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Matematične in numerične metode v mehaniki. Del 3Brešar, FranceNalogo sestavljajo štirje prispevki. 1. Napetostno in deformacijsko stanje plošče se v teoriji zmerno debelih plošč izraža s polinomi, katerih koeficienti vsebujejo debelino plošče. V tem prispevku ... analiziramo vpliv teh koeficientov na pomike in napetosti ter ugotavljamo nenatančnost klasične kirchhoffove teorije. 2. Drugi prispevek nas uvaja v teorijo homogenizacije. Najprej spoznamo področja iz mehanike in tehnike, v katerih bi metoda utegnila koristiti, nato ugotovimo, da je osnovna ideja homogenizacijske metode zasnovana na asimptotskih vrstah in končno na primeru za prvod toplote ugotovimo, kaj je bistvo te metode. 3. Tretji prispevek pomeni prvo aplikacijo metode homogenizacije v teoriji elastičnosti. Obogaten je z dodatkom, v katerem spoznamo osnovne pojme o prostorih Soboljeve. To so prostori, v katerih se rešujejo problemi homogenizacije. 4. V prvem delu opišemo nekaj lastnosti končnodimenzionalnih vektorskih prostorov z nedefinitnim skalarnim produktom. Pesebej se posvetimo sami sebi adjungiranim in unitarnim operatorjem v tem skalarnem produktu. V drugem delu navedemo nekaj lastnosti sistemov navadnih diferencialnih enačb prvega reda z nekonstantnimi oziroma periodičnimi koeficienti. V tretjem delu uporabimo spoznanja iz prvih dveh poglavij pri obravnavi stabilnih sistemov kanoničnih diferencialnih enačb.Type of material - research reportPublication and manufacture - Maribor : RSS : Tehniška fakulteta, 1988Language - slovenianCOBISS.SI-ID - 10932485
Author
Brešar, France
Other authors
Kutnjak, Milan |
Lep, Jože |
Kumperščak, Vitodrag |
Petek, Tatjana
Topics
mehanika |
numerične metode |
elastomehanika |
plošče |
funkcionalna analiza |
enoličnost rešitve |
diferencialne enačbe |
matematika |
C1-0506-796-88
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Library/institution |
City | Acronym | For loan | Other holdings |
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Library of Technical Faculties, Maribor | Maribor | KTFMB |
reading room 1 cop.
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DRS, in which the journal is indexed
Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Brešar, France | 03008 |
Kutnjak, Milan | 05562 |
Lep, Jože | 03025 |
Kumperščak, Vitodrag | 03023 |
Petek, Tatjana | 07680 |
Source: Personal bibliographies
and: SICRIS
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