Numerical solution of modified fokker-planck equation with poissonian input

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378297%3A_____%2F10%3A00370437" target="_blank" >RIV/68378297:_____/10:00370437 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Numerical solution of modified fokker-planck equation with poissonian input

Popis výsledku v původním jazyce

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 spacial generalised Fokker-Planck equation having a form of an integro-differentialequation 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 is presented in general. Various analytic and semi-analytic solution methods have been developed for various systems to obtain results requested. However numerical approaches offer a powerful alternative. In particular the Finite Element Method (FEM) seems to be very effective. Shape and weighting functions for purposes of a numerical solution procedure are carried out and corresponding ordinary differential system for PDF values in nodes is deduced.

Název v anglickém jazyce

Numerical solution of modified fokker-planck equation with poissonian input

Popis výsledku anglicky

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 spacial generalised Fokker-Planck equation having a form of an integro-differentialequation 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 is presented in general. Various analytic and semi-analytic solution methods have been developed for various systems to obtain results requested. However numerical approaches offer a powerful alternative. In particular the Finite Element Method (FEM) seems to be very effective. Shape and weighting functions for purposes of a numerical solution procedure are carried out and corresponding ordinary differential system for PDF values in nodes is deduced.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

JN - Stavebnictví

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2010

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Engineering Mechanics

ISSN

1802-1484

e-ISSN

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Svazek periodika

17

Číslo periodika v rámci svazku

3/4

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

18

Strana od-do

251-268

Kód UT WoS článku

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EID výsledku v databázi Scopus

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