“Data exchange” service offers individual users metadata transfer in several different formats. Citation formats are offered for transfers in texts as for the transfer into internet pages. Citation formats include permanent links that guarantee access to cited sources. For use are commonly structured metadata schemes : Dublin Core xml and ETUBMS xml, local adaptation of international ETDMS scheme intended for use in academic documents.
Export
Nikolić, Vladan M. 1977
Konstruktivna obrada geometrijskih površi i njihova primena u arhitekturi
AutorstvoNekomercijalnoBez prerade 3.0 Srbija (CC BYNCND 3.0)
Dozvoljavate samo preuzimanje i distribuciju dela, ako/dok se pravilno naznačava ime autora, bez ikakvih promena dela i bez prava komercijalnog korišćenja dela. Ova licenca je najstroža CC licenca. Osnovni opis Licence: http://creativecommons.org/licenses/byncnd/3.0/rs/deed.sr_LATN. Sadržaj ugovora u celini: http://creativecommons.org/licenses/byncnd/3.0/rs/legalcode.srLatn
Academic metadata
Doktorska disertacija
Prirodnomatematičke nauke

Univerzitet u Nišu
Građevinskoarhitektonski fakultet
Katedra za konstukcije i konstrukcijske sisteme arhitektonskih objekata
Other Theses Metadata
Constructive treatment of geometric surfaces and their applications in architecture
[V. M. Nikolić]
[20], 187 listova
Datum odbrane: 16.10.2015.
visualization in architecture and civil engineering
Radović, Ljiljana 1969 (mentor)
Marković, Biserka (član komisije)
Obradović, Ratko 1965 (član komisije)
The basics of architecture is complex process permeated with experiments,
innovations and imagination. Architecture and geometry are inseparably
connected, and architecture without geometry cannot exist. The history of
geometry is in the same time also a part of history of architecture and vice versa.
The foundation of every successful architecture is skillful and rational application
of geometrical surfaces in shaping complex space structures, with reaching
aesthetically quality forms. Current researches of form and visual conceptions in
architecture demand one comprehensive knowledge, overview and constructive
treatment of geometrical surfaces and are based upon the application of new
computer technologies.
Classification of surfaces is elaborated in the context of the possibility of their
application in architecture and design. Shown division is clear and usable as a
starting basis for further analyses and successful planning of form of architectonic
objects, as well as other space structures. In practice more frequent are used ruled
geometrical surfaces because of the simplicity of projecting, determination of
basic parameters, as well as simplicity of practical works. In this doctoral thesis are
shown the surfaces that represent basic gathering of the used forms in architecture
and design.
There have been analyzed the surfaces of the second degree and their
application in architecture. The starting hypothesis is proved that constructive
treatment of the surfaces of the second degree it is possible to do with the
introduction of general colineation of the space where infinitely distant plane of
space is put to finality. With space colineation one can determine the picture of
absolute conic of the space in infinite plane. After that, the common elements of
the picture of absolute conic of the space and the picture of infinite distant conic
of quadric, are determined, which allows the determination of the axis, center,
circular dots and circular sections with the quadrics.
For constructive treatment of quadrics it is necessary to determine the common
elements of the conics pair, no matter for reality. This procedure is based only on
geometrical methods and it is possible to use to any other conics pair.
Determination of common elements of conics pair is solved with the establishment
of collinear relation between two collocal fields determined with those two conics.
With finding focuses of the fileds and the application of the procedure for
determination of direct connection between one real double straight line and focus
of general conlienar fields, the sides of common autopolar triangle are determined
and after that also the cutting  section points of conics pair. There were shown
and in details explained the examples of determination of the three conic sections
such as pair of real conics, pair of imaginary conics, i.e. real and imaginary conics.
Ruled surfaces are analyzed of the higher order and transcendent productive
surfaces. Criteria are also set that the analyzed surfaces should fulfill, so that they
could be justified and successfully applied in projecting and shaping of various
space structures. These are first of all universality, simplicity of projecting and
practical use, visual qualities and characteristics, rationality and economy. There
have been suggested the innovative shaped solutions in the context of former
defined criteria, which provides successful overview and implementation of the
analyzed surfaces into geometrical forms of future architectonic objects. The
possibilties of practical use are taking into account through the review of
characteristic segments and cutouts of surfaces, their multiplication and fitting in
complex space structures – assemblies. Special attention in the work is dedicated
to computer generating and constructive treatment of ruled surfaces of higher
degree and transcendent ruled surfaces. NURBS modeling is used because of the
quality and accuracy of treated surfaces in computer programme Rhinoceros. This
conducted research represents the connection of the existing knowledge from the
geometrical surfaces spheres, new original methods and their constructive
treatments and uses of inovative shaped solutions in architecture.
arhitektura, geometrijske površi, površi 2. stepena, pravoizvodne
površi višeg reda, transcedentne pravoizvodne površi, konstruktivna obrada,
intersekcija konika, opšta i perspektivna kolineacija prostora, 3D modelovanje i
vizuelizacija
architecture, geometrical surfaces, quadrics, ruled surfaces of
higher degrees, transcendent ruled surfaces, constructive treatment, intersection
of conics, general or perspective collineation of space, 3D modeling i visualization
514.18:004.9(043.3)
514.181.4:72.01]:004.9(043.3)
Serbian
533790614
Elektronska teza
The basics of architecture is complex process permeated with experiments,
innovations and imagination. Architecture and geometry are inseparably
connected, and architecture without geometry cannot exist. The history of
geometry is in the same time also a part of history of architecture and vice versa.
The foundation of every successful architecture is skillful and rational application
of geometrical surfaces in shaping complex space structures, with reaching
aesthetically quality forms. Current researches of form and visual conceptions in
architecture demand one comprehensive knowledge, overview and constructive
treatment of geometrical surfaces and are based upon the application of new
computer technologies.
Classification of surfaces is elaborated in the context of the possibility of their
application in architecture and design. Shown division is clear and usable as a
starting basis for further analyses and successful planning of form of architectonic
objects, as well as other space structures. In practice more frequent are used ruled
geometrical surfaces because of the simplicity of projecting, determination of
basic parameters, as well as simplicity of practical works. In this doctoral thesis are
shown the surfaces that represent basic gathering of the used forms in architecture
and design.
There have been analyzed the surfaces of the second degree and their
application in architecture. The starting hypothesis is proved that constructive
treatment of the surfaces of the second degree it is possible to do with the
introduction of general colineation of the space where infinitely distant plane of
space is put to finality. With space colineation one can determine the picture of
absolute conic of the space in infinite plane. After that, the common elements of
the picture of absolute conic of the space and the picture of infinite distant conic
of quadric, are determined, which allows the determination of the axis, center,
circular dots and circular sections with the quadrics.
For constructive treatment of quadrics it is necessary to determine the common
elements of the conics pair, no matter for reality. This procedure is based only on
geometrical methods and it is possible to use to any other conics pair.
Determination of common elements of conics pair is solved with the establishment
of collinear relation between two collocal fields determined with those two conics.
With finding focuses of the fileds and the application of the procedure for
determination of direct connection between one real double straight line and focus
of general conlienar fields, the sides of common autopolar triangle are determined
and after that also the cutting  section points of conics pair. There were shown
and in details explained the examples of determination of the three conic sections
such as pair of real conics, pair of imaginary conics, i.e. real and imaginary conics.
Ruled surfaces are analyzed of the higher order and transcendent productive
surfaces. Criteria are also set that the analyzed surfaces should fulfill, so that they
could be justified and successfully applied in projecting and shaping of various
space structures. These are first of all universality, simplicity of projecting and
practical use, visual qualities and characteristics, rationality and economy. There
have been suggested the innovative shaped solutions in the context of former
defined criteria, which provides successful overview and implementation of the
analyzed surfaces into geometrical forms of future architectonic objects. The
possibilties of practical use are taking into account through the review of
characteristic segments and cutouts of surfaces, their multiplication and fitting in
complex space structures – assemblies. Special attention in the work is dedicated
to computer generating and constructive treatment of ruled surfaces of higher
degree and transcendent ruled surfaces. NURBS modeling is used because of the
quality and accuracy of treated surfaces in computer programme Rhinoceros. This
conducted research represents the connection of the existing knowledge from the
geometrical surfaces spheres, new original methods and their constructive
treatments and uses of inovative shaped solutions in architecture.