Browsing by Subject "oscillator"

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Access status: Open Access ,
On statistical parameters characterizing vibrations of oscillators without damping and forced by stochastic impulses
(Wydawnictwa AGH, 2006) Jabłoński, Marian; Ozga, Agnieszka
Our theoretical study aims at finding the statistical parameters characterizing the vibrations of an oscillator wi-thout damping and forced by stochastic impulses magnitude of the different distribution. We will derive the dependence of these parameters on rigidity and mass of the oscillator and on the stochastic distribution of the impulse magnitude. We will also carry out a numerical simulation verifying the derived mathematical model and interpret the differences between the results obtained in simulation and the mathematical calculations. This study is the first stage of research aimed at designing and calibrating a probe that will facilitate measuring of parameters determining the ąuality of a technological process.
Access status: Open Access ,
Probabilistic modeling of mechanical cantilever oscillator fluctuation
(Wydawnictwa AGH, 2023) Kosobutskyy, Petro; Zdobytskyi, Andriy; Marikutsa, Uliana; Melnyk, Mykhaylo; Iwaniec, Marek
The dynamics of oscillations of cantilever-type oscillators have been studied in this work. The probabilistic model of a cantilever is explained. Dependencies for the probability density, mean mathematical expectation, and standard deviation were developed. A fluctuation model of a cantilever was constructed, and the dependencies for the probability density for a direct problem were developed. The modeling of the mathematical expectation and phase variance for the inverse problem was performed.