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ISSN 0474-8662. Information Extraction and Processing. 2021. Issue 49 (125)
Stochastic model of the gearbox pair vibration
Javorskyj I.M.
Karpenko Physico-Mechanical Institute of the NAS of Ukraine, Lviv
Bydgoszcz University of Sciences and Technology, Bydgoszcz, Poland
Yuzefovych R.M.
Karpenko Physico-Mechanical Institute of the NAS of Ukraine, Lviv
Lviv Polytechnic National University, Lviv
Lychak O.V.
Karpenko Physico-Mechanical Institute of the NAS of Ukraine, Lviv
Trokhym G.R.
Karpenko Physico-Mechanical Institute of the NAS of Ukraine, Lviv
Varyvoda M.Z.
Karpenko Physico-Mechanical Institute of the NAS of Ukraine, Lviv
https://doi.org/10.15407/vidbir2021.49.026
Keywords: periodically correlated random process, vibration, gearbox pair, hidden periodicities.
Cite as: Javorskyj I.M., Yuzefovych R.M., Lychak O.V., Trokhym G.R., Varyvoda M.Z.
Stochastic model of the gearbox pair vibration. Information Extraction and Processing. 2021, 49(125), 26-31. DOI:https://doi.org/10.15407/vidbir2021.49.026
Abstract
The model of vibration signal of gearbox pair in the form of periodically correlated non-stationary random process is considered. It is shown that hidden periodicities in biperiodic correlated random process mean and covariance function, characterizing the vibrations of gearbox pair can be detected using the component and least square methods. Seven particular cases of the bi-rhythmic hidden periodicity for different modulation modes are analyzed.
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