctoral Programme in Computational Sciences (Finland), Russian Ministry of Education and Science, Russian Foundation for Basic Research and Saint-Petersburg State University (Russia).
PY - 2013
Y1 - 2013
N2 - Study of drilling systems is a topical problem in drilling industry due to the amount of failures which lead to considerable cost and time loses for mining companies. This paper presents mathematical model of drilling system actuated by induction motor. The model consists of two discs connected by a no-mass string. The upper disc is actuated by the rotor of the motor and the lower disc is connected with a brake device which causes friction torque. Set-valued force laws are used in order to model the friction. The obtained model is described by system of ordinary differential equations (ODE's) with discontinuous right-hand side. A bifurcation analysis of the model is done. Presence of so-called hidden oscillations (represented by stickslip stable vibrations) along with stable equilibrium is demonstrated. Such system requires accurate numerical modeling in the neighborhood of the discontinuous surface. Here the method of modeling such systems based on Filippov definition of solution for systems of ODE's with discontinuous right-hand side is used for analysis of dynamics of the model.
AB - Study of drilling systems is a topical problem in drilling industry due to the amount of failures which lead to considerable cost and time loses for mining companies. This paper presents mathematical model of drilling system actuated by induction motor. The model consists of two discs connected by a no-mass string. The upper disc is actuated by the rotor of the motor and the lower disc is connected with a brake device which causes friction torque. Set-valued force laws are used in order to model the friction. The obtained model is described by system of ordinary differential equations (ODE's) with discontinuous right-hand side. A bifurcation analysis of the model is done. Presence of so-called hidden oscillations (represented by stickslip stable vibrations) along with stable equilibrium is demonstrated. Such system requires accurate numerical modeling in the neighborhood of the discontinuous surface. Here the method of modeling such systems based on Filippov definition of solution for systems of ODE's with discontinuous right-hand side is used for analysis of dynamics of the model.
KW - Discontinuous systems
KW - Drilling system
KW - Hidden oscillations
KW - Induction motor
KW - Torsional vibrations
UR - http://www.scopus.com/inward/record.url?scp=84886830485&partnerID=8YFLogxK
U2 - 10.3182/20130703-3-FR-4039.00028
DO - 10.3182/20130703-3-FR-4039.00028
M3 - Conference contribution
AN - SCOPUS:84886830485
SN - 9783902823380
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 86
EP - 89
BT - 5th IFAC International Workshop on Periodic Control Systems, PSYCO 2013 - Proceedings
PB - International Federation of Automatic Control
T2 - 5th IFAC International Workshop on Periodic Control Systems, PSYCO 2013
Y2 - 3 July 2013 through 5 July 2013
ER -
ID: 95268852