Proceedings Vol. 15 (2009)
ENGINEERING MECHANICS 2009
May 11 – 14, 2009, Svratka, Czech Republic
Copyright © 2009 Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)
list of papers scientific commitee
pages 899 - 915, full text
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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