Nonlinearity and Spectrum Analysis of Drill Strings with Component Mass Unbalance

This paper analyses the non linear properties exhibited by a drill string system under various un balanced mass conditions. The drill string is affected by continuous friction in the form of drill bit and well bore hole interactions. This paper proves the origin of limit cycling and increase of non linearity with increase in speed of the drilling in the presence of friction. The spectrum of the frequency response is also studied to detect the presence of vibration abnormalities arising during the drilling process.




References:
[1] El sayed et al. Coupling of longitudinal and torsional vibrations of a drill
string, Dev. \Theory Applied mechanics, 17.
[2] Christoforou.A and Yigit .A.,1997 Dynamic modeling of rotating drill
string with borehole inter\actions, J. sound and vibration, 206
[3] Leine et al. Stick slip whirl interaction in drill string dynamics, ASME J.
of vibration acoustics,124,2002.
[4] N.Mihajlovioc, et al. Friction induced torsional vibrations in an
experimental drill string system,23rd IASTED international conference
on modeling , identification and control,pp.228-233
[5] C.Germay, N. van de wow, H. Nijmeijer, R.Sepulchre, Nonlinear drill
string dynamics analtsis,2009 SIAM J. Applied Dynamical systems, Vol
.8.
[6] H.Melakhessou et al., A nonlinear well drill string interaction model,
J.Vib acoustics (125) 2003
[7] M.W.Dykstra, H.Christensen, T.M.Warren, J.J.Azar, Drill string
component mass imbalance:A majopr source of drill string
vibrations.SPE Drilling and completion Dec 1996.
[8] C.M.Liao et al., Reduced order models of drill string dynamics, Second
international energy conference 2030,U.A.E,2008
[9] S.Gopinath, Study on electric motor mass imbalance based on vibration
monitoring analysis technique, International conference on electrical and
mechanical technology,IEEE,2010.