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BIFURCATION PROBLEM OF THIN PLATES WITH IMPLEMENTATION OF COMPUTER PROGRAM

By
Nataša Mrđa ,
Nataša Mrđa
Contact Nataša Mrđa

Faculty of Architecture, Civil Engineering and Geodesy, University of Banja Luka , Banja Luka , Bosnia and Herzegovina

Dijana Majstorović ,
Dijana Majstorović

Faculty of Architecture, Civil Engineering and Geodesy, University of Banja Luka , Banja Luka , Bosnia and Herzegovina

Milorad Došenović ,
Milorad Došenović

Faculty of Architecture, Civil Engineering and Geodesy, University of Banja Luka , Banja Luka , Bosnia and Herzegovina

Dragan Milašinović
Dragan Milašinović

Faculty of Civil Engineering Subotica, University of Novi Sad , Novi Sad , Serbia

Abstract

Considering the complexity of the problem of stress – strain state and stability of structural systems, nonlinear theory is applied in this paper. The subject of the paper is to perform the stiffness matrix and geometric stiffness matrix, and to define the problem of bifurcation stability. Solving the problem of bifurcation stability presents the determination of certain values, which present the determination of critical load. The problem of bifurcation stability is discussed on thin plates. Based on theoretical part, MKEBS program is made in Mathematica software, in order to obtain critical load of plates discretized with a number of elements. The results of MKEBS are shown through examples as the final result of the work.

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