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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Use of the Gauss-Ostrogradsky theorem in the mechanics of rigid and flexible bodies and environments
Original language description
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.
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
39th Meeting of Departments of Fluid Mechanics and Thermodynamics
ISBN
978-0-7354-4325-9
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
1-6
Publisher name
AIP Publishing
Place of publication
neuveden
Event location
Horní Bečva
Event date
Oct 13, 2021
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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