Vol.1, No 5, 1998
pp. 627-636
UDC 692.1/.6:539.37:514.13:519.633(045)
ANALYSIS OF HYPERBOLIC PARABOLOIDS
AT SMALL DEFORMATIONS
Ljubica Velimirović1, Grozdana
Radivojević2, Dragan Kostić2
1Faculty of Science, Niš
2Faculty of Civil Engineering and
Architecture, Niš
Abstract. A hyperbolic paraboloid, treated
from the constructional and mathematical aspects, is analyzed in this paper.
In the constructional sense, it is a thin shell of a great bearing capacity
and wide usability in spatial structures, either as a complete form or
in parts. In the mathematical sense, it is treated as a geometrical surface
on which it is possible to determine the rotation field and the field of
infinitesimal deformations, and it is rigid.
ANALIZA HIPERBOLIČNIH PARABOLOIDA
PRI MALIM DEFORMACIJAMA
U radu je analiziran hiperbolički paraboloid tretiran
sa konstruktivnog i matematičkog aspekta. U konstruktivnom smislu to je
tanka ljuska, velike nosivosti, raznovrsne primene u prostornim konstrukcijama
bilo u celini svoje forme ili delovima. U matematičkom smislu tretira se
kao geometrijska površ na kojoj je moguće odrediti polje rotacije i polje
beskonačno malih deformacija.
