S.M.Hudoliy, O.V.Glushakova The Hopf bifurcations in wave models of torsional vibration of composite drill stems |
Acoustic bulletin, Vol. 13 ¹ 2, (2010) |
| Wave model of a torsional vibration of deep drill stems has been developed. The effects of generation of the torsional auto-oscillations have been simulated using the computer. The ranges of rotation angle velocity corresponding to the regimes of stable periodic motions have been determined. The Hopf bifurcations have been shown to occur in the conditions limiting these ranges. The influence of lengths of the sections forming the composite drill stems on the bifurcational values of angular velocities has been analyzed. General laws of occurrence and course of the auto-oscillation processes in composite drill stems have been specified. |
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KEY WORDS: the drill stem, torsional vibration, geometric nonlinearity, stability, the periodic regime, bifurcations |
| TEXT LANGUAGE: Russian |