Original scientific paper
https://doi.org/10.13167/2022.25.4
Numerical Analysis of Geometric and Material Nonlinearity of Beams in the Plane
Besim Demirović
orcid.org/0000-0002-4171-2608
; University of Tuzla, Faculty of Mining Geology and Civil Engineering, Department of Civil Engineering, Tuzla, Bosnia and Herzegovina
Nedim Osmić
; University of Tuzla, Faculty of Mining Geology and Civil Engineering, Department of Civil Engineering, Tuzla, Bosnia and Herzegovina
Rašid Hadžović
; University of “Džemal Bijedić” in Mostar, Faculty of Civil Engineering, Department for Structures, Mostar, Bosnia and Herzegovina
Zijad Požegić
; University of Tuzla, Faculty of Mining Geology and Civil Engineering, Department of Civil Engineering, Tuzla, Bosnia and Herzegovina
Abstract
The paper presents a simultaneous numerical analysis of the geometric and material nonlinearity of the beams. It describes a process of determining the bearing capacity of a stratified cross-section of a beam made of homogeneous and isotropic material in linear and nonlinear domains of material behaviour. Material nonlinearity is analysed by the variation of the cross-sectional stiffness of the beam on bending EI in the stiffness matrix of the system obtained according to the first-order theory. Geometric nonlinearity is introduced into the calculation using the geometric stiffness matrix of the system. Numerical examples present an application of the procedure for solving problems of nonlinear structure analysis. The calculation results obtained in accordance with the procedure described in the paper are compared with the results of the SCIA software package.
Keywords
numerical analysis; geometric nonlinearity; material nonlinearity
Hrčak ID:
290302
URI
Publication date:
23.12.2022.
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