Detail publikace
Use of the Gauss-Ostrogradsky theorem in the mechanics of rigid and flexible bodies and environments
POCHYLÝ, F. FIALOVÁ, S.
Anglický název
Use of the Gauss-Ostrogradsky theorem in the mechanics of rigid and flexible bodies and environments
Typ
článek ve sborníku ve WoS nebo Scopus
Jazyk
en
Originální abstrakt
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.
Anglický abstrakt
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.
Klíčová slova anglicky
Gauss-Ostrogradsky theorem
Vydáno
14.02.2023
Nakladatel
AIP Publishing
ISBN
978-0-7354-4325-9
Kniha
39th Meeting of Departments of Fluid Mechanics and Thermodynamics
Číslo edice
2672, 020016 (2023)
Strany od–do
1–6
Počet stran
6
BIBTEX
@inproceedings{BUT182994,
author="Edita {Mariánková} and František {Pochylý} and Simona {Fialová},
title="Use of the Gauss-Ostrogradsky theorem in the mechanics of rigid and flexible bodies and environments",
booktitle="39th Meeting of Departments of Fluid Mechanics and Thermodynamics",
year="2023",
month="February",
pages="1--6",
publisher="AIP Publishing",
isbn="978-0-7354-4325-9"
}