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Statements

Subject Item
n2:RIV%2F49777513%3A23520%2F07%3A00000238%21RIV08-MSM-23520___
rdf:type
skos:Concept n14:Vysledek
dcterms: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 This contribution deals with a geometrically 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. Knowledge of principal normal curvatures, their directions and the tensor (Dupin) indicatrix of this differential surface are necessary for description of contact of these surfaces. 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. Method and results of this study will be applied to contact analysis of tooth screw surfaces of screw machines. This contribution deals with a geometrically 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. Knowledge of principal normal curvatures, their directions and the tensor (Dupin) indicatrix of this differential surface are necessary for description of contact of these surfaces. 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. Method and results of this study will be applied to contact analysis of tooth screw surfaces of screw machines.
dcterms:title
The geometry of surfaces contact The geometry of surfaces contact Geometrie dotýkajících se ploch
skos:prefLabel
The geometry of surfaces contact The geometry of surfaces contact Geometrie dotýkajících se ploch
skos:notation
RIV/49777513:23520/07:00000238!RIV08-MSM-23520___
n3:strany
647
n3:aktivita
n18:Z
n3:aktivity
Z(MSM4977751303)
n3:cisloPeriodika
0
n3:dodaniDat
n11:2008
n3:domaciTvurceVysledku
n15:6263410 n15:4356535
n3:druhVysledku
n10:J
n3:duvernostUdaju
n17:S
n3:entitaPredkladatele
n9:predkladatel
n3:idSjednocenehoVysledku
423324
n3:idVysledku
RIV/49777513:23520/07:00000238
n3:jazykVysledku
n13:eng
n3:klicovaSlova
contact mechanics; differential geometry; fi rst and second fundamental tensor; Gaussian and mean curvature; principal curvatures and their directions; screw machine; Taylor series; tensor indicatrix
n3:klicoveSlovo
n7:tensor%20indicatrix n7:Taylor%20series n7:%26%2364257 n7:contact%20mechanics n7:differential%20geometry n7:Gaussian%20and%20mean%20curvature n7:rst%20and%20second%20fundamental%20tensor n7:principal%20curvatures%20and%20their%20directions n7:screw%20machine
n3:kodStatuVydavatele
CZ - Česká republika
n3:kontrolniKodProRIV
[84D514089C64]
n3:nazevZdroje
Applied and Computational Mechanics
n3:obor
n6:BK
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:rokUplatneniVysledku
n11:2007
n3:tvurceVysledku
Siegl, Jaroslav Švígler, Jaromír
n3:zamer
n16:MSM4977751303
s:issn
1802-680X
s:numberOfPages
10
n8:organizacniJednotka
23520