Geometrija lupinastih konstrukcij

diplomska naloga

David Božiček (Avtor), Boštjan Brank (Mentor), Janko Logar (Član komisije za zagovor), Boris Kompare (Član komisije za zagovor), Tomo Cerovšek (Komentor)

Povzetek

Ključne besede

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

Podatki

Jezik:	Slovenski jezik
Leto izida:	2013
Izvor:	Ljubljana
Tipologija:	2.11 - Diplomsko delo
Organizacija:	UL FGG - Fakulteta za gradbeništvo in geodezijo
Založnik:	[D. Božiček]
UDK:	624.074.43(043.2)
COBISS:	6397793
Št. ogledov:	1801
Št. prenosov:	521
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Angleški jezik
Sekundarni naslov:	Geometry of shell structures
Sekundarni povzetek:	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.
Sekundarne ključne besede:	graduation thesis;civil engineering;surface analysis;first fundamental form;second fundamental form;Gaussian curvature;mean curvature;principal radiuses of curvature;
Vrsta datoteke:	application/pdf
Vrsta dela (COBISS):	Diplomsko delo/naloga
Komentar na gradivo:	Univ. v Ljubljani, Fak. za gradbeništvo in geodezijo
Strani:	IX f., 41 str.
Vrsta dela (ePrints):	thesis
Naslov (ePrints):	Geometry of shell structures
Ključne besede (ePrints):	analiza ploskev;prva osnovna forma;druga osnovna forma;Gaussova ukrivljenost;povprečna ukrivljenost;glavna radija ukrivljenosti
Ključne besede (ePrints, sekundarni jezik):	surface analysis;first fundamental form;second fundamental form;Gaussian curvature;mean curvature;principal radiuses of curvature
Povzetek (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.
Povzetek (ePrints, sekundarni jezik):	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.
Ključne besede (ePrints, sekundarni jezik):	surface analysis;first fundamental form;second fundamental form;Gaussian curvature;mean curvature;principal radiuses of curvature
ID:	8312879