Publikacje

Abstract:

Abstract. The problems of mathematical modelling of vibration signal for bearings with specific geometrical structure or defect is important
insofar as there are no model bearings (to facilitate carrying out a calibration procedure for industrial measurement systems). It is even more so
that there are no precise reference systems to which we would compare the results. This article presents a general outline of the most important
studies on modelling of vibrations in rolling bearings. Papers constituting the basis for the most recent studies and a review of articles from
the past few years have been considered here. Five different models have been analyzed in detail in order to show the directions of the latest
studies. Completed analysis presents different viewpoints on the issue of modelling a rolling bearing operation. This overview article makes
it possible to derive the final conclusion that in order to include all factors affecting bearing vibrations, even those ignored in the most recent
models, it is necessary to carry out practical statistical research including the principles of multicriteria statistics. This approach will facilitate
developing a versatile model, also applicable to predicting vibrations of a new bearing just manufactured in a factory.

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The problems of mathematical modelling of rolling bearing vibrations