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Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, Issue 2, Pages 106–113 (Mi vuu326)  

This article is cited in 2 scientific papers (total in 2 papers)

MECHANICS

On the application of random searching for the hard particles packing problem for composite solid propellant structure modeling

A. A. Bolkisev

Institute of Mechanics, Ural Branch of the Russian Academy of Sciences, Izhevsk, Russia

Abstract: The paper presents a problem statement for random hard particles packing as minimization of an objective function that is the measure of overlapping of $\mathbb R^3$ subdomains representing particles and forbidden zones, with desired pack characteristics being accounted for by an additional summand in the objective function. A new algorithm based on the random search approach is proposed; it assesses a new particles configuration after each movement, and particles grow from an initial to full size as overlaps being removed. This algorithm is matched with the viscous suspension algorithm for the case of packing equal-sized spheres in a periodic cube. For packing fractions $\varphi<0,55$ the random search algorithm yields packs with fewer and smaller particle clusters than the viscous suspension one, in denser packs differences are insignificant. An example of creating a pack with the feature that particles are shifted closely to the solid boundary is shown as well.

Keywords: hard spheres, hard particles, packing, random searching, composite solid propellant structure.

Full text: PDF file (180 kB)
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UDC: 519.688
MSC: 49K45, 05B40
Received: 16.03.2012

Citation: A. A. Bolkisev, “On the application of random searching for the hard particles packing problem for composite solid propellant structure modeling”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, no. 2, 106–113

Citation in format AMSBIB
\Bibitem{Bol12}
\by A.~A.~Bolkisev
\paper On the application of random searching for the hard particles packing problem for composite solid propellant structure modeling
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2012
\issue 2
\pages 106--113
\mathnet{http://mi.mathnet.ru/vuu326}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Lipanov A.M., Bolkisev A.A., “O raschete temperaturnogo polya v zaryade smesevogo tverdogo topliva s uchetom geterogennosti ego teplofizicheskikh svoistv”, Khimicheskaya fizika i mezoskopiya, 14:3 (2012), 364–370  elib
    2. A. A. Bolkisev, “Raschet inertnogo progreva STT s uchetom opticheskikh svoistv ego komponentov”, KhFM, 17:1 (2015), 51–54  mathnet
  • Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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