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Description
  • Tento příspěvek se zabývá geometricky přesným popisem kontaktu mezi dvěma danýma plochama, které jsou definovány vektorovými funkcemi. Tyto plochy jsou nahrazeny v bodě kontaktu přibližnýma plochama druhého řádu podle Taylorovy řady a následně je odvozena rozdílová plocha těchto kvadratických ploch. Znalost hlavních normálových křivostí, jejich směry a (Dupinovu) indikatrix tensoru této rozdílové plochy jsou důležité pro popis kontaktu těchto ploch. Pro popis geometrie plochy je použit první (metrický) a druhý základní tensor na ploše a další metody diferenciální geometrie. Je provedena geometrická vizualizace získaných výsledků této analýzy. Metody a výsledky této studie budou aplikovány na kontaktní (cs)
  • This contribution deals with a geometrical exact description of contact between two given surfaces which are defined by the vector functions. These surfaces are substituted at a contact point by approximate surfaces of the second order in accordance with the Taylor series and consequently there is derived a differential surface of these second order surfaces. For description of contact of these surfaces the determination of principal normal curvatures, principle directions and the tensor indicatrix of this differential surface is made. For description of surface geometry the first and the second surface fundamental tensor and further methods of the differential geometry are used. A geometrical visualisation of obtained results of this analysis is made. This study will be applied to contact analysis of technical surfaces.
  • This contribution deals with a geometrical exact description of contact between two given surfaces which are defined by the vector functions. These surfaces are substituted at a contact point by approximate surfaces of the second order in accordance with the Taylor series and consequently there is derived a differential surface of these second order surfaces. For description of contact of these surfaces the determination of principal normal curvatures, principle directions and the tensor indicatrix of this differential surface is made. For description of surface geometry the first and the second surface fundamental tensor and further methods of the differential geometry are used. A geometrical visualisation of obtained results of this analysis is made. This study will be applied to contact analysis of technical surfaces. (en)
Title
  • Differential surface at Contact Point of Two Surfaces
  • Rozdílová plocha v bodě kontaktu dvou ploch (cs)
  • Differential surface at Contact Point of Two Surfaces (en)
skos:prefLabel
  • Differential surface at Contact Point of Two Surfaces
  • Rozdílová plocha v bodě kontaktu dvou ploch (cs)
  • Differential surface at Contact Point of Two Surfaces (en)
skos:notation
  • RIV/49777513:23210/07:00000013!RIV08-MSM-23210___
http://linked.open.../vavai/riv/strany
  • 147-152
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M0519)
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
  • 417294
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23210/07:00000013
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • differential geometry; fi rst and second fundamental tensor; principal curvatures and their directions; screw machine; Taylor series; tensor indicatrix (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [83175A959C0D]
http://linked.open...v/mistoKonaniAkce
  • Plzeň
http://linked.open...i/riv/mistoVydani
  • V Plzni
http://linked.open...i/riv/nazevZdroje
  • The 1st Young Researchers Conference on Applied Sciences
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...iv/tvurceVysledku
  • Švígler, Jaromír
  • Siegl, Jaroslav
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
number of pages
http://purl.org/ne...btex#hasPublisher
  • Západočeská univerzita v Plzni
https://schema.org/isbn
  • 978-80-7043-574-8
http://localhost/t...ganizacniJednotka
  • 23210
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