Geometric concept of isokinetic constraint for a system of particles

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F13%3AA14018VV" target="_blank" >RIV/61988987:17310/13:A14018VV - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989100:27600/13:86088325

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Geometric concept of isokinetic constraint for a system of particles

Popis výsledku v původním jazyce

The paper deals with the geometric concept of mechanical systems of N particles. The systems are modelled on the Cartesian product Rx X^N and its first jet prolongation J^1(Rx X^N)=Rx TX^N, where X is a 3-dimensional Riemannian manifold with a metric G.The kinetic energy T of the system of N-particles is interpreted by means of the weighted quadratic form Q_G associated with the weighted metric tensor G which arises from the original metric tensor G and the system of N particles m_1,...,m_N . A requirement for the kinetic energy of the system of N particles to be constant is regarded as a nonholonomic, so-called isokinetic constraint and it is defined as a fibered submanifold T of the jet space Rx TX^N endowed with a certain distribution C called canonical distribution, which has the meaning of generalized admissible displacements of the system of particles subject to the isokinetic constraint. Vector generators of the canonical distribution are found.

Název v anglickém jazyce

Geometric concept of isokinetic constraint for a system of particles

Popis výsledku anglicky

The paper deals with the geometric concept of mechanical systems of N particles. The systems are modelled on the Cartesian product Rx X^N and its first jet prolongation J^1(Rx X^N)=Rx TX^N, where X is a 3-dimensional Riemannian manifold with a metric G.The kinetic energy T of the system of N-particles is interpreted by means of the weighted quadratic form Q_G associated with the weighted metric tensor G which arises from the original metric tensor G and the system of N particles m_1,...,m_N . A requirement for the kinetic energy of the system of N particles to be constant is regarded as a nonholonomic, so-called isokinetic constraint and it is defined as a fibered submanifold T of the jet space Rx TX^N endowed with a certain distribution C called canonical distribution, which has the meaning of generalized admissible displacements of the system of particles subject to the isokinetic constraint. Vector generators of the canonical distribution are found.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Rok uplatnění

2013

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Miskolc Mathematical Notes

ISSN

1787-2405

e-ISSN

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Svazek periodika

14

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

HU - Maďarsko

Počet stran výsledku

8

Strana od-do

697-704

Kód UT WoS článku

000329498700033

EID výsledku v databázi Scopus

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