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

M. Jabłoński, A. Ozga, T. Korbiel, P. Pawlik
2011 Acta Physica Polonica. A  
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
more » ... iables ηi whenever the course of the oscillator is known in a sufficiently large interval of time. These equations will be verified in the experiment executed on an electric oscillator RLC of high frequency.
doi:10.12693/aphyspola.119.977 fatcat:ea34pfuyxfeidfakt3xwtqllum