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2011, vol. 39, br. 1, str. 25-32
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Identifikacija deformacijsko naponskog stanja cilindričnog rezervoara sa zidovima promenljive debljine
Identification of the stress-strain state of a cylindrical tank with walls of variable thickness
Sažetak
U ovom radu je izvršena deformacijsko-naponska analiza omotača cilindričnog rezervoara, izrađenog iz dva segmenta različitih debljina, opterećenog hidrostatičkim pritiskom vode. Formirani su fizički i matematički modeli merodavni za analizu ugiba i napona omotača u funkciji od hidrostatičkog pritiska. Određene su funkcije raspodele ugiba, transverzalnih sila i odgovarajućih momenata omotača odnosno segmenata rezervoara, kao i napona. Identifikovan je međusoban uticaj pojedinog segmenta rezervoara na ostale, u zavisnosti od dužine i debljine lima primenjenih segmenata, čime je stvorena mogućnost optimalnog projektovanja rezervoara simetrično opterećenih u odnosu na osu. Dobijeni rezultati analitičkim postupkom su u saglasnosti sa rezultatima MKE, dijagrami raspodele ugiba, momenata, transverzalnih sila i napona su identični, dok maksimalno odstupanje tih veličina ne prelazi 5 %.
Abstract
This paper presents the stress-strain analysis of a cylindrical tank shell made of two segments with different thickness, loaded by the hydrostatic pressure of water. Physical and mathematical models relevant for the analysis of deflection and stresses of the tank shell as a function of hydrostatic pressure are built. Functions of distribution of deflection, transverse forces and appropriate moments of the tank shell, i.e. tank segments, as well as stresses are determined. The mutual influences among the tank segments, depending on the length and thickness of the plate of applied segments, are identified, which creates the possibility of optimum design of tanks that are symmetrically loaded in relation to the axis. The results obtained by the analytical procedure correspond to the results of FEM. Diagrams of distribution of deflection, moments, transverse forces and stresses are identical, while the maximum deviation of those values does not exceed 5 %.
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