Reliability of some axisymmetric shell structure by the response function method and the generalized stochastic perturbation technique

摘要

The main idea of the paper is to demonstrate an application of numerical analysis based on the generalized stochastic perturbation method and the response function technique to determine the reliability indices for different performance functions concerning eigenfrequencies, stresses or vertical deflections for a large scale shell structure. Computational analysis has been caried out for the example of the steel skeletal structure supporting axisymmetric large span shell exhibiting Gaussian uncertainty in the wall thickness of all structural members. The resulting values of the reliability indices can be further employed in reliability assessment by comparing the minimal one with its limit given in Eurocode and depends upon reliability class, reference period and limit state type. Further extension of this model towards the Second Order Reliability Method application would be accompanied with the stochastic forced vibration analysis.