Email this article
Archives of Acoustics,
31, 4(S), pp. 65-73, 2006
On statistical parameters characterizing vibrations of damped oscillator forced by stochastic impulses
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.
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.
Full Text:
PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).