Detail publikace

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

POCHYLÝ, F. FIALOVÁ, S.

Originální 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

angličtina

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.

Klíčová slova

Gauss-Ostrogradsky theorem

Autoři

POCHYLÝ, F.; FIALOVÁ, S.

Vydáno

14. 2. 2023

Nakladatel

AIP Publishing

ISBN

978-0-7354-4325-9

Kniha

39th Meeting of Departments of Fluid Mechanics and Thermodynamics

Edice

AIP Conference Proceedings

Číslo edice

2672, 020016 (2023)

Strany od

1

Strany do

6

Strany počet

6

URL

https://aip.scitation.org/doi/pdf/10.1063/5.0133903

BibTex

@inproceedings{BUT182994,
  author="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",
  series="AIP Conference Proceedings",
  number="2672, 020016 (2023)",
  pages="1--6",
  publisher="AIP Publishing",
  doi="10.1063/5.0133903",
  isbn="978-0-7354-4325-9",
  url="https://aip.scitation.org/doi/pdf/10.1063/5.0133903"
}