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Information × Registration Number 0225U000417, (0122U002138) , R & D reports Title Development of methods for correlation analysis of the polyrhythmic structure of vibration signals to increase the efficiency of diagnostics of the elements of the components of mechanisms with different speeds. popup.stage_title Розроблення методів кореляційного аналізу поліритмічної структури вібраційних сигналів для підвищення ефективності діагностики елементів вузлів механізмів з різними швидкостями обертання. Head Yavorskyj Ihor M., д.ф.-м.н. Registration Date 11-01-2025 Organization Physico-Mechanical Institute named after GV Karpenko of the National Academy of Sciences of Ukraine popup.description1 The aim is to develop methods for analyzing vibrations generated by the interaction of defective elements of mechanisms with different speeds based on their mathematical models in the form of poly-periodic nonstationary random processes, development of methods for separating deterministic and stochastic oscillations and determining their parameters based on experimental data. creation of appropriate information technologies and testing them using simulation and field data when performing diagnostic work at Ukrainian enterprises. popup.description2  Aim of this research work is establishing the features of the spectral and correlation structure of stochastic modulations, which are related on damage of elements of the rotating assemblies, based on the representation of a periodically non-stationary vibration signal in the form of a superposition of amplitude- and phase- stochastically modulated harmonic oscillations. In the first chapter the mathematical models of vibrations in the form of poly-periodically non-stationary random processes (PPNRP) are analyzed and their correlation properties are considered. In the second chapter, the properties of the estimates of the period of the mathematical expectation function and the covariation function of the PPNRP, which are obtained using the method of least squares, are analyzed. Formulas for the bias and variation for their continuous and discrete estimates are obtained. In the third chapter, the least squares method is applied to estimate of the basic frequencies of the additive components of polyrhythmic oscillations. Expressions for the bias and variation of the estimates of the basic frequencies of the mathematical expectation function and the correlation function in the first approximation are obtained. The developed method of basic frequencies estimating was verified using simulation time series. In the fourth chapter the developed multichannel vibration diagnostic system Vibrotechnika 9.22 was described. In the fifth chapter, the vibration analysis of an electric motor with an unbalanced rotor is carried out. The bi-rhythmic structure of vibrations of a rolling bearing with a defect on the inner ring is analyzed. In the sixth chapter, the residual magnetization of steel samples depending on the number of magnetization cycles is investigated. A device, created for diagnostics and analysis by the parameters of the magnetic hysteresis loop using an overlay sensor is described. In the conclusions the main results obtained during the research are presented. Product Description popup.authors Aleshсhenko Oleksii H. Kyrychenko Iryna I. Lychak Oleh V. Luferchyk Pavlo P. Matsko Ivan Yo. Sliepko Roman T. Stetsko Ihor H. Stetsko Iryna Ya. Trokhym Heorhii R. Uchanin Valentyn М. Cherchyk Henadii T. Yuzefovych Roman М. Yavorskyi Ihor M. popup.nrat_date 2025-01-11 Close
R & D report
Head: Yavorskyj Ihor M.. Development of methods for correlation analysis of the polyrhythmic structure of vibration signals to increase the efficiency of diagnostics of the elements of the components of mechanisms with different speeds.. (popup.stage: Розроблення методів кореляційного аналізу поліритмічної структури вібраційних сигналів для підвищення ефективності діагностики елементів вузлів механізмів з різними швидкостями обертання.). Physico-Mechanical Institute named after GV Karpenko of the National Academy of Sciences of Ukraine. № 0225U000417
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Updated: 2026-03-16