Journal of
Faculty of Civil Engineering


FACULTY JOURNALS
SCIENTIFIC MEETINGS
ARCHIVE







JOURNAL OF FACULTY OF CIVIL ENGINEERING
INTERNATIONAL CONFERENCE
CONTEMPORARY ACHIEVEMENTS IN CIVILENGINEERING 25, 2014.y., pp. 319-324


BIFURCATION STABILITY OF THIN PLATES IN FINITE ELEMENT METHOD APPLICATION PROGRAMMING
 
DOI: 10.14415/konferencijaGFS2014.042
UDC: 624.073:624.046.3
CC-BY-SA 4.0 license
Author : Mrđa, Nataša; Milašinović, Dragan D.
 
 Summary:
 This paper presents the finite element method adapted to the analysis of stability problem of thin plates. Orthotropic finite element with twelve degrees of freedom is developed and the interpolation shape functions are evaluated. The main 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 critical load. The problem of bifurcation stability is discussed on thin plates with different boundary conditions. Based on theoretical explanations, MKEBS computer program is made in Mathematica software, in order to obtain critical load of plates discretized with various number of finite elements. The results of MKEBS are shown through examples as the final results of the work.
 
 Keywords:
 Bifurcation stability, finite element method, Wolfram Mathematica