Abstract Structural safety of functionally graded material considering multi-source uncertainties significantly impacts its application in thermal protection systems. To accurately quantify the uncertain factors and evaluate the structural safety, this paper presents a novel reliability analysis method for functionally graded plates based on the ellipsoid-interval formed evidence theory. Firstly, the thermal behavior of a corrugated sandwich panel with webs made of functionally graded material is analyzed by the finite element method. Subsequently, considering the inconsistent correlation of uncertain variables, this paper develops an ellipsoid-interval formed evidence theory model which consists of ellipsoid-formed frame of discernment for correlated variables and interval-formed discernment for independent variables. On this basis, a novel evidence theory-based reliability analysis framework is constructed for structural safety assessment considering multi-source uncertainties. Meanwhile, to improve the computational efficiency of the limit state function, a new active learning Kriging model, which utilizes a variance reduction function as the sampling strategy, is developed as the surrogate model. Finally, a mathematical example and an engineering case of a thermal protection system are provided to verify the effectiveness of the proposed method.
Novel evidence theory-based reliability analysis of functionally graded plate considering thermal stress behavior
2024-01-25
Article (Journal)
Electronic Resource
English
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