Time-dependent analysis of critical buckling load using optimization technique

Resumo

A mathematical and numerical analysis was developed to determine the time-dependent critical buckling

load of a slender reinforced concrete column, by applying optimization techniques. In the analysis, the non-
linearity due to the slenderness of the system together with the rheological property of the concrete considered

through the Eurocode 2 was considered in the calculation. The analytical solution was based on the Rayleigh
method and the numerical one was developed using the Finite Element Method (FEM). To compare results, two
trial functions of the Rayleigh method were used, a trigonometric and a quadratic. In this context, the quadratic
equation was used to apply the optimization technique with its coefficients adjusted to produce results as close as
possible to that from FEM, which had been evaluated the found error.