TY - JOUR

T1 - Mathematical Models of Control Processes and Stability In Problems of Mechanics

AU - Kadry, Seifedine

AU - Alferov, G.

AU - Korolev, V.

AU - Shymanchuk, D.

N1 - Conference code: 18th

PY - 2022/4/6

Y1 - 2022/4/6

N2 - 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.

AB - 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.

KW - Analytical mechanics

KW - Biomechanics

KW - Robotics

KW - Space dynamics

UR - https://aip.scitation.org/doi/abs/10.1063/5.0085613

UR - http://www.scopus.com/inward/record.url?scp=85128506352&partnerID=8YFLogxK

U2 - 10.1063/5.0085613

DO - 10.1063/5.0085613

M3 - Conference article

VL - 2425

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

SN - 0094-243X

M1 - 080004

Y2 - 17 September 2020 through 23 September 2020

ER -