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Determining the Distribution of Stochastic Impulses Acting on a High Frequency System through an Analysis of Its Vibrations

2011
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Acta Physica Polonica. A
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The motion of an oscillator with damping excited by impulses has the form , where ξ t is the deviation of the oscillator from its balanced position and t i is the time of action of an impulse of the value η i . Under appropriate assumptions regarding random variables {t i+1 − t i } ∞ i=1 and {η i } ∞ i=1 ξ t is a process which, in the limit as t tends to infinity, is stationary and ergodic. This fact allows us to derive a linear system of equations determining the approximate distribution of

doi:10.12693/aphyspola.119.977
fatcat:ea34pfuyxfeidfakt3xwtqllum