Technical Diagnostics and Non-Destructive Testing, 2023, №02

2023 №02 (01)

DOI of Article 10.37434/tdnk2023.02.02

2023 №02 (03)

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"Tekhnichna Diahnostyka ta Neruinivnyi Kontrol" (Technical Diagnostics and Non-Destructive Testing) #2, 2023, pp. 17-21

Selection and analysis of the deterministic component of vibrations by the least squares method

R.M. Yuzefovych², I.M. Javorskyj³, O.V. Lychak¹, V.V. Gnatyshyn², M.Z. Varyvoda¹

¹G.V. Karpenko Physico-Mechanical Institute of NASU. 5 Naukova str., 79060, Lviv, Ukraine. Е-mail: roman.yuzefovych@gmail.com
²Lviv Polytechnic National University. 12 S. Bandery str., 79000, Lviv, Ukraine.
³Bydgoszcz University of Sciences and Technology. 7, Prof. S. Kaliskiego al., 85796, Bydgoszcz, Poland.

The results of investigations by the least squares method of the mathematical expectation of periodically nonstationary random processes as a mathematical model of stochastic vibrations are considered. Analysis of the dependencies which determine the statistical characteristics of evaluation was performed. Examples of analysis of typical processes are given. 20 Ref., 2 Fig.
Keywords: periodically correlated random processes (PCRP), vibration, mathematical expectation, correlation function, evaluation by the least squares method, dispersion

Received: 28.04.2023

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