About: Nonholonomic mechanics: A practical application of the geometrical theory on fibred manifolds to a planimeter motion     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

AttributesValues
rdf:type
Description
  • 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. On the 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 to constraint conditions containing among others a true nonholonomic one. We study the planimeter motion using the above mentioned Krupkova's approach.
  • 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. On the 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 to constraint conditions containing among others a true nonholonomic one. We study the planimeter motion using the above mentioned Krupkova's approach. (en)
Title
  • Nonholonomic mechanics: A practical application of the geometrical theory on fibred manifolds to a planimeter motion
  • Nonholonomic mechanics: A practical application of the geometrical theory on fibred manifolds to a planimeter motion (en)
skos:prefLabel
  • Nonholonomic mechanics: A practical application of the geometrical theory on fibred manifolds to a planimeter motion
  • Nonholonomic mechanics: A practical application of the geometrical theory on fibred manifolds to a planimeter motion (en)
skos:notation
  • RIV/00216224:14310/13:00066074!RIV14-GA0-14310___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/09/0981)
http://linked.open...iv/cisloPeriodika
  • April 2013
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 91935
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/13:00066074
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • nonholonomic mechanics; constrained systems; geometrical theory on fibred manifolds (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [617E0169F565]
http://linked.open...i/riv/nazevZdroje
  • International Journal of Non-Linear Mechanics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 50
http://linked.open...iv/tvurceVysledku
  • Musilová, Jana
  • Czudková, Lenka
http://linked.open...ain/vavai/riv/wos
  • 000315315300003
issn
  • 0020-7462
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.ijnonlinmec.2012.11.003
http://localhost/t...ganizacniJednotka
  • 14310
Faceted Search & Find service v1.16.118 as of Jun 21 2024


Alternative Linked Data Documents: ODE     Content Formats:   [cxml] [csv]     RDF   [text] [turtle] [ld+json] [rdf+json] [rdf+xml]     ODATA   [atom+xml] [odata+json]     Microdata   [microdata+json] [html]    About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data] Valid XHTML + RDFa
OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 58 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software