Dynamical Model of Interacting Particles for the Construction of Audze–Eglajs Designs in a Periodic Space

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F17%3APU126790" target="_blank" >RIV/00216305:26110/17:PU126790 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Dynamical Model of Interacting Particles for the Construction of Audze–Eglajs Designs in a Periodic Space

Popis výsledku v původním jazyce

The paper presents a dynamical model of mutually interacting particles in a periodic space designed to provide optimal sets of points for numerical integration. The obtained set of points is applied to Monte Carlo type integration in statistical analyses of computer models. The dynamical model mimics the behavior of charged particles with repulsive forces that are based on a selected formulation of potential. When the kinetic energy of the damped particle system approaches zero, the potential energy is reaches a local minimum. The domain within which the particles are to be distributed is a unit hypercube of a dimension equal to the number of basic variables for Monte Carlo integration. It is shown to be necessary for the design domain to be periodically repeated in order to obtain statistically uniform coverage by the points. The gained coordinates of the points in the unit hypercube are then transformed into the real space of variables in the analyzed model and used as integration points (realizations of random variables). The quality or optimality of the resulting design is dependent on the distance-based constitutive law that is derived from the assumed potential

Název v anglickém jazyce

Dynamical Model of Interacting Particles for the Construction of Audze–Eglajs Designs in a Periodic Space

Popis výsledku anglicky

The paper presents a dynamical model of mutually interacting particles in a periodic space designed to provide optimal sets of points for numerical integration. The obtained set of points is applied to Monte Carlo type integration in statistical analyses of computer models. The dynamical model mimics the behavior of charged particles with repulsive forces that are based on a selected formulation of potential. When the kinetic energy of the damped particle system approaches zero, the potential energy is reaches a local minimum. The domain within which the particles are to be distributed is a unit hypercube of a dimension equal to the number of basic variables for Monte Carlo integration. It is shown to be necessary for the design domain to be periodically repeated in order to obtain statistically uniform coverage by the points. The gained coordinates of the points in the unit hypercube are then transformed into the real space of variables in the analyzed model and used as integration points (realizations of random variables). The quality or optimality of the resulting design is dependent on the distance-based constitutive law that is derived from the assumed potential

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

20101 - Civil engineering

Projekt

<a href="/cs/project/GA16-22230S" target="_blank" >GA16-22230S: Rozvoj pokročilých simulačních metod pro statistickou analýzu konstrukcí</a><br>

Návaznosti

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

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings of 12th Int. Conf. on Structural Safety and Reliability

ISBN

978-3-903024-28-1

ISSN

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e-ISSN

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Počet stran výsledku

10

Strana od-do

1374-1383

Název nakladatele

TU-Verlag Vienna

Místo vydání

Vienna

Místo konání akce

Vienna

Datum konání akce

6. 8. 2017

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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