Dynamics of nonholonomic systems
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F14%3A00076366" target="_blank" >RIV/00216224:14310/14:00076366 - isvavai.cz</a>
Výsledek na webu
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DOI - Digital Object Identifier
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Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Dynamics of nonholonomic systems
Popis výsledku v původním jazyce
The problem of symmetries and conservation laws is a standard part of calculus of variations in mechanics as well as in the field theory. On the other hand, in theories describing constrained systems, especially non-holonomic ones, this problem is not studied satisfactorily. We study symmetries and corresponding conservation laws in non-holonomic first order mechanics (equations of motion are of the second order). Our considerations are based on the Krupková (Rossi) geometrical theory of non-holonomic mechanical systems on fibred manifolds and their jet prolongations. We show that this approach is extremely effective for studying non-holonomic systems. As a realistic example the problem of Chaplygin sleigh is presented.
Název v anglickém jazyce
Dynamics of nonholonomic systems
Popis výsledku anglicky
The problem of symmetries and conservation laws is a standard part of calculus of variations in mechanics as well as in the field theory. On the other hand, in theories describing constrained systems, especially non-holonomic ones, this problem is not studied satisfactorily. We study symmetries and corresponding conservation laws in non-holonomic first order mechanics (equations of motion are of the second order). Our considerations are based on the Krupková (Rossi) geometrical theory of non-holonomic mechanical systems on fibred manifolds and their jet prolongations. We show that this approach is extremely effective for studying non-holonomic systems. As a realistic example the problem of Chaplygin sleigh is presented.
Klasifikace
Druh
O - Ostatní výsledky
CEP obor
BE - Teoretická fyzika
OECD FORD obor
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Návaznosti výsledku
Projekt
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Návaznosti
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Ostatní
Rok uplatnění
2014
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů