"[83175A959C0D]" . "Rozd\u00EDlov\u00E1 plocha v bod\u011B kontaktu dvou ploch"@cs . . "Plze\u0148" . . . . "2"^^ . "\u0160v\u00EDgler, Jarom\u00EDr" . . . "Differential surface at Contact Point of Two Surfaces" . . . "2007-01-01+01:00"^^ . "417294" . "Differential surface at Contact Point of Two Surfaces" . "6"^^ . "Differential surface at Contact Point of Two Surfaces"@en . "2"^^ . "Rozd\u00EDlov\u00E1 plocha v bod\u011B kontaktu dvou ploch"@cs . "Z\u00E1pado\u010Desk\u00E1 univerzita v Plzni" . "The 1st Young Researchers Conference on Applied Sciences" . . "V Plzni" . . . "978-80-7043-574-8" . . . . . . "Differential surface at Contact Point of Two Surfaces"@en . "differential geometry; fi rst and second fundamental tensor; principal curvatures and their directions; screw machine; Taylor series; tensor indicatrix"@en . "RIV/49777513:23210/07:00000013" . . "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." . "Siegl, Jaroslav" . "RIV/49777513:23210/07:00000013!RIV08-MSM-23210___" . "P(1M0519)" . "23210" . . . "147-152" . "Tento p\u0159\u00EDsp\u011Bvek se zab\u00FDv\u00E1 geometricky p\u0159esn\u00FDm popisem kontaktu mezi dv\u011Bma dan\u00FDma plochama, kter\u00E9 jsou definov\u00E1ny vektorov\u00FDmi funkcemi. Tyto plochy jsou nahrazeny v bod\u011B kontaktu p\u0159ibli\u017En\u00FDma plochama druh\u00E9ho \u0159\u00E1du podle Taylorovy \u0159ady a n\u00E1sledn\u011B je odvozena rozd\u00EDlov\u00E1 plocha t\u011Bchto kvadratick\u00FDch ploch. Znalost hlavn\u00EDch norm\u00E1lov\u00FDch k\u0159ivost\u00ED, jejich sm\u011Bry a (Dupinovu) indikatrix tensoru t\u00E9to rozd\u00EDlov\u00E9 plochy jsou d\u016Fle\u017Eit\u00E9 pro popis kontaktu t\u011Bchto ploch. Pro popis geometrie plochy je pou\u017Eit prvn\u00ED (metrick\u00FD) a druh\u00FD z\u00E1kladn\u00ED tensor na plo\u0161e a dal\u0161\u00ED metody diferenci\u00E1ln\u00ED geometrie. Je provedena geometrick\u00E1 vizualizace z\u00EDskan\u00FDch v\u00FDsledk\u016F t\u00E9to anal\u00FDzy. Metody a v\u00FDsledky t\u00E9to studie budou aplikov\u00E1ny na kontaktn\u00ED"@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."@en .