DYNAMICS OF SYSTEMS WITH ONE-SIDED DIFFERENTIAL CONSTRAINTS

T. V. Salnikova; Сальникова Т. В.; E. I. Kugushev; Кугушев Е. И.; A. A. Demidov; Демидов А. А.

doi:10.31857/S2686954323600167

DYNAMICS OF SYSTEMS WITH ONE-SIDED DIFFERENTIAL CONSTRAINTS

Autores: Salnikova T.¹, Kugushev E.¹, Demidov A.¹
Afiliações:
1. Lomonosov Moscow State University
Edição: Volume 514, Nº 1 (2023)
Páginas: 12-19
Seção: МАТЕМАТИКА
URL: https://journals.rcsi.science/2686-9543/article/view/247078
DOI: https://doi.org/10.31857/S2686954323600167
EDN: https://elibrary.ru/ZCARVS
ID: 247078

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Resumo

A dynamical system with constraints in the form of linear differential inequalities is considered. It is proved that in the general case, in the presence of such connections, the motion is shockless. The possibility of realizing such bonds by viscous friction forces is shown. An example of a nonholonomic system is given, for which, using numerical simulation, it is shown how, with an increase in the degree of anisotropy, the transition from a system with anisotropic viscous friction to a system with one-sided differential constraints occurs.

Palavras-chave

nonholonomic systems, one-sided differential constraints, anisotropic viscous friction

Bibliografia

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Kozlov V.V. On the dynamics of systems with one-sided non-integrable constraints, Theor. Appl. Mech. 2019. T. 46. Bып. 1. C. 1–14.
Kozlov V.V. Integral Analogue of the Gauss Principle University of Nis, The scientific journal Facta Universitatis, Series: Mechanics, Automatic Control and Robotics. 2000. V. 2. № 10. P. 1055–1060.
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