Název: Probability density determination by means of Gibbs entropy probability density
Autoři: Náprstek, Jiří ; Fischer, Cyril
Typ dokumentu: Příspěvky z konference
Konference/Akce: DYMAMESI 2019 - Dynamics of Machines and Mechanical Systems with Interactions, Cracow (PL), 20190305
Rok: 2019
Jazyk: eng
Abstrakt: 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
Klíčová slova: Fokker-Planck equation; Gibbs entropy functional; maximum entropy; probability density principle
Číslo projektu: GA19-21817S (CEP)
Poskytovatel projektu: GA ČR
Zdrojový dokument: The international colloquium Dynamics of machines and mechanical systems with interactions. DYMAMESI 2019 Proceedings, ISBN 978-80-87012-70-3

Instituce: Ústav teoretické a aplikované mechaniky AV ČR (web)
Informace o dostupnosti dokumentu: Dokument je dostupný v příslušném ústavu Akademie věd ČR.
Původní záznam: http://hdl.handle.net/11104/0294422

Trvalý odkaz NUŠL: http://www.nusl.cz/ntk/nusl-394143


Záznam je zařazen do těchto sbírek:
Věda a výzkum > AV ČR > Ústav teoretické a aplikované mechaniky
Konferenční materiály > Příspěvky z konference