ABSTRACT

The aim of this work is numerical study of stochastic time-invariant reliability of some steel mast subjected to dynamic fluctuations of the wind. This structure undoubtedly belongs to the highest reliability class RC3, so that its precise stochastic analysis should be available. Further motivation is stochastic analysis of skeletal steel structures subjected to large deformations, which may be problematic especially for the masts. This study has been performed using civil engineering oriented Finite Element Method package ROBOT, while stochastic calculus have been programmed in symbolic algebra system MAPLE, where dynamic responses of this structure have been visualized and processed also. Two different resulting dynamic spectra have been contrasted here – the one resulting from Newmark method and the second, resulting from application of the Hilber-Hughes-Taylor approach. Probabilistic analysis has been entirely carried out using higher order iterative generalized stochastic perturbation technique compared with the Monte-Carlo simulation and also with the semi-analytical method.