Application of the Generalized Stochastic Perturbation Method in cable structures analysis

The main focus of this paper is the presentation of the capabilities of the numerical analysis dedicated to cable structures affected by random parameters. The main tool of the analysis carried out is the Generalized Stochastic Perturbation Method. It allows to determine numerically the statistical data for horizontal reaction of a single cable with respect to random parameters, such as the modulus of elasticity of rope or the magnitude of loading. Central probabilistic moments of structure responses are calculated using the analytical approach to the determination of horizontal reactions of a single cable supported with a stochastic perturbation technique. The moments were obtained for random Young modulus and loading. In the analyses, computer algebra system MAPLE v.13 was applied. The computer application described in the paper may be utilized in reliability analysis of much more complex cable structures such as masts, girders, roofs or cable supported bridges.