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The problems of mathematical modelling of rolling bearing vibrations

Wrzochal M., Adamczak S.

Bulletin of the Polish Academy of Sciences. Technical Sciences

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2020

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Vol. 68, nr 6

1363--1372

EN

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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Badania porównawcze wybranych systemów pomiarowych drgań łożysk tocznych

Adamczak S., Wrzochal M.

Mechanik

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2018

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R. 91, nr 7

498--500

PL

Producenci łożysk tocznych mają własne systemy kontroli drgań łożysk, składające się z kilku kluczowych podzespołów. Chociaż zasada działania tych systemów jest taka sama, różnią się one od siebie niektórymi rozwiązaniami konstrukcyjnymi, z kolei rodzaj zastosowanej konstrukcji ma wpływ na dokładność pomiaru drgań łożyska tocznego.

EN

Roller bearing manufacturers have individual bearing vibration monitoring systems, consisting of several key components. Despite the fact that the principle of operation of these systems is the same, they differ from each other with some constructional solutions, whereas the type of construction used has an impact on the accuracy of measuring vibrations of a rolling bearing.

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Metody pomiaru drgań łożysk tocznych

Adamczak S., Wrzochal M., Zmarzły P.

Mechanik

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2017

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R. 90, nr 8-9

734--736

PL

Metody pomiaru drgań, stosowane na każdym etapie żywotności łożysk tocznych, można sklasyfikować według trzech kryteriów. Analiza tych metod pozwala na lepsze zrozumienie nie tylko problematyki łożysk tocznych, lecz także zagadnień związanych z miernictwem dynamicznym.

EN

There are three criteria the vibration measurement methods as applied at each stage of the rolling-element bearing life period could be classified to. Analysis of these methods is suggested for better understanding of the rolling bearing operating problems and of the issues related to dynamic measurements.