Mathematical models of control processes and stability in problems of mechanics

The development of scientific directions of mechanics as a result of research in analytical mechanics, space dynamics and applied mathematics is considered. The basic theorems of analytical dynamics were extended to mechanical systems of variable composition. The abstract concept of a point of varia...

Full description

Saved in:
Bibliographic Details
Published inAIP conference proceedings Vol. 2425; no. 1
Main Authors Kadry, S., Alferov, G., Korolev, V., Shymanchuk, D.
Format Journal Article Conference Proceeding
LanguageEnglish
Published Melville American Institute of Physics 06.04.2022
Subjects
Applications of mathematics
Composition
Mechanical systems
Mechanics
Mechanics (physics)
Online AccessGet full text

Cover

More Information
Summary:The development of scientific directions of mechanics as a result of research in analytical mechanics, space dynamics and applied mathematics is considered. The basic theorems of analytical dynamics were extended to mechanical systems of variable composition. The abstract concept of a point of variable mass is introduced in the form of a small area of space, endowed with mass, associated with the main body. The subject of consideration is a system of particles with constant masses, the composition of which varies. This allows one to take into account the change in mass and the internal movement of particles, leading to the creation of reactive forces.
Bibliography:ObjectType-Conference Proceeding-1
SourceType-Conference Papers & Proceedings-1
content type line 21
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0085613