On application of the relative entropy concept in reliability assessment of some engineering cable structures

The file attached has been written in the computer algebra system MAPLE 2024. It contains some numerical data obtained with the Finite Element Method system ROBOT concerning horizontal displacements of the top of some steel cylindrical chimney subjected to typical environmental actions. They have been obtained for several trials values of this shell thickness. Further, this parameter is introduced as the main Gaussian uncertainty source in this model and reliability indices have been determined using the First Order Reliability Method. These values determined according to the provisions of the designing code Eurocode 0 and 3-1-1 have been contrasted with the values obtained with the help of Bhattacharyya relative entropy. Two datasets given in this spreadsheet correspond to two different models of the chimney - namely the beam model, where the chimney is represented by Euler-Beronoulli finite elements, and also the 4-noded thin shell finite elements.