000003944 001__ 3944
000003944 005__ 20141118153341.0
000003944 04107 $$acze
000003944 046__ $$k2009-05-11
000003944 100__ $$aNáprstek, J.
000003944 24500 $$aRandom response of a single system due to combined Gaussian and Poissonian excitation

000003944 24630 $$n15.$$pEngineering Mechanics 2009
000003944 260__ $$bInstitute of Theoretical and Applied Mechanics AS CR, v.v.i., Prague
000003944 506__ $$arestricted
000003944 520__ $$2eng$$aThe 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.

000003944 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000003944 653__ $$a

000003944 7112_ $$aEngineering Mechanics 2009$$cSvratka (CZ)$$d2009-05-11 / 2009-05-14$$gEM2009
000003944 720__ $$aNáprstek, J.$$iKrál, R.
000003944 8560_ $$ffischerc@itam.cas.cz
000003944 8564_ $$s3716265$$uhttps://invenio.itam.cas.cz/record/3944/files/Naprstek-138-PT.pdf$$y
             Original version of the author's contribution as presented on CD, 138.
            
000003944 962__ $$r3852
000003944 980__ $$aPAPER