Nonholonomic mechanics: A practical application of the geometrical theory on fibred manifolds to a planimeter motion

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F13%3A00066074" target="_blank" >RIV/00216224:14310/13:00066074 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.ijnonlinmec.2012.11.003" target="_blank" >http://dx.doi.org/10.1016/j.ijnonlinmec.2012.11.003</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ijnonlinmec.2012.11.003" target="_blank" >10.1016/j.ijnonlinmec.2012.11.003</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Nonholonomic mechanics: A practical application of the geometrical theory on fibred manifolds to a planimeter motion

Popis výsledku v původním jazyce

A geometrical theory of general nonholonomic mechanical systems on fibred manifolds and their jet prolongations, based on so-called Chetaev-type constraint forces, was developed in 1990s by Krupkova. The relevance of this theory for general types of nonholonomic constraints, not only linear or affine ones, was then verified on appropriate models. Frequently considered constraints on real physical systems are based on rolling without sliding, i.e. they are holonomic, or semiholonomic, i.e. integrable. Onthe other hand, there exist some practical examples of systems subjected to true (non-integrable) nonholonomic constraint conditions. In this paper we study the planimeter-a mechanism for measuring areas which belongs to mechanical systems subjected toconstraint conditions containing among others a true nonholonomic one. We study the planimeter motion using the above mentioned Krupkova's approach.

Název v anglickém jazyce

Nonholonomic mechanics: A practical application of the geometrical theory on fibred manifolds to a planimeter motion

Popis výsledku anglicky

A geometrical theory of general nonholonomic mechanical systems on fibred manifolds and their jet prolongations, based on so-called Chetaev-type constraint forces, was developed in 1990s by Krupkova. The relevance of this theory for general types of nonholonomic constraints, not only linear or affine ones, was then verified on appropriate models. Frequently considered constraints on real physical systems are based on rolling without sliding, i.e. they are holonomic, or semiholonomic, i.e. integrable. Onthe other hand, there exist some practical examples of systems subjected to true (non-integrable) nonholonomic constraint conditions. In this paper we study the planimeter-a mechanism for measuring areas which belongs to mechanical systems subjected toconstraint conditions containing among others a true nonholonomic one. We study the planimeter motion using the above mentioned Krupkova's approach.

Druh

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

CEP obor

BE - Teoretická fyzika

OECD FORD obor

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Projekt

<a href="/cs/project/GA201%2F09%2F0981" target="_blank" >GA201/09/0981: Globální analýza a geometrie fibrovaných prostorů</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2013

Kód důvěrnosti údajů

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

Název periodika

International Journal of Non-Linear Mechanics

ISSN

0020-7462

e-ISSN

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Svazek periodika

50

Číslo periodika v rámci svazku

April 2013

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

6

Strana od-do

19-24

Kód UT WoS článku

000315315300003

EID výsledku v databázi Scopus

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