diplomska naloga
David Božiček (Author), Boštjan Brank (Mentor), Janko Logar (Thesis defence commission member), Boris Kompare (Thesis defence commission member), Tomo Cerovšek (Co-mentor)

Abstract

Geometrija lupinastih konstrukcij

Keywords

gradbeništvo;diplomska dela;UN;analiza ploskev;prva osnovna forma;druga osnovna forma;Gaussova ukrivljenost;povprečna ukrivljenost;glavna radija ukrivljenosti;

Data

Language: Slovenian
Year of publishing:
Source: Ljubljana
Typology: 2.11 - Undergraduate Thesis
Organization: UL FGG - Faculty of Civil and Geodetic Engineering
Publisher: [D. Božiček]
UDC: 624.074.43(043.2)
COBISS: 6397793 Link will open in a new window
Views: 1801
Downloads: 521
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Other data

Secondary language: English
Secondary title: Geometry of shell structures
Secondary abstract: In the first part of the thesis, I describe and partly derive some important concepts in differential geometry of surfaces: surface parameterization, the first and the second fundamental form, the principal radiuses of curvature, Gaussian and mean curvature. In the second part of the thesis I use a short program in Mathematica, in order to plot some surfaces (sphere, ellipsoid, spherical dome, spherical ellipsoid, paraboloid, elliptic paraboloid, hyperbolic paraboloid, cylinder, cone, torus, hiperboloid, catenoid) and show how Gaussian and mean curvature and principale radiuses of curvatures change on these surfaces. At the end of the thesis I use a program named Rhinoceros, for drawing and analysing some more complex surfaces.
Secondary keywords: graduation thesis;civil engineering;surface analysis;first fundamental form;second fundamental form;Gaussian curvature;mean curvature;principal radiuses of curvature;
File type: application/pdf
Type (COBISS): Bachelor thesis/paper
Thesis comment: Univ. v Ljubljani, Fak. za gradbeništvo in geodezijo
Pages: IX f., 41 str.
Type (ePrints): thesis
Title (ePrints): Geometry of shell structures
Keywords (ePrints): analiza ploskev;prva osnovna forma;druga osnovna forma;Gaussova ukrivljenost;povprečna ukrivljenost;glavna radija ukrivljenosti
Keywords (ePrints, secondary language): surface analysis;first fundamental form;second fundamental form;Gaussian curvature;mean curvature;principal radiuses of curvature
Abstract (ePrints): V prvem delu diplomske naloge predstavim in tudi deloma izpeljem pomembne pojme v diferencialni geometriji ploskev: parametrizacijo ploskve, prvo in drugo osnovno formo, glavna radija ukrivljenosti, Gaussovo in povprečno ukrivljenost. V drugem delu naloge predstavim in uporabim kratek program v Mathematici, s katerim izrišem nekaj ploskev (sfero, elipsoid, sferično kupolo, sferični elipsoid, paraboloid, eliptični paraboloid, hiperbolični paraboloid, valj, stožec, torus, hiperboloid in katenoid) in prikažem, kako se spreminjajo Gaussova in povprečna ukrivljenost ter glavna radija ukrivljenosti po ploskvi. Na koncu diplomske naloge uporabim program Rhinoceros za izris in analizo nekaj bolj zapletenih ploskev.
Abstract (ePrints, secondary language): In the first part of the thesis, I describe and partly derive some important concepts in differential geometry of surfaces: surface parameterization, the first and the second fundamental form, the principal radiuses of curvature, Gaussian and mean curvature. In the second part of the thesis I use a short program in Mathematica, in order to plot some surfaces (sphere, ellipsoid, spherical dome, spherical ellipsoid, paraboloid, elliptic paraboloid, hyperbolic paraboloid, cylinder, cone, torus, hiperboloid, catenoid) and show how Gaussian and mean curvature and principale radiuses of curvatures change on these surfaces. At the end of the thesis I use a program named Rhinoceros, for drawing and analysing some more complex surfaces.
Keywords (ePrints, secondary language): surface analysis;first fundamental form;second fundamental form;Gaussian curvature;mean curvature;principal radiuses of curvature
ID: 8312879