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

Result code in 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>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Dynamical Model of Interacting Particles for the Construction of Audze–Eglajs Designs in a Periodic Space
Original language description
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
Czech name
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Czech description
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Project
<a href="/en/project/GA16-22230S" target="_blank" >GA16-22230S: Development of advanced sampling methods for statistical analysis of structures</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
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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Number of pages
10
Pages from-to
1374-1383
Publisher name
TU-Verlag Vienna
Place of publication
Vienna
Event location
Vienna
Event date
Aug 6, 2017
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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