Hybrid Approach to the First Order Reliability Method in the Reliability Analysis of a Spatial Structure

The objective of the article involves presenting two approaches to the structure reliability analysis. The primary research method was the First Order Reliability Method (FORM). The Hasofer-Lind reliability index beta in conjunction with transformation method in the FORM was adopted as the measure of reliability. The first proposal was combining NUMPRESS software with the non-commercial KRATA program. In this case, the implicit form of the random variables function was created. Limit state function was symbolically given in the standard math notation as a function of the basic random and external variables. The second analysis proposed a hybrid approach enabling the introduction of explicit forms of limit state functions to the reliability program. To create the descriptions of this formula, the neural networks were used and our own original FEM module. The combination of conventional and neural computing can be seen as a hybrid system. The explicit functions were implemented into NUMPRESS software. The values of the reliability index for different descriptions of the mathematical model of the structure were determined. The proposed hybrid approach allowed us to obtain similar results to the results from the reference method.

Automated summary

The article presents two approaches to structure reliability analysis: one using the First Order Reliability Method (FORM) and the other a hybrid method. The first approach combines NUMPRESS software with the non-commercial KRATA program to create implicit functions, while the second approach introduces explicit forms of limit state functions using neural networks and an original FEM module.