Random response of a single system due to combined Gaussian and Poissonian excitation

Abstract eng:
The paper makes a sketch of an SDOF system response analysis subjected to a random excitation having a form of the additive Poisson driven independent random impulses. A special generalised Fokker -Planck equation having a form of an integro-differential equation is presented together with boundary and initial conditions. Later the Galerkin-Petrov process as a method of a numerical solution of the respective evolutionary integro-differential equation for the probability density function (PDF) is presented in general. Shape and weighting functions for purposes of a numerical solution procedure are carried out and corresponding algebraic system for PDF values in nodes is deduced. As a demonstration particular SDOF systems are investigated. Resulting PDF are analysed and mutually compared.

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