Archives of Acoustics, 31, 4(S), pp. 65-73, 2006

On statistical parameters characterizing vibrations of damped oscillator forced by stochastic impulses

M. Jabłoński
Jagiellonian University, Faculty of Methematics and Computer Science, Institute of Computer Science, Gołębia 24, 31-007 Kraków
Poland

A. Ozga
AGH University of Science and Technology, Faculty of Mechanical Engineering and Robotics, Department of Mechanics and Vibroacoustics, Al. Mickiewicza 30, 30-059 Kraków
Poland

Our theoretical study aims at finding some statistic parameters characterizing the vibrations
of an oscillator with damping and forced by stochastic impulses. 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 a probe that will facilitate measuring
parameters determining the quality of a technological process.
Keywords: oscillator, stochastic impulses, stochastic process, expectation, variance.
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