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
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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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
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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
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UT code for WoS article
000448545700071
EID of the result in the Scopus database
2-s2.0-85055711351