Dynamics of an MDOF Rotor Stator Contact System

Shaw, Alexander D.; Barton, David A. W.; Champneys, Alan R; Friswell, Michael I.

doi:10.1007/978-3-319-29739-2_37

Cited by 1 publication

(3 citation statements)

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“…The fact that whirling mode speeds are a function of the shaft speed means that certain shafts speeds become particularly susceptible to the onset of these motions. This interpretation can also be shown to be equivalent to a phasor synchronization condition that was discussed in previous works [ 50 , 51 ]. By performing a simple linearized calculation of the dependence of the whirling frequencies on drive speed, we can come up with precise predictions of the drive speeds at which these modes might become excited.…”

Section: Discussionsupporting

confidence: 63%

“…Understanding condition ( 2.8 ) as an internal resonance in the rotating coordinate system is simpler than the derivation of condition ( 2.9 ) in the stationary system, as performed in [ 50 ] or [ 51 ]. There, the argument considered the motion of phasors and the requirement for the phasor for each whirling mode and the applied shaft rotation to all be aligned.…”

Section: Analytical Considerationsmentioning

confidence: 99%

“…This led to an approximate prediction of the drive speeds that could cause this motion. In [ 51 ], the present authors reported a generalization of Zilli’s work to apply to any two modes of a two disc system, with any combination of forward and backward whirling. This showed further forms of asynchronous response, made possible by the increased number of linear whirling modes of the multi disc system.…”

Section: Introductionmentioning

confidence: 99%

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Asynchronous partial contact motion due to internal resonance in multiple degree-of-freedom rotordynamics

2016

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Sudden onset of violent chattering or whirling rotor–stator contact motion in rotational machines can cause significant damage in many industrial applications. It is shown that internal resonance can lead to the onset of bouncing-type partial contact motion away from primary resonances. These partial contact limit cycles can involve any two modes of an arbitrarily high degree-of-freedom system, and can be seen as an extension of a synchronization condition previously reported for a single disc system. The synchronization formula predicts multiple drivespeeds, corresponding to different forms of mode-locked bouncing orbits. These results are backed up by a brute-force bifurcation analysis which reveals numerical existence of the corresponding family of bouncing orbits at supercritical drivespeeds, provided the damping is sufficiently low. The numerics reveal many overlapping families of solutions, which leads to significant multi-stability of the response at given drive speeds. Further, secondary bifurcations can also occur within each family, altering the nature of the response and ultimately leading to chaos. It is illustrated how stiffness and damping of the stator have a large effect on the number and nature of the partial contact solutions, illustrating the extreme sensitivity that would be observed in practice.

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Section: Discussionsupporting

confidence: 63%

Section: Analytical Considerationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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