Uncertainty analysis of rotating systems (original) (raw)
This work proposes an application of uncertainties analysis in a rotating system. As stochastic modelling is not so common in rotordynamics field, it was chosen a simple model, which can qualitatively represent the main behavior of o rotating machinery. Another advantage of this choice is the processing time of model simulation. As Monte Carlo simulation is used for the stochastic model processing, a lower processing time is desirable. The model takes into account a rotor with two flexible bearing and an outboard disc. It is considered as random parameters the shaft elasticity modulus and the disc mass. In order to analyze the stochastic rotating system response, Campbell diagram is accomplished. In that way, it is possible to verify how the natural frequencies vary with the rotating speed. The rotating speed that is coincident to the natural frequency is called critical speed. Random parameters were adopted and a stochastic Campbell diagram were obtained. Consequently, the histograms of the critical speed were also obtained. Besides, a sensitivity analysis was accomplished, considering the influence of the coefficient of variation on the critical speeds. The is noted an important variation on the critical speeds skewness for high coefficient of variation.
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