THE STABILITY INVESTIGATION OF VIBRATIONS OF FLEXIBLY SUPPORTED RIGID ROTORS DAMPED BY HYBRID MAGNETORHEOLOGICAL DAMPING ELEMENTS

Abstract eng:
A usual technological solution how to reduce the time varying forces transmitted between the rotor and its casing consists in application of a flexible suspension and in adding the damping devices to the constraint elements. To achieve their optimum performance their damping effect must be controllable. For this purpose a concept of a hybrid damping device working on the principle of squeezing the layers of normal and magnetorheological oils have been developed. Here in this paper, there is investigated influence of the proposed damping element on stability of the rotor vibrations induced by its imbalance during the steady state operating regimes. The stability is evaluated by two approaches: by utilization of a transition matrix and the Floquet theorem and by the evolutive method. The former determines the stability by means of magnitude of the largest eigenvalue of the transition matrix set up over the span of time of one period, the later by time evaluation of eigenvalues of the system linearized in a small neighbourhood of the steady state phase trajectory of the rotor during one period and calculation of the corresponding damping ratio or logarithmic decrement.

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