Sensitivity Analysis of Stability Problems of Steel Structures using Shell Finite Elements and Nonlinear Computation Methods

The main focus of the paper is the analysis of the influence of residual stress on the ultimate limit state of a hot‐rolled member in compression. The member was modelled using thin‐walled elements of type SHELL 181 and meshed in the programme ANSYS. Geometrical and material non‐linear analysis was used. The influence of residual stress was studied using variance‐based sensitivity analysis. In order to obtain more general results, the non‐dimensional slenderness was selected as a study parameter. Comparison of the influence of the residual stress with the influence of other dominant imperfections is illustrated in the conclusion of the paper. All input random variables were considered according to results of experimental research.

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