MÉTODO DAS DIFERENÇAS FINITAS APLICADO À FLAMBAGEM DE COLUNAS

Abstract

Buckling is a phenomenon acting on slender structures that can cause these elements to collapse without prior warning. Therefore, performing a buckling stability analysis is essential for the sizing of columns. In engineering, the buckling phenomenon can be represented by a mathematical model (differential equations). There are several problems that are represented by differential equations, and the phenomenon of buckling is one of them. The Finite Difference Method is a numerical method for solving differential equations in which the derivatives are approximated by finite difference formulas. In this context, this article presents a computational code via the Finite Difference Method (MDF.F90), implemented in the FORTRAN programming language, capable of calculating the critical buckling load, required by an axial compression effort, based on the elastic line equation of a beam. Through the obtained results and with the applications made for the validation of the computational tool, it was verified that it was able to solve the analyzed problems, providing convergent results with the analytical solution.

Keywords: Columns. Buckling. Finite Differences Method. FORTRAN.