Use of the Gauss-Ostrogradsky theorem in the mechanics of rigid and flexible bodies and environments

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F23%3APU147801" target="_blank" >RIV/00216305:26210/23:PU147801 - isvavai.cz</a>

Výsledek na webu

<a href="https://aip.scitation.org/doi/pdf/10.1063/5.0133903" target="_blank" >https://aip.scitation.org/doi/pdf/10.1063/5.0133903</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/5.0133903" target="_blank" >10.1063/5.0133903</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Use of the Gauss-Ostrogradsky theorem in the mechanics of rigid and flexible bodies and environments

Popis výsledku v původním jazyce

New relations for the calculation of static moments and moments of inertia used in the mechanics of rigid bodies are presented in the work. Using the Gauss-Ostrogradsky theorem, it is possible to determine these values not by the integration over a volume, but over the surface of a body. This is especially advantageous in numerical methods. The next part of the work is focused on the Gauss-Ostrogradsky theorem use in the dynamics of fluids, elastic bodies and magnetic fields. Non-stationary terms, such as local acceleration or time change of magnetic induction, are expressed by presented mathematical model so that their effects in the field V can be expressed by their acting equivalent interpreted over the surface S surrounding the surface of the body. Presented article also points to the possibility of using the Gauss-Ostrogradsky theorem in the interaction of bodies with a fluid, such as bodies with cavities filled with a fluid, that can be produced thanks to the use of modern 3D printing technologies. The article brings the presentation of new mathematical models, including their proofs.

Název v anglickém jazyce

Use of the Gauss-Ostrogradsky theorem in the mechanics of rigid and flexible bodies and environments

Popis výsledku anglicky

New relations for the calculation of static moments and moments of inertia used in the mechanics of rigid bodies are presented in the work. Using the Gauss-Ostrogradsky theorem, it is possible to determine these values not by the integration over a volume, but over the surface of a body. This is especially advantageous in numerical methods. The next part of the work is focused on the Gauss-Ostrogradsky theorem use in the dynamics of fluids, elastic bodies and magnetic fields. Non-stationary terms, such as local acceleration or time change of magnetic induction, are expressed by presented mathematical model so that their effects in the field V can be expressed by their acting equivalent interpreted over the surface S surrounding the surface of the body. Presented article also points to the possibility of using the Gauss-Ostrogradsky theorem in the interaction of bodies with a fluid, such as bodies with cavities filled with a fluid, that can be produced thanks to the use of modern 3D printing technologies. The article brings the presentation of new mathematical models, including their proofs.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

20302 - Applied mechanics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

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

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název statě ve sborníku

39th Meeting of Departments of Fluid Mechanics and Thermodynamics

ISBN

978-0-7354-4325-9

ISSN

—

e-ISSN

—

Počet stran výsledku

6

Strana od-do

1-6

Název nakladatele

AIP Publishing

Místo vydání

neuveden

Místo konání akce

Horní Bečva

Datum konání akce

13. 10. 2021

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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