All

What are you looking for?

All
Projects
Results
Organizations

Quick search

  • Projects supported by TA ČR
  • Excellent projects
  • Projects with the highest public support
  • Current projects

Smart search

  • That is how I find a specific +word
  • That is how I leave the -word out of the results
  • “That is how I can find the whole phrase”

Maximum entropy probability density principle in probabilistic investigations of dynamic systems

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378297%3A_____%2F18%3A00494588" target="_blank" >RIV/68378297:_____/18:00494588 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.3390/e20100790" target="_blank" >https://doi.org/10.3390/e20100790</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.3390/e20100790" target="_blank" >10.3390/e20100790</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Maximum entropy probability density principle in probabilistic investigations of dynamic systems

  • Original language description

    In this study, we consider a method for investigating the stochastic response of a nonlinear dynamical system affected by a random seismic process. We present the solution of the probability density of a single/multiple-degree of freedom (SDOF/MDOF) system with several statically stable equilibrium states and with possible jumps of the snap-through type. The system is a Hamiltonian system with weak damping excited by a system of non-stationary Gaussian white noise. The solution based on the Gibbs principle of the maximum entropy of probability could potentially be implemented 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 differential equations for the stochastic moments of the response derived from the relevant FPE. In terms of the application type, this strategy is most suitable for SDOF/MDOF systems containing polynomial type nonlinearities. Thus, the solution links up with the customary formulation of the finite elements discretization for strongly nonlinear continuous systems.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    20102 - Construction engineering, Municipal and structural engineering

Result continuities

  • Project

    <a href="/en/project/GC17-26353J" target="_blank" >GC17-26353J: Theoretical predictive models of interaction between varying and moving loads and bridges for structural health monitoring</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Entropy

  • ISSN

    1099-4300

  • e-ISSN

  • Volume of the periodical

    20

  • Issue of the periodical within the volume

    10

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    23

  • Pages from-to

  • UT code for WoS article

    000448545700071

  • EID of the result in the Scopus database

    2-s2.0-85055711351