Vol.10, No 2, 2012 pp. 223 - 234
UDC
624.042.8:519.6=111
DOI: 10.2298/FUACE1202223D
THE APPLICATION OF INTERVAL CALCULUS IN ESTIMATION OF DYNAMIC CHARACTERISTICS OF STRUCTURES
Đorđe Đorđević, Predrag Petronijević
University of Niš, Faculty of Civil Engineering and Architecture, Serbia
E-mail: djordje.djordjevic@gaf.ni.ac.rs
The paper analyzed application of interval calculus in estimation of dynamic characteristics of linear systems. The eigen periods of oscillation of structures are affected by several parameters: geometrical characteristics of cross sections of members, magnitude of the mass concentrated in the floors and modulus of elasticity of materials. As a numerical example, the frame reinforced concrete structure was taken, for which the mentioned parameters are given in the form interval. The result is also obtained in the form of interval so it is possible to observe the direct effects on the value of the structural oscillation periods by changing one or several parameters.
Key words:
interval calculus, eigenfrequency analysis, matrix formulation.
PRIMENA INTERVALNOG RAČUNA ZA PROCENU DINAMIČKIH KARAKTERISTIKA KONSTRUKCIJA
U radu je analizirana primena intervalnog računa u proceni dinamičkih karakteristika linijskih sistema. Na sopstvene periode oscilovanja konstrukcija utiče nekoliko parametara geometrijske karakteristike poprečnog preseka štapova, veličina mase skoncentrisane u etažama i moduo elastičnosti betona. Kao numerički primer je uzeta ramovska armiranobetonska konstrukcija kod koje su navedeni parametri zadani u intervalnom obliku. Rezultat se takođe dobija u intervalnom obliku tako da je moguće pratiti direktan uticaj promenom jednog ili više parametara na vrednost perioda oscilovanja konstrukcija.
Ključne reči:
intervalni račun, sopstvene frekfence, matrična formulacija
