Stochastic Dynamic Model of the Vibration Signals of Rolling Bearing and their Analysis
| Autor: | I. M. Yavors’kyi, Zbigniew Zakrzewski, Roman Yuzefovych, I. I. Mats’ko |
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| Rok vydání: | 2014 |
| Předmět: |
Materials science
Bearing (mechanical) Basis (linear algebra) Stochastic process Differential equation Mechanical Engineering Mathematical analysis Condensed Matter Physics law.invention Vibration Nonlinear system Correlation function Mechanics of Materials Control theory law General Materials Science Fourier series |
| Zdroj: | Materials Science. 49:549-559 |
| ISSN: | 1573-885X 1068-820X |
| DOI: | 10.1007/s11003-014-9648-0 |
| Popis: | On the basis of a stochastic dynamical model of a rolling bearing, presented in the form of a system of two nonlinear second-order differential equations, we carry out computer simulation and investigate the vertical and horizontal components of vibration. Using the methods of the statistics of periodically correlated random processes, we show that, in the case of damage appearing on the outer or inner races, vibrations acquire the properties of periodic nonstationarity. We also analyze the time variability of the estimates of expectation, describing the determinate components of vibrations, and the estimates of variances, determining the power of fluctuations. We present the dependences of correlation components, i.e., the Fourier coefficients of correlation functions on time shift. Finally, we substantiate the specific features of the structure of a periodically correlated random process, describing vertical and horizontal vibrations in the presence of defects on the outer and inner races of a rolling bearing. |
| Databáze: | OpenAIRE |
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