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Mathematical Models of Control Processes and Stability In Problems of Mechanics

  • S. Kadry
  • , G. Alferov
  • , V. Korolev
  • , D. Shymanchuk
  • Beirut Arab University
  • St. Petersburg State University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

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.

Original languageEnglish
Title of host publicationInternational Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2020
EditorsT.E. Simos, T.E. Simos, T.E. Simos, T.E. Simos, Ch. Tsitouras
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735441828
DOIs
StatePublished - 6 Apr 2022
Externally publishedYes
EventInternational Conference on Numerical Analysis and Applied Mathematics 2020, ICNAAM 2020 - Rhodes, Greece
Duration: 17 Sep 2020 → 23 Sep 2020

Publication series

NameAIP Conference Proceedings
Volume2425
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics 2020, ICNAAM 2020
Country/TerritoryGreece
CityRhodes
Period17/09/20 → 23/09/20

Keywords

  • Analytical mechanics
  • Biomechanics
  • Robotics
  • Space dynamics

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