Probability density determination by means of Gibbs entropy probability density

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378297%3A_____%2F19%3A00502492" target="_blank" >RIV/68378297:_____/19:00502492 - 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

Probability density determination by means of Gibbs entropy probability density

Popis výsledku v původním jazyce

A method of random response investigation of a nonlinear dynam-ical system is discussed. In particular, the solution of the probability density of a single/multi-degree of freedom (SDOF/MDOF) system response is investigated. Multiple stable equilibrium states with possible jumps of the snap-through type among them are considered. The system is Hamiltonian with weak damping excited by a set of non-stationary Gaussian white noises. The solution, which is based on the Gibbs principle of the maximum entropy of probability, can be employed in various branches of engineering. The search for the extreme of the Gibbs entropy functional is formulated as a constrained optimization problem. The secondary constraints follow from the Fokker-Planck equation (FPE) for the system considered or from the system of ordinary di_erential equations for the stochastic moments of the response derived from the relevant FPE

Název v anglickém jazyce

Probability density determination by means of Gibbs entropy probability density

Popis výsledku anglicky

A method of random response investigation of a nonlinear dynam-ical system is discussed. In particular, the solution of the probability density of a single/multi-degree of freedom (SDOF/MDOF) system response is investigated. Multiple stable equilibrium states with possible jumps of the snap-through type among them are considered. The system is Hamiltonian with weak damping excited by a set of non-stationary Gaussian white noises. The solution, which is based on the Gibbs principle of the maximum entropy of probability, can be employed in various branches of engineering. The search for the extreme of the Gibbs entropy functional is formulated as a constrained optimization problem. The secondary constraints follow from the Fokker-Planck equation (FPE) for the system considered or from the system of ordinary di_erential equations for the stochastic moments of the response derived from the relevant FPE

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

20102 - Construction engineering, Municipal and structural engineering

Projekt

<a href="/cs/project/GA19-21817S" target="_blank" >GA19-21817S: Neholonomní interakce a dynamická stabilita aeroelastických soustav</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název statě ve sborníku

The international colloquium Dynamics of machines and mechanical systems with interactions. DYMAMESI 2019 Proceedings

ISBN

978-80-87012-70-3

ISSN

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e-ISSN

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Počet stran výsledku

8

Strana od-do

31-38

Název nakladatele

Institute of Thermomechanics. Academy of Sciences of the Czech Republic, v. v. i.

Místo vydání

Prague

Místo konání akce

Cracow

Datum konání akce

5. 3. 2019

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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