Probability density determination by means of Gibbs entropy probability density
The result's identifiers
Result code in 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>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Probability density determination by means of Gibbs entropy probability density
Original language description
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
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
20102 - Construction engineering, Municipal and structural engineering
Result continuities
Project
<a href="/en/project/GA19-21817S" target="_blank" >GA19-21817S: Nonholonomic interaction and dynamical stability of aeroelastic systems</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
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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Number of pages
8
Pages from-to
31-38
Publisher name
Institute of Thermomechanics. Academy of Sciences of the Czech Republic, v. v. i.
Place of publication
Prague
Event location
Cracow
Event date
Mar 5, 2019
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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