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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

  • DOI - Digital Object Identifier

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

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • 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

  • e-ISSN

  • 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