Cilj istraživanja ovog rada je bio da se iznađu geometrijska rešenja za formiranje prostornih rešetki nad pravilnim poligonalnim osnovama, tako da se postigne prostorna struktura koja ispunjava zahteve rigidnosti datog sklopa, po osnovi geometrijske stabilnosti trougla kao
ravne figure. Takođe, težnja je bila i da se nađe što jednostavnije rešenje, sa upotrebom minimalnog broja različitih štapova u samoj konfiguraciji prostorne rešetke. U tom smislu, moguće je primeniti nekoliko varijanti rasporeda štapova. Najekonomičnije od njih se svodi upravo na geometriju konkavnih kupola druge vrste, buduci da se radi o jednakoivičnim poliedrima kao osnovama za dalju nadogradnju tridimenzionalnih stuktura. Omotač konkavnih kupola druge vrste nastaje nabiranjem ravne mreže, a prevođenjem ivica ovog omotača u sistem štapova, uz dodavanje minimalnog broja različitih tipskih štapova razupirača, dobijamo strukturu kompozitnog poliedra prostorne rešetke.
The aim of this paper is to find geometric solutions for the formation of space frames over regular polygonal bases, so to achieve a spatial structure that meets the rigidity requirements of a given assembly, based on the geometric stability of a triangle as a flat figure. Also, the aim is to find the simplest possible solution, with the use of a minimum number of different struts in the configuration of the space frame. In that sense, it is possible to apply several variants of strut arrangement. The most material-efficient of them comes down to the geometry of concave cupolae of the second sort, since they are polyhedra of all the edges of the same length, as a basis for further upgrading of three-dimensional structures. The lateral surface of a concave cupola of the second sort is created by folding its triangular planar net, and by transposing the edges of this surface into a system of struts, having the minimum number of different type struts, we obtain the structure of a composit...e polyhedron in the role of a space frame.
TY - CONF
AU - Obradović, Marija
AU - Mišić, Slobodan
PY - 2008
UR - https://grafar.grf.bg.ac.rs/handle/123456789/2041
AB - Cilj istraživanja ovog rada je bio da se iznađu geometrijska rešenja za formiranje prostornih rešetki nad pravilnim poligonalnim osnovama, tako da se postigne prostorna struktura koja ispunjava zahteve rigidnosti datog sklopa, po osnovi geometrijske stabilnosti trougla kao
ravne figure. Takođe, težnja je bila i da se nađe što jednostavnije rešenje, sa upotrebom minimalnog broja različitih štapova u samoj konfiguraciji prostorne rešetke. U tom smislu, moguće je primeniti nekoliko varijanti rasporeda štapova. Najekonomičnije od njih se svodi upravo na geometriju konkavnih kupola druge vrste, buduci da se radi o jednakoivičnim poliedrima kao osnovama za dalju nadogradnju tridimenzionalnih stuktura. Omotač konkavnih kupola druge vrste nastaje nabiranjem ravne mreže, a prevođenjem ivica ovog omotača u sistem štapova, uz dodavanje minimalnog broja različitih tipskih štapova razupirača, dobijamo strukturu kompozitnog poliedra prostorne rešetke.
AB - The aim of this paper is to find geometric solutions for the formation of space frames over regular polygonal bases, so to achieve a spatial structure that meets the rigidity requirements of a given assembly, based on the geometric stability of a triangle as a flat figure. Also, the aim is to find the simplest possible solution, with the use of a minimum number of different struts in the configuration of the space frame. In that sense, it is possible to apply several variants of strut arrangement. The most material-efficient of them comes down to the geometry of concave cupolae of the second sort, since they are polyhedra of all the edges of the same length, as a basis for further upgrading of three-dimensional structures. The lateral surface of a concave cupola of the second sort is created by folding its triangular planar net, and by transposing the edges of this surface into a system of struts, having the minimum number of different type struts, we obtain the structure of a composite polyhedron in the role of a space frame.
PB - Niš: Faculty of Architecture and Civil Engineering in Niš; Serbian Society for Geometry and Graphics (SUGIG)
C3 - Proccedings | Zbornik radova (24th national and 1st international scientific conference moNGeometrija 2008)
T1 - Prevođenje konkavnih kupola druge vrste u tridimenzionalne konstruktivne sisteme – prostorne rešetke
EP - 221
SP - 209
ER -
@conference{
author = "Obradović, Marija and Mišić, Slobodan",
year = "2008",
abstract = "Cilj istraživanja ovog rada je bio da se iznađu geometrijska rešenja za formiranje prostornih rešetki nad pravilnim poligonalnim osnovama, tako da se postigne prostorna struktura koja ispunjava zahteve rigidnosti datog sklopa, po osnovi geometrijske stabilnosti trougla kao
ravne figure. Takođe, težnja je bila i da se nađe što jednostavnije rešenje, sa upotrebom minimalnog broja različitih štapova u samoj konfiguraciji prostorne rešetke. U tom smislu, moguće je primeniti nekoliko varijanti rasporeda štapova. Najekonomičnije od njih se svodi upravo na geometriju konkavnih kupola druge vrste, buduci da se radi o jednakoivičnim poliedrima kao osnovama za dalju nadogradnju tridimenzionalnih stuktura. Omotač konkavnih kupola druge vrste nastaje nabiranjem ravne mreže, a prevođenjem ivica ovog omotača u sistem štapova, uz dodavanje minimalnog broja različitih tipskih štapova razupirača, dobijamo strukturu kompozitnog poliedra prostorne rešetke., The aim of this paper is to find geometric solutions for the formation of space frames over regular polygonal bases, so to achieve a spatial structure that meets the rigidity requirements of a given assembly, based on the geometric stability of a triangle as a flat figure. Also, the aim is to find the simplest possible solution, with the use of a minimum number of different struts in the configuration of the space frame. In that sense, it is possible to apply several variants of strut arrangement. The most material-efficient of them comes down to the geometry of concave cupolae of the second sort, since they are polyhedra of all the edges of the same length, as a basis for further upgrading of three-dimensional structures. The lateral surface of a concave cupola of the second sort is created by folding its triangular planar net, and by transposing the edges of this surface into a system of struts, having the minimum number of different type struts, we obtain the structure of a composite polyhedron in the role of a space frame.",
publisher = "Niš: Faculty of Architecture and Civil Engineering in Niš; Serbian Society for Geometry and Graphics (SUGIG)",
journal = "Proccedings | Zbornik radova (24th national and 1st international scientific conference moNGeometrija 2008)",
title = "Prevođenje konkavnih kupola druge vrste u tridimenzionalne konstruktivne sisteme – prostorne rešetke",
pages = "221-209"
}
Obradović, M.,& Mišić, S.. (2008). Prevođenje konkavnih kupola druge vrste u tridimenzionalne konstruktivne sisteme – prostorne rešetke. in Proccedings | Zbornik radova (24th national and 1st international scientific conference moNGeometrija 2008)
Niš: Faculty of Architecture and Civil Engineering in Niš; Serbian Society for Geometry and Graphics (SUGIG)., 209-221.
Obradović M, Mišić S. Prevođenje konkavnih kupola druge vrste u tridimenzionalne konstruktivne sisteme – prostorne rešetke. in Proccedings | Zbornik radova (24th national and 1st international scientific conference moNGeometrija 2008). 2008;:209-221..
Obradović, Marija, Mišić, Slobodan, "Prevođenje konkavnih kupola druge vrste u tridimenzionalne konstruktivne sisteme – prostorne rešetke" in Proccedings | Zbornik radova (24th national and 1st international scientific conference moNGeometrija 2008) (2008):209-221.
,